images listlengths 1 1 | problem stringlengths 13 714 | answer stringlengths 1 169 | id stringlengths 1 4 | choices listlengths 4 4 | ground_truth stringclasses 4
values |
|---|---|---|---|---|---|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKAAAABYCAAAAABXZaOFAAAGQUlEQVR4nMWbW2wUVRjH/19bRGOjJJoYU5BahEKMsjyhIcIGArsPZosWA0ZMSiwICaaJPBuaaKIPkqi00svWVqWCaRsvmNKN5RaFiJBsiSLQpGZRMBp4ALI+dMv282Eu2+7MnMvMxPmn7VzOd8785vvOOXPOnCkxIhKDACBfLTar+D9YXEXG5gUSqYKqIgM0CP84h7dERu9E50FDB2LGlsoTyDjDEQMWD60AAJCjKbB5JmLAI8selFhEDNjT... | <image>In order to measure the height of the school flagpole AC, a school math interest group erected a benchmark DF with a length of 1.5 at point F. As shown in the figure, the length of the shadow EF of DF is measured as 1.0, and then measure the length of the shadow BC of the flagpole AC to be 6.0, then the height o... | 9.0 | 149 | [
"6米",
"7米",
"8.5米",
"9米"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANQAAAB6CAAAAADioyJaAAAIJElEQVR4nN2cb2wURRjGn5ndKikkJ1ggkFZSLQqpAYR+UIxggiY0VnORGIMYqBqMekRS9YPR0rsTFY2IGGvUqLH4N0aUq5aiQcSCFIwlmAhWhKBCQREwFi2Cvd3XD7d7e7d3e7t3t399PnRuZ+dm5rcz+z67O3tlhP+TTvd9+kzzC6LX3ShZ9Pt4fdaxt146THM6ZgcXioVvj2Rl/P76K79cuOIGcdYBUFC1AbhR0jaPPzMBo1uPEH2N1qBC... | <image>As shown in the figure, Xiaodong uses a bamboo pole with a length of 3.2 as a measuring tool to measure the height of the school flagpole, and moves the bamboo pole so that the shadow on the top of the pole and the flag pole falls on the same point on the ground. At this time, the distance between the bamboo pol... | 12.0 | 150 | [
"12m",
"10m",
"8m",
"7m"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALcAAABwCAAAAAB56L5PAAALtElEQVR4nNVce4wV1R3+ztx72V0UFZi5e3ddWFgQKKKYiuIjKoEWtS2mKSVFgmLwlfggyqNVG1tCrWJaKyogL9PWUlADlqA1UbAVgyKC1UobIy61yMPtri7vhb0zc77+MTP3zr137rz2bnC/cPd33ueb3/zOb845cwZB9DToKVAop5tFWBDA0+m0NuSfKUAgebr5hIUAcO/hGY0HJuzoA6DH6BsAjEP9ce6QE0BP4W0PQlafiecuzACA6Enj... | <image>As shown in the figure, CD is a plane mirror, the light is emitted from point A, reflected by point E on CD, and irradiated to point B. If the incident angle is α, AC perpendicular CD, BD perpendicular CD, the feet of perpendicular are C, D, and AC = 3.0, BD = 6.0, CD = 10.0, then the length of the line segmen... | \frac{20}{3} | 151 | [
"\\frac{20}{3}",
"\\frac{10}{3}",
"7",
"\\frac{14}{3}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAF0AAABkCAAAAADBb2N6AAAFWElEQVR4nLWaT2wUdRTHP29mzBrw5moMQUzwX20NmACh/K1mK0EKSY1eWuUANNy8tBGMKBQTT42e9GRM1khRswcOVgimVapuI2G9cHBjqHhoTUhMJEghhc7O8zAzu9vuzuzs7sy3SX+Z3/zmO79585333u/9FnV0AIC9Gj8MhLODRdXpTuKHAWrf77A/354Qu8y8yPga60gC7KhqFigmYHVVA7hY1DfXJTFzDJi/2cGuVUmxT+2HoxxLiP1i... | <image>As shown in the figure, Xiaoming designed two right angles to measure the width of the river BC, he measured AB = 2.0, BD = frac {7.0}{3.0}, CE = 9.0, then the width of the river BC is () | \frac{40}{7}米 | 152 | [
"\\frac{7}{2}米",
"\\frac{17}{2}米",
"\\frac{40}{7}米",
"11米"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJAAAACACAAAAADB+7//AAAIiElEQVR4nM1bT2wbWRn/jWV3By5YWnXlag9MW4ScBWlnc8ErQCQI0VRC1Lkll63DJQkSSiIhZXOyc1glVRFJEajpAdkcSrMnB3FIkFbEC0gJK7U2EiKRlsXTlVACbIklQJn1uPNxmH9vPG8cT+KZ6e+Qee/7njM/f9833/vee2MBhBcKibgJdCNOQuohRxgnoY1R1SsUYoshVbySuzHjEcdmocbQw1zxAU9DsaCe2ZbrlK96FDFZqDW6khZl... | <image>As shown in the figure, a student saw a tree by the lake. He visually observed that the distance between himself and the tree is 20.0, and the reflection of the top of the tree in the water is 5.0 far away from him. The student's height is 1.7, and the height of the tree is ( ). | 5.1 | 153 | [
"3.4",
"5.1",
"6.8",
"8.5"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG8AAACSCAAAAABuost7AAAaCElEQVR4nLVbeVxUVfv/njtzZ2AY2RFFAQEhBEWznwtmmKm5pKXmm6+79WpmlqapaS4VlZqWmaKVmmKblluvC66ouOSupCKKbMq+gwPDzNyZ+/z+uDPMHQTs9UPPH3DuOc9ynuc855znee4dRvgHgBiQaIl4GJF54UVv6dEKyn9CHBiAy1uDi19NP7zbG2B2kf+MPAB437LX+XixJ7PPAADYP2JPWC4/dAniXXLnpO3o6jDwD+hHTDx3cE8x... | <image>As shown in the figure, AB is a fixed climbing ladder leaning on the wall, the distance from the foot of the ladder B to the foot of the wall C is 1.6, the distance from the point D on the ladder to the wall is 1.4, and the length of the ladder is 0.5, then the length of the ladder is () | 4.0 | 154 | [
"3.5m",
"4m",
"4.5m",
"5m"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHoAAABkCAAAAABs7nvTAAAJA0lEQVR4nL2ae4xcVRnAvzt3trNTtrtp6aSAS6s8FprCQlqRplaXpLaGxx+EQGiIRR5idNVAIyXhDyTRP0ha4S+D8pDU2GgbigQUIopSqULLQwMtJS1Ql0LZsu1u9zEz987cc76ff9yZ2dnHPO64M98fe+6955z9ne873/nOaxykxWK1DRsXEafl6JLEWsgqaLn3cPjUSrQjIiLZ+5YMO61Gi4jk5NFFuTNFW4kmNHdi9/KxJaEBWoZ2QnN/... | <image>As shown in the figure, the sunlight enters the room from the windows of the classroom, the length of the shadow of the window frame AB on the ground DE = 1.8, the distance from the lower eaves of the window to the ground BC = 1.0, EC = 1.2, then the height of the window AB is () | 1.5 | 155 | [
"1.5m",
"1.6m",
"1.86m",
"2.16m"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAE4AAACACAAAAACAIwAFAAAPrUlEQVR4nKVae3hU1bX/nXNm5iTjQOQRSfhQrkipEE2VNpWi9QVp8UGh9ZGClGstt1zKbUXa3E9uNff66FfpbfkQ+LA2VrFWpVjjVQRbFQVFJd6rsVaTIpBSwstghsmczJxz9jlr/+4fM3kRbJ1x/ZGZs/Y+v1mvvdbae8cgCiMaAABtUCwJ4smR2nSGwbdzo0ahcKCRR+yJlMC3wwiAwxVmsXAAtAn0JACnZP0HX5PEF2zrnoun53+sQBId... | <image>As shown in the figure, AB is a long ladder leaning on the wall, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is () | 4.4 | 156 | [
"3.85米",
"4.00米",
"4.40米",
"4.50米"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJwAAABqCAAAAABsGGeVAAAJhUlEQVR4nM2ae4xcdRXHP+femX3MbrtI2drFLi2t7UKhpMtaJGu0YIKliNKghEQghppUHpEqrUUTCCoBUfDxhwUFgSCiYhsFqmFbUwImKAHaBSEpLWVbVtjWPpYu+57pvcc/7nNm7szO7M6d7Teb+f1+5/4e3z3n/N4/9OTBbfUX1rL03kDA9HHJwRPWeQLAAbVV1VZVg5MEF/w4M1MB2IAAApwk5Po69nTX2rUAi7e09bjSxDQyAkAF+NuX... | <image>As shown in the figure, the student Xiao Li whose height is 1.6 wants to measure the height of the school's flagpole. When he stands at C, the shadow of the top of his head coincides with the shadow of the top of the flagpole, and AC = 2.0, BC = 8.0, then the height of the flagpole is () | 8.0 | 157 | [
"6.4米",
"7米",
"8米",
"9米"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIgAAABoCAAAAAAPlecMAAAL50lEQVR4nMWbf2xb1RXHj9uOTMzDCBxhCYuIEhZv0SSzgmSoqS0UhkGVMVs080c1uSLEfxSt1tItmYiwprXCjLBlECOL8IcRYTNNJndbBGYrqrcFNV0QLixTxJZijwjVkG7z+irNvJj73R/v9w/bz8VRjxzlvXvPu+/zzr33nHuun20gq/Lgb4mo9wO75Qs6kh3WVX8TLgHf3X2JrLNvD8gW7yWaunOMbFcY5NRNRES3/n07MDoC+f29RES7... | <image>As shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar figures with the similar center at point O. If OA′: A′A = 2.0:1.0, the area of the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of the quadrilateral ABCD is () | 27cm^{2} | 158 | [
"24cm^{2}",
"27cm^{2}",
"36cm^{2}",
"54cm^{2}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIUAAABTCAAAAACU1pvSAAAFYUlEQVR4nMWaX2wUVRSHv7vb2aSmPhjkQSERabElQGy1xJqaUCWmRQRJCIkhGIKSQqTQbQpqIkQfJMGEBqIWHzRRDBpNwQeSQotp8MEaHhZbQwsl7Yaa0CimiSA1pDO7e3yYP93d7rY729nZs+nO3Jl7535zfmfOnXu3SFFtM0CXUFwK2dwlPQwEKKoZ0UYqoWgUAgKX6x+mtbm6qIokpBMYFCmmIqLoHZBT1YPFUwRQ/PFvNbsre4tKAd1N... | <image>As shown in the figure, in triangle ABC, angle C = 90.0, if AC = 4.0, BC = 3.0, then cosB is equal to () | \frac{3}{5} | 159 | [
"\\frac{3}{5}",
"\\frac{3}{4}",
"\\frac{4}{5}",
"\\frac{4}{3}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJAAAABNCAAAAABsjbKVAAAF3UlEQVR4nM1abWwURRh+93rQK1ECRPhBtNFSYhSiRhKg0PSKJUCL9QMxVIJIhIiHASTRqqDSIBDBr9IqSmyKJKVWStoKwXIxAUsCtmmFIkWIgLGXpukHLdz1Pvd25vXH3i4F73Zn9nYpT3KZfWfmnX12nvl4d/YEhHsLdqsaFinYU9DG7cfvwQTat3J8eumpRn5PawhJ7VnZoa4JKx4y4IsWQGrPKEfE/oIBfl9Lekj8cfpqAHDMTeP3tYTQ... | <image>As shown in the figure, in Rttriangle ABC, angle C = 90.0, AC = 4.0, BC = 3.0, then the value of sinB is equal to () | \frac{4}{5} | 160 | [
"\\frac{4}{3}",
"\\frac{3}{4}",
"\\frac{4}{5}",
"\\frac{3}{5}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAACACAAAAAAkSbjWAAAGJElEQVR4nL2bf2gWdRzH35+7E/th4B9mggtp+8cibFCxoEDDPzZQS/EZ29iWgU/lcLJc5hCfbOIER0VGVo4GbaCo9UR/VKspkgunmw32JMESmiF7RkKjCCe5dvd8+uPunt977nt3368feLi7z/d797rPr7vnPs89YGXSAAADOSqoo3HDAA9hgplTrkaDMjGvrUU5AIBclULapXX3Ym/76hydOkf2gTCRq1Jo2+BEqu/RX3NU6mjJv1ejcc35... | <image>As shown in the figure, in Rttriangle ABC, angle C = 90.0, AC = 3.0, BC = 4.0, then the value of cosA is () | \frac{3}{5} | 161 | [
"\\frac{3}{5}",
"\\frac{5}{3}",
"\\frac{4}{5}",
"\\frac{3}{4}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFQAAACDCAAAAAA2O2OKAAAEnklEQVR4nOWavW/dVBjGf+fYFhVJYaGZqFCJKEL8AxGIpmXohLgsiCUSdKC6nXJBXZCQEAyoYu6EQCTqlaAjEnclfEQJC13KlmZAZUBVJEgYaBLbL4N9Y/v449rHpxOPdOPrY+WX9/H72k8sWQlO9QtLoN0yH34AzqE3Ti06h66fDXEN3dm78Pgpx9CjL6/y9GnH0K8/e+L8MW6h9/Zi2TwH4Dtj7lwfw73kuzjSh5zZPlyBqyKiHF9RgPPh... | <image>As shown in the figure, it is known that in Rttriangle ABC, angle C = 90.0, AB = 10.0, AC = 8.0, then the value of tanB is () | \frac{4}{3} | 162 | [
"\\frac{3}{5}",
"\\frac{3}{4}",
"\\frac{4}{5}",
"\\frac{4}{3}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMsAAABzCAAAAAATCan3AAAcBklEQVR4nN18e5wdRZ3vt37V1dXd55w588hMXpMnDwPhDYICvsGLSADfLuvF9aqg9/pcSdTr86q7q6Cuj10v+pFV9upe1/fyEE0CogiCcAGDCOQJJIQkJzOTM9PTp6ur61f7x5kkZyAhQ0g+Jvc3c6b7TNeprm/9nvWrXx/hccgTFz6UpRDwLEEAE6xykosIRne0o7/YCKdImQVFsUQgiSBB3GSCVZCWHgZU2tH0kMeSKDDbIkcTtiQCSWIo... | <image>As shown in the figure, the homothetic figures are composed of a triangle ruler and its center projection under the light. If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the corresponding vertex of the triangular ruler projection is 2.0:5.0, and th... | 20.0 | 163 | [
"8cm",
"20cm",
"3.2cm",
"10cm"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABpCAAAAAAokJP6AAAJ4UlEQVR4nN1abWxbVxl+7bICItqd2I1qNo+sxF08ZYiwtKLdorlj1ohEFaUiUhDLpFRqE6Eg1ahhy49UKVokAkQik5IpUGBGKiMohRTUjxuWto4UpICLHFhKUpoQM7eqS36QypXme+N7Hn7c62tf3w8fm/zi+WPfc95znvOe95z3fLzHA+LDg6XVezGi9bsg8tfTIy/69zXXcJY1wcPDeOfa+7F7LU/VH6ihp+uI6F9JehhfTy34Xw6H9+w8... | <image>As shown in the figure, given the angle of circumference angle BAC = 40.0, then the degree of the central angle angle BOC is () | 80.0 | 164 | [
"40^\\circ",
"60^\\circ",
"80^\\circ",
"100^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGEAAABYCAAAAADAGMYaAAAEiUlEQVR4nNWZT2gcVRzHP2/dRxCKUdiih9qa1ENpG5rShEZa3A32IkXwENB6sA0oJQdphaxUsBCwiGB78BASMZIttdhioaFEImgx2WxoqtVE2moPdlchoMUgRtpDHJOfh/mTnd3Z7szsjOB3Ydj35u37zO/7e+/N7BskHqUB8iIixESQdF7ylERECfFICaXWYgskou9bAKaz0JttAeJyKQcURUQkhhgAYbQoudYSxOISoEq0cJB8fATyvVCi... | <image>As shown in the figure, in Rttriangle ABC, angle C = 90.0, AC = 4.0, AB = 5.0, then the value of cosA is () | \frac{4}{5} | 165 | [
"\\frac{3}{5}",
"\\frac{4}{5}",
"\\frac{3}{4}",
"\\frac{4}{3}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIoAAABjCAAAAABhp8fyAAAF1klEQVR4nMWbf2iUdRzH3997vgjGoILERkJzTjeb5SxjRyO2keVWSxL/UDAIyrzT/bAxh0UZQggFShndalSIkJCpMILpDhONMX/U8DaYeWMbTdpIZYTLkY59n33643mee263u9vdc8/z/X7+2HPfZ/fs+9r7/fl873ufew6kNDYBwEnjMdSi0KafqAsRIiLyQWnMjNSiGAwAoAyFAAIuVOSheedac6wwZikEmPaoNYgYwhEKreszhipRGG7+... | <image>As shown in the figure, in triangle ABC, angle C = Rtangle , AB = 5.0, AC = 4.0, then the value of sinA is () | \frac{3}{5} | 166 | [
"\\frac{3}{4}",
"\\frac{4}{5}",
"\\frac{3}{5}",
"\\frac{5}{3}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIoAAABOCAAAAADaldEaAAAE9ElEQVR4nM2aXUwcVRTH//fOsH2o0ZiUELUWP9qwTWtEA0kNGrbR2DUQUAnPSgy8lKQmxVSb1hCrArIEmrBKm7UEFx4UmtQYZBuLlkRia5pCS/pg68alWbQ1PpRCoszuzPFhZpbZj2l32ZnZ/SeTu/dyZ+6Pc885s2dmGaE4dLaMFxpBU+wAigSFjm7bXiQoXzz7Z5FYJbLyQukDxYHiO4QdxWGVz/3sSVYUKJEVotBTEAuwNLFkknemgTAA... | <image>In Rttriangle ABC, angle C = 90.0, AB = 2.0, BC = 1.0, then the value of sinB is () | \frac{\sqrt{3}}{2} | 167 | [
"\\frac{1}{2}",
"\\frac{\\sqrt{2}}{2}",
"\\frac{\\sqrt{3}}{2}",
"2"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJEAAABiCAAAAAB1tW5IAAAGEUlEQVR4nM2ba2wUVRiGnzO7nYpyiclCSWig2JaLLLGEElAolCjXBqOBBhJKiOGqYLgoIgGSBiSlEoUYUKAYJaBYgYCCNgRJIRRbYwlEi1zaSkF+gNYgSMTOdvf4Y3Z2p7htt+10z77J9EzPTGaffN8735yzZxYp5acw8feVMk6kUT3onJTbszzEibR/Xhm7G9JzUwGpmgZAO1i/CSC9L0gRD1BidM7bQjVEE2n1qfEFhBYHeWoqzfMrSKq/... | <image>As shown in the figure, in Rttriangle ABC, it is known that angle A = 90.0, AC = 3.0, AB = 4.0, then sinB is equal to () | \frac{3}{5} | 168 | [
"\\frac{3}{4}",
"\\frac{3}{5}",
"\\frac{4}{5}",
"\\frac{5}{4}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAEsAAACFCAAAAAA2x1ryAAAFVklEQVR4nK3abYhUVRjA8f+584YVrEW0aaK2GhgWbmHoB2spowIXXfBDhMImJJgoTTCrKzvabjubY7vWmtYGBWYY1AfJQLMoLUGzwg9LC7tBCFm+pBW6ReXeOzNPH+bOOOPOy733nAOzZ+7e3d+c58xz7r3zzFUCgKhRdS+azcp3yn5JVypa7Lt1mr6Vj/HIjH+0KXdcF8YXTI0hupYCMp+sUDOmoEyM64v1N02/pgm51sVxkZEmI9bFvhXw... | <image>In Rttriangle ACB, angle C = 90.0, BC = 5.0, AC = 12.0, then sinA = () | \frac{5}{13} | 169 | [
"\\frac{5}{12}",
"\\frac{12}{5}",
"\\frac{5}{13}",
"\\frac{12}{13}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHoAAABrCAAAAACduMkGAAAGNklEQVR4nO1aXWwUVRT+zuxsupColBAKCcJWgy00aVgSwpqQ2Co2EJMWnqwP/KmhxBfA+IwSYyKQABqTUl9YeJFo2hJjf0RiqxiBmHS3aiwY2dIidk2sjZp0tzs/x4eZ3e7fzM7s3CUm8iXt3Dt3Zr77nXvuPWdnLjEswIShnYtly4sqhmTZQojtTmTKJTpo2Wfv1MDxhRMZghLclP1XIUrpMRELoebuKpt7vVgbtqqPgxZO2N3rjdlGdSwE... | <image>As shown in the figure, in the rectangular coordinate system, P is the point in the first quadrant, and its coordinates are (4.0,m), and the cosine value of the angle α between OP and the positive semi-axis of the x-axis is frac {3.0}{5.0}, then the value of tanangle α is () | \frac{4}{3} | 170 | [
"\\frac{4}{5}",
"\\frac{5}{4}",
"\\frac{3}{4}",
"\\frac{4}{3}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAABRCAAAAAABPlyWAAAD0UlEQVR4nLWZsY8bRRSHvxl7VxQpOTkVUoKECwqS6ChQkDjdUSQUJwT3DyAhFyAhoQjRIFnIjRMaGl8KCkyHOLpccYkQEF1osSMqiuhcIaSk4rrZvXkU3l3bd2t7Z3f2Sb6ZHVvz3fzmvdmf10pI4lHrDUAU/kOnnegzBVAHYwb56pWrdcy/ALl/7Z/aGClk8t9bG5cAWfnh8hAB+OZLXoOatgQtCmF/X12pZfoEokBNTkWOrtYlFjSByUe/... | <image>As shown in the figure, it is known that in Rttriangle ABC, angle C = 90.0, AC = 6.0, BC = 8.0, then the value of tanA is () | \frac{4}{3} | 171 | [
"\\frac{3}{5}",
"\\frac{4}{5}",
"\\frac{3}{4}",
"\\frac{4}{3}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKkAAABQCAAAAABHIwoiAAAGPUlEQVR4nM1aXWgcVRT+Zmv0JZiXKax0NdpE0yDClhay0EpaW0i0tUZ8SIX6IMZspA8J2JKAEStGmkIK8SE1sYqgBSMttGILm1KkYgKVFjfVSCpNbSAtBgIlmha2d3bv58PsT3azMzt/O8kHu3Pv3L9vzrnnzD13Lrjm0QIAp4l0NhZfTTLm2HeGMcQDAABonQqItQntVhPqgDTT3uoaKKtLyBA/batEZ3tYZ3oifBfA2pMqAeDWF0rg4xE8... | <image>As shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to () | \frac{4}{5} | 172 | [
"\\frac{3}{5}",
"\\frac{4}{5}",
"\\frac{3}{4}",
"\\frac{4}{3}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH4AAABQCAAAAAD67p4SAAADCUlEQVR4nMXav08TYRzH8c8dVSIuTQxGHaSBASZCjNHBSRR1cCiDiRPiyj/gCB38EUviJCbGBB2EwQEcxYVBFxKCzkZLjT8wMjgY0pp+n49De3dtoT/u7nmeexLSp0fD633cc+lwj0MkOdxE9YAvP0uCT3mTB0eT4L2zX1obSpAv7l5JQq/x5TvThYHk+PnHfUnggEMAG+eB4ffHEuBdAMUX5PbQkQR0uEBxJg/8+ofSasm+T6J/k3PA8Gtc... | <image>As shown in the figure, in Rttriangle ABC, angle C = 90.0, AC = 1.0, BC = 2.0, then the value of cosB is () | \frac{2\sqrt{5}}{5} | 173 | [
"\\frac{\\sqrt{5}}{5}",
"\\frac{2\\sqrt{5}}{5}",
"\\frac{1}{2}",
"2"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAI4AAACaCAAAAABa0S9ZAAAIqUlEQVR4nO2cf4xVRxXHPzP7svCH9kUBQVxDt8Gktf7RtKImhn0m6l+QKIkmNa2BNUBUfghmF0gFg2mimP6DDWiNJOwjVNvE2AZLav+S3aUaoYSELFZrukstagULu6Ymy/LeHP+Ye9+7C/vm3rl3LtVkv5vse3PvzNzvPefMzJkzMw9xwNQYMsLrIiLSFOPK66wnc84KDsip+kXFkAJAo1x5XcheULtv3vMHgV7LLS8Zn4Id6dhKPoSauMde... | <image>As shown in the figure, in the plane rectangular coordinate system, the coordinates of point A are (2.0,3.0), then the value of tanα is () | \frac{3}{2} | 174 | [
"\\frac{2}{3}",
"\\frac{3}{2}",
"\\frac{2\\sqrt{13}}{13}",
"\\frac{3\\sqrt{13}}{13}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIQAAABUCAAAAABmEcBUAAAEwUlEQVR4nM2aS2gbRxjH/6MUTyCG1NQhLg3YsdUoLaFR8SEKPTgtlCiXJKU9+tJC7dBDjAlE1k095UHbRIeEgA19EGjdhDr00PoBjXOqbop6aKxiUQmTgltRmjgFrR/79TCrfUir1WN3dvtH0uzMjnZ+mvm++WZHC/wPxEBBIwChQFs/wxhjdwFQgFJPf0s/IhtsT2wXTuFw0MPx0xvdmBiLBjscNwDkiILtiaUc3Tj6MNjhKP7zGj6MLAYL... | <image>As shown in the figure, it is known that in Rttriangle ABC, angle C = 90.0, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is () | 2.0 | 175 | [
"2",
"8",
"2\\sqrt{5}",
"4\\sqrt{5}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKYAAABZCAAAAACRJwBnAAAGAklEQVR4nMWaXWhTZxjH/yca3UXBXbT0ODO7WVk6emHEi32ILDDFwKT2ogNlZUzQtlCQ7gs7EISxC2EOvFDnyEAHDiIt1Isw065iZBE7KsSxMhlrMUMnSmW0NoP0pDn/XeScpElPTs7Hm+RP2rwn78nz/vK8H8+T941E1EgTrTsAUBJizCPEioGyxyUAEENZO8yTW7cJtFYrzG8Dj0WaqxFm6vlbLU0ARI188ZgEgK9P4DVA2NAUj0kJxIUL... | <image>As shown in the figure, in ABC, AB = AC = 4.0, BC = 6.0, then cosB = () | \frac{3}{4} | 176 | [
"\\frac{3}{4}",
"\\frac{4}{3}",
"\\frac{3}{5}",
"\\frac{4}{5}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHcAAAC6CAAAAACxJI08AAAF8UlEQVR4nMVcTWhcVRT+7ryAk64CJTAuSgdFGnEzFRfJRqbawhRcpCsrkvQHRe2mCIXiSroQlQrNRmqhkkJplS7a7DI760LSFsIEQSz4w2ShzmKEgLSdkPc4LmYmeTPzfu7POXcuSeaP4ct3cnLne/d85yjCWFZhPLB7uNvXx4Ibvr81Ftw7N18cB+7m3wteYXu42xfPNg+OAferr/974hcXRES3ABxqk89VALDZJnp4YNIr3QKwee494HcA... | <image>As shown in the figure, in Rttriangle ABC, angle C = 90.0, AC = 4.0, AB = 5.0, then the value of sinB is () | \frac{4}{5} | 177 | [
"\\frac{2}{3}",
"\\frac{3}{5}",
"\\frac{3}{4}",
"\\frac{4}{5}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGMAAABkCAAAAAC3VdHxAAAKZklEQVR4nLVafWwUxxV/a2gtG1UtR6h6+JpriHOGfhwtzbqRamxQOEMFqE6FaaBx1ZCjVapYVc1RNVFx+pFTqqZOpTRYRKnIpzhUlThKabwXjPBBqXKHVFEHAmUPkLgLpS17RinsrRO0v/4x+zH7ebgVT4K5nXmzb+b3m/dm5q0JPqL7Vd5U+43HiTrKLh3iFBRxIcSMTFImCnEHV+6IQszINJ6Jjt++PEmmLBE2rr/N7rFdtl+WiULMyIKU... | <image>As shown in the figure, the four small squares with edge length of 1.0 form a large square. A, B, and O are the vertices of the small squares, the radius of circle O is 1.0, and P is the point on circle O, and the small square is located at the upper right. , then sinangle APB is equal to () | \frac{\sqrt{2}}{2} | 178 | [
"\\frac{\\sqrt{3}}{2}",
"\\frac{\\sqrt{2}}{2}",
"\\frac{1}{2}",
"1"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAEwAAABtCAAAAAAuDNhkAAAElklEQVR4nK3aX2wURRzA8e9cYUoaYhNT0ihoCZJAosE/EW3SByJgwKgRQiIPlKCxIuiZXmMxKEXOeMRqi7S2hQqY1MSa9KGAiQZ5MOrDJaKSKNKEhxraqNX+ebDRUjvF/nzYO7rH7d3t7c7k0tmbbD/3m5nfNDO3ZU4kDrB+SkIXRER6n5fpmt3hsQgwe+4xFj0qhC8iMrRmQnqXXLQTWfJShfp97P7wgUVg9txpGepuUeExRIbWjIvEV41b... | <image>As shown in the figure, the hypotenuse of Rttriangle ABC AB = 10.0, cosA = frac {3.0}{5.0}, then the length of BC is () | 8.0 | 179 | [
"5cm",
"6cm",
"3cm",
"8cm"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKsAAABjCAAAAADBOK8cAAAKRElEQVR4nM2be1AURx7Hvz27iEHy0HMjIuADEcS3nkrUi9FoNFEjeNZZlzNeJGpFPZOoMZpKYsTcWael5nG+o3WXE6JV3GGsqICJ8c5HCvFQRIkxooIPNK6vRMCV2Znf/TGzMLs7r92dFT9VC92/7p7+Tveve7t7ZxhBH9fW6QAxg1weTGcMBs4gnZ9+B4BpBeGUaqg1N7uz+YsZ9VGIaGqV6q26MtnkhbIY4zjGRtY1FrYau1YCAwDXgg3p... | <image>As shown in the figure, in the quadrilateral ABCD, E and F are the midpoints of AB and AD respectively. If EF = 2.0, BC = 5.0, CD = 3.0, then tanC is equal to () | \frac{4}{3} | 180 | [
"\\frac{3}{4}",
"\\frac{4}{3}",
"\\frac{3}{5}",
"\\frac{4}{5}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHUAAABQCAAAAAACDmXlAAAGcElEQVR4nL2aX4jc1RXHP+f+FhaDtH3IgJVg2mRjFlZKS1wykqYRd01SsxNFVmpK1YgxhKYiJo4KqVppwJqRBo0PrkZUMGTXJcbUpA+dWaG0uxC3DyKBWJ3dPkQfTKEQWUkW997Th/v7zc4kOzu/+9usZ2B+9965937vPed7zu/+GTSDDEBBi1laxmIIlgmpqh6UjvCWsxI6TOsoqqoWy9apqv1u5mpe5wBAxwojQAZdAaLBLQZ2+oRK8hUs... | <image>In Rttriangle ABC, angle ACB = 90.0, CD perpendicular AB at point D, if AC = 3.0, BC = 4.0, then tanα is equal to () | \frac{3}{4} | 181 | [
"\\frac{4}{5}",
"\\frac{3}{5}",
"\\frac{3}{4}",
"\\frac{4}{3}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIkAAABECAAAAACQOUl/AAAEt0lEQVR4nM2af0hVZxjHP+8tXv8RZFvDRTa9aZhjA41tJY28QZCyrTVwW0NCBfW2JmgYSDCWfwRTHIvG3Pohq7C2NhsF0TS2lkKtBi79w81CLxq6zUaMovqj1+W7P47n3nP1atd77/Hdl8t93vNwOc/nPM9z3nPOey7a1mZAtGtjIjTc3K476TVG4sHWRKCQbMwpRPLTumRqqnLNoQSz0wIGa+Oszg+9ky15fcYyEqrOyJ1cUZF9/n9A8n0h... | <image>As shown in the figure, in Rttriangle ABC, angle C = 90.0, sinA = frac {1.0}{3.0}, then the value of cosB is () | \frac{1}{3} | 182 | [
"\\frac{1}{3}",
"\\frac{2}{3}",
"\\frac{\\sqrt{2}}{3}",
"\\frac{2\\sqrt{2}}{3}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFUAAAB7CAAAAAAgOJPAAAAHWElEQVR4nK2afYxcVRXAf/fuzGtLFms23bQp/QjVuBXQLhi3ksayQRApsTZBTP2Hami36ZcbXAStsN2lFGZdut227kprDIkhii7RYMBsXV1jIkbDx1I/ShGXXYGUYkspTK3dO5l7/OPNzL7dmXmfc/6Y9+a9e3/3vHPOPe/OuaMEAI4tXKVAFDUR7R5y7SigRtAi9f5lH60RsEQVBptP1RKKBtRk9vrG+ppSBXj0Pj4GXLAeiclzna8VDA6o... | <image>We know that if the sum of two acute angles is equal to a right angle, then these two angles are complementary to each other, referred to as complementary to each other. As shown in the figure, angle A and angle B are complementary, and there are: sinA = frac angle A's opposite hypotenuse = frac ac, \cosB = fr... | \frac{4}{5} | 183 | [
"\\frac{9}{25}",
"\\frac{4}{5}",
"\\frac{3}{5}",
"\\frac{16}{25}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHQAAAB2CAAAAAA8OejwAAALEElEQVR4nNVbXWxcxRX+1nGaB4xWra6VRWzlNF7jpdsiF6cqCIsNwQhXilIjTF1UQ1zF2Kocia1ikJEsDKofXNW0qUjookiVVfkhgF1TRMEoBpYGJLdO2VTdyE5xsINDvZaD6nTzsLm7O18f7t2fu/d/7SL1k7y6d+7MfOfMzJk5M3MMVgxxCABqU+5LVqFieP54KE4+vvc6ANBNyS2QIiM3AWN3DwCA58sifa8OABouulNzi6Rn7geAvS7V... | <image>As shown in the figure, it is known that AB and AD are the chords of circle O, angle BOD = 50.0, then the degree of angle BAD is () | 25.0 | 184 | [
"50^\\circ",
"40^\\circ",
"25^\\circ",
"35^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJcAAACWCAAAAAD2qEUAAAAK8ElEQVR4nM1cfWwcRxV/6yQEhUip1IOc26MXEou6taCmkYhBFVfRIB2yozhqhe0QEUdKcaWoahq+nFIlSFTYEUVEJYBLQD1LpD6HIFuJ2zjgoCRErZtIJBCnFwm3WJwLLkbgck65uY/58cfu3u3eze7OftyJn2Tt7sybd799M/vm7cxbK6A64tJHmiUlG2rKowKFJ6VF68rre9F7ZEXryWv4gQVp2Tryml/efOcaWeE68nphH8mO+nryGv6+... | <image>As shown in the figure, in triangle ABC, the bisectors of the exterior angles of angle ABC and angle ACB intersects at point O, and angle BOC = 40.0, then angle A = () | 100.0 | 185 | [
"10^\\circ",
"70^\\circ",
"100^\\circ",
"160^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAAB2CAAAAADaECO0AAALzUlEQVR4nL1bbWxb1Rl+jtNQRFP5B+5qqDu31CwuBRGUMmUjWlqaikhAGmi2IhQ0o3XNpDAaIFr9o1KG1mmeWDc6UQjqoAEBC6OQAhNNR0dTbUipgupOSpeWOtRdUhFwxwIuIvW9uc9+3Gv7Xt9z7XujjUeKdc/nc95zzns+3vcEdMBeYF1uuyVKM/70H+PXM3yQIi3+QT5/xbWWSGH8URSC84G0HbnabRrJntcc2jlP8crIuO+z3QLAyohD... | <image>As shown in the figure, it is known that CD is the diameter of circle O, and the chord DE passing through the point D is parallel to the radius OA. If the angle D = 50.0, the degree of the angle C is () | 25.0 | 186 | [
"50^\\circ",
"25^\\circ",
"30^\\circ",
"40^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH4AAACBCAAAAAAjjFGYAAAMOUlEQVR4nMVbf1Ac1R3/bKBi6mUujiCXevFigpNzyOhZTEMaUpIxachII45MMWNmepmmRcsfpQ1aZkwlY+lIZ1BxihVMp0lnqMaRKZk2jnREhUgaHDJCKpEoZEI8bA7RkQjGC7e8T//Y27vd27292wPSzwzH/nj7/bzve9/9vu++930SkQIoxX6jOPvF28FzwMQ5AN5cYN2KolxvKtI0kFKij8dEV/eps55VG10+INdLCWc/B04H+8+P+zZs... | <image>As shown in the figure, point B is on circle O, chord AC parallel OB, angle BOC = 50.0, then angle OAB = () | 25.0 | 187 | [
"25^\\circ",
"50^\\circ",
"60^\\circ",
"30^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFwAAABZCAAAAACWSRw3AAAIaUlEQVR4nM1Zb2xbVxX/Pdul6VQWJuTG1RhuJiAek+hrEMLdRF9Xoc2ZUJqNQRgbqzUhpRFCeHQIr6AgIa0uo/gTIuvUYUDZHwnhsalkXYVqU4hc8aHup7pVhltp2pwg4YgU5YX34vvjw32233t+z3ayL/ykSL7n3Pt75557z7n3niiEG1QczUs3K/gLAMSGPrZv7x0d3btA6SRv0+vF88Ur8egIHgCAa7XVK+UdCS0R6Zudvpif3J7Ill3C... | <image>As shown in the figure, points A, B, and C are three points on circle O, if angle A = 40.0, then the degree of angle BOC is () | 80.0 | 188 | [
"100^\\circ",
"80^\\circ",
"60^\\circ",
"40^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIMAAABwCAAAAAAY8JwNAAALIUlEQVR4nM1be1RUdR7//u7M8PCR1K6VpZEEsoqPXDEVgSkRNAQ1KtzYWmtbt3Kzp3Vqs3b3aJYVmy1ZluCuS7YHtVxEW0kxZTAorAk0lxAClUcWgwoMzMy9v993/5gZmDtzZ+69M9etzzlzzvwe9/4+9/v6vQnCjw7uxyYAPw0O+pCe9lAk+f9zQAREerzHnb58MiEESFBMguGAiLS1tuGL705Ovcyd130ybkzy9TPjCFHPg6j2C0a/NZmO... | <image>In circle O, AB is the diameter, CD is the chord, angle ABD = 28.0, then the degree of angle C is () | 62.0 | 189 | [
"28^\\circ",
"56^\\circ",
"62^\\circ",
"72^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIMAAAB4CAAAAAD0ox5gAAANUElEQVR4nO1bf2wb5Rl+70oJdOm8Cad1i1lQ6yrpjMBNYaQ0kNKF4UKg6RZmlgXRinRGFGmdFkYkQquJMqoStKBVIyhItUQKQU1TNkJxtEykUCDt0oVJgRSSUrcBmiZIdedCnPPd9+yP72zf2Xe2z2n71x419X3ffT+ee9/3e7/fAsgMTCQI2hDHvyaPnj5J9NUYEZUuJFq2+LaFHiICSBC0CfXZzCAQCeYc0nH80LsDp35cVLm4RKAFy4no... | <image>As shown in the figure, points A, B, and C are three points on circle O, if angle BOC = 80.0, then the degree of angle A is () | 40.0 | 190 | [
"40^\\circ",
"60^\\circ",
"80^\\circ",
"100^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAABvCAAAAADk9ZBpAAAK00lEQVR4nLVba2wc1Rk9s+PiBhaWxwJL2WRJ7AinRqrBoRgwdaIsJW2j4jROQ1NXcShVDPlRI0WJK6IaEDRRiYSRLDBNkRygJdQGpwKCUZ3EgaQYTEsqvwI4xeDU3mAjnKxDbGdmTn/Mzuy81juzuxxpNXO/+zj3fvfOd1/fgrnCfmDD5FPe8viQG4zd2k3uWBnwlitH7LO1P3wEuGbDAm/Z8nLDfuBkCwAsDHnLJjBLXgoAZtf+bEMmmXOj... | <image>As shown in the figure, AB is the diameter of circle O, CD is the chord of circle O, angle CDB = 40.0, then the degree of angle CBA is () | 50.0 | 191 | [
"60^\\circ",
"50^\\circ",
"40^\\circ",
"30^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAACVCAAAAAB3Uiv+AAAMUUlEQVR4nO1ba3BV1RX+9r0EBFOdoZMOaCoVlUeRVyDCxNCrEhJArJQCMTBgRRHxBTo+WlGpSlHRMpSHHUURKiJgUYsK8lZRQRCoUBOxgWIDImBCMOQ+zj17f/1xzn3mnHPPuRFmnOmaSe5+rf3ttfZa+30EcRbJdzbB/o9mR2OFEGKtFw42hyrWqA9Q5b58s2TT9wfQ0Wy0K4ZmoX1yVRvxwL1dAEK448hai4pcDKBKeeDJXjYBrK/k4q77... | <image>As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = () | 165.0 | 192 | [
"90^\\circ",
"110^\\circ",
"120^\\circ",
"165^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHQAAABpCAAAAADOuVi+AAAIzklEQVR4nO1afWxT1xX/PSdWXseIAsGtaaAlZiMhHhYBJqyGasEwFJaKeUCzOaUVg1XVIkBt6EBLWdlCx8YGLWrCpIm0gikFKqWBbQ5I0IYypRvq8rGmTmBSSLIskCY4GV/Je/mwz/54duzn93XtZGx/7ESK3zn33Pt7595zz7v33MsRHj6Z/guY/wcFAASKOY7juKHgwwTFie3XiPZnDz1MUBMCT2J0z9pXpttUXUuvTaQEk5OzewMPETRQ... | <image>As shown in the figure, AB is the diameter of circle O, angle D = 33.0, then the degree of angle AOC is () | 114.0 | 193 | [
"99^\\circ",
"108^\\circ",
"114^\\circ",
"127^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAAB2CAAAAADe5fOJAAALTElEQVR4nNVbf2yU5R3/PH3L2OKRo/Fqz3jYAAc9B4tl1E0n2ZUMB4kM6oZjW0osGT/MiKMMNktGdhBx1oiKC2XdlFini400aaNsaxXlGjXBleXqLGuROylrkSIYWq6aFt67z/54f9x7d+97975XNNkn4fr8ep/P8/0+3+f7/EQQzkHRVVZZwHcqigr5SFzbWjhjIZwEsOtW/5fKKYCDlR9PgbIg3Q7G7yp1fcmcTzyM+VOgLITz4EExeyqU... | <image>As shown in the figure, in circle O, OA perpendicular BC, angle AOB = 48.0, D is a point on circle O, then the degree of angle ADC is () | 24.0 | 194 | [
"24^\\circ",
"42^\\circ",
"48^\\circ",
"12^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAABkCAAAAACpnOFCAAAJ3ElEQVR4nLVaf2gb1x3/nJIRLXWrjqhEbRUUaoWqODCnzqi3aXOyqK1G7JFSMw/iUcMSvNUbc8AqLnh4Yx5z00BD50FUE+qxjAbqzWlrqIecRMk8cOeAU+LUCTlnSZSQ21SYEnno2ir32R93Ot2dTtLJ8T4G6973/fi87/vxfe993xMIZ7hz/tLtJLB0i4C/Hl/6pn9LU53DvDoEJ2w3TyWSt8Ob6r9Wh80BgDeuYXluKTXj3xmJbFxdtktH... | <image>As shown in the figure, the three points A, B, and C are on circle O, angle ABO = 50.0, then angle ACB = () | 40.0 | 195 | [
"50^\\circ",
"40^\\circ",
"30^\\circ",
"25^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABxCAAAAADtpeKjAAAKlklEQVR4nM1af2ybxRl+PrdZRuvxMXCpN8xcFgMuQV0gBboRKe0IWqYWLYiw0BFpmSiKtmhalmVbmCoMUpE6DYmg5Y+iCtWVMpGNjDINSjoS6rAIZUq1VJDOieKoGU5XV9kkV0k3z5/7Pfvj/Nnfj/OPOPljj6L4u/d+PHfv3b13994pRHm4en72cgRYuETAV4Oqh3131rvLzAtAKYdn6YP3I5cbbq95wI0dfgB/X8Tq1EJ8wrevqWn7RvHM... | <image>As shown in the figure, AC is the diameter of circle O, if angle OBC = 40.0, then the degree of angle AOB is () | 80.0 | 196 | [
"40^\\circ",
"50^\\circ",
"80^\\circ",
"100^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGwAAABtCAAAAABhUdu0AAAMXUlEQVR4nN1abWxb1Rl+roubbZgFDVe5VVwCxF3MgoSrFK0bncJHNrIRShjZwkQRmQTNtDDVU8MWRFAqrdOCiEQQLcvWSRQpiLJmpBNfLhRItyIFBZZOhLmMQAxOVzN3Il2CcK7Nffbj3Ht9P47tOGN/9rSRzz3nPec573ve+97zpRBUIGAlZDh74uTpCeDdUwRC9fBfGdrYFCghL2tPscge6cFVL9w9LKs1//KLE6e3bqi/IoCL6gC8n8TS... | <image>As shown in the figure, in circle A, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is () | 5.0 | 197 | [
"10",
"6",
"5",
"8"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALsAAABzCAAAAADlQCxvAAAevElEQVR4nO1cfVzN5/t/Cx1CJyOZ5URUnspq4oxKVIfpMA5GGUcejpZvDMl3Cj2NrPZV7Wv4MsxWnlaKMg9lU9nSEzq0VaIndCrWiewc0v374/N4TrFs++5rr9fvfu3h/tz3dV/3+1yf67ru677u+1Mngr9tMfhfA/gD5f+x/2/Kq4c9qbCjlK8advWKtCEdpX3FsGfMnPKvjI4Sd/lvInnZog2/dcQMozpK/irJPX+GeYIZcEHdQfpOr87a... | <image>Place the protractor on a broken piece of glass as shown in the figure, so that point A is on a semicircle, and the readings of points B and C are 105.0 and 155.0 respectively, then the size of angle BAC is () | 25.0 | 198 | [
"55^\\circ",
"50^\\circ",
"27.5^\\circ",
"25^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGYAAAByCAAAAACE8/szAAALz0lEQVR4nM1abXBU1Rl+7m4gIQQsYCZBKQulAwypZpNKWR0k0SqJtIRQnabakdLOSFqdMQHrIFPFGfwBtrKldtIgnTY4bQ2VmnSqWDo6DfLRoLZcbJFYwBAFXAgSFAoX9uaepz/O/d57l106zvRNZvaez+f9Ou97zrkXzJGE/DFI8sL6XEdZFEGOpECAQAQAnvg011EW5QwDEYEiH577ywzws4KJwJz7/dN1NBE/AxiCCkFoDz/YP4UiP5iC... | <image>As shown in the figure, points A and B are three points on circle O and AB = AC. Connect BO and CO, if angle ABC = 65.0, then the degree of angle BOC is () | 100.0 | 199 | [
"50^\\circ",
"65^\\circ",
"100^\\circ",
"130^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHAAAAB3CAAAAAD+jpsvAAAJfklEQVR4nO1af2wT1x3/3OUQHU0xaG4Jq2k6YlRDCg1LtjKRNU3JVHegjYqoKRC6ILWKNNiUpkxKt4iMCVVIZSpDkZYq2whaC+kWlkpDKZ2gJHTTwkLFqBIcRBhpHYZbR1qYHZHNF3/2x52dO9/Z90wc/upHlu783vd9P+/7ft57369EOIASAODD+31OkkKQHSU0PnW3xn4XCDW8VvjQDPtdIDz62I1ZU2VDOBYtfWDB3SQ8vAurcsMnRMij... | <image>As shown in the figure, given that the degree of the central angle angle AOB is 110.0, then the angle of circumference angle ACB is equal to () | 125.0 | 200 | [
"110^\\circ",
"70^\\circ",
"55^\\circ",
"125^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAI0AAABLCAAAAABohFvQAAAFvUlEQVR4nM1aXWgcVRg9M5kapZHYZtossnUbWmgklq4htXmo6WsVCgVLqyJUBC20iig+WAhpK0WKRCjah76ZhxQKlvahin2oVkgeNrF0U1vZCquNDUiIQbdNSoNz5x4fZnZ3dmd29m52Nuth2bl35tz5znzf/e7P7GpEDZB6+ZmJJdz5E+jqAhDfBFBTaFQRWk1qqOWt2ePj12dTQLId3Z3Q/rgL4O691v7tW7bucJgFHQ1T49x66vrE9amB... | <image>As shown in the figure, the cross section of a tunnel is a semicircle with a radius of 3.4, and a truck with a width of 3.2 can pass through the tunnel. | 3.0 | 201 | [
"3m",
"3.4m",
"4m",
"2.8m"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAAB7CAAAAABie+BXAAAK+ElEQVR4nL1bf1AU1x3/vIPIZjx/pD0CxlPQ4+dAI1YcayEFEg3OiL8KBjPqoBMVIk7FiKM2OpKq1ak4agoG48/WOAMFq7Ym4aKVo+qoBUU7ECBCRSXxLNhoOCeLIK9/7O3e7t7e3d7e4WeG27dv33uf9/2+7/v9hVB4DUrsAXNIgve5AZ2GPDxl32otjNo4eWwaG/FiOKnw+0nCd5ooveck/G/HD1OD9S+GU8Cu9YjSllMLJwWA/fvJOG2U... | <image>As shown in the figure, AB and CD are the two diameters of circle O, the chord DE parallel AB, if the arc DE is the arc of 40.0, then angle BOC = () | 110.0 | 202 | [
"110^\\circ",
"80^\\circ",
"40^\\circ",
"70^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG4AAAB6CAAAAAB7dzmqAAAKHklEQVR4nL1af2wT1x3/vAtyppFgNNzl0DwFGle4C2hhBI0O1gQJihkxDRpT2BrUTgqkFX/QSTHjD9pkUjXS0gpadWpSqBpGqnoqLKxJNLOE1axGykQg2RqaVLW7MPJHkEPrEKPFbrjv/rg7+86+O985Sb9RfPfefd/7fL/f932/vu8xgkkiBkxEhqc+Bqb/RUCFHah2rHN/l5mtAQAzDXel70qIX7Nx1VoRCdPDjIbHb3w6tcWz9ScLAEdp... | <image>As shown in the figure, in circle O, if point C is the midpoint of arc AB, angle A = 50.0, then angle BOC = () | 40.0 | 203 | [
"40^\\circ",
"45^\\circ",
"50^\\circ",
"60^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIYAAABwCAAAAAD+2VdJAAAHI0lEQVR4nM2bW2gUZxTH/99kFx9qzUMjrjRW4wWK8cHWS9N6maBCaVFQ+tA+VHSLhZQo9cEVS4W20AerfRC6grbSrL1AoQuFWlGphXSTgDbSSqsomOzGGsRSHwymJe7Mzr8PM7M7uzszm935Zu0flpn5ksz323POnPNdJmDjUgEBqAHuUJSCxtWvZg1mVge4Q1GNYxBAB06t65SBIdgohcBAdsephetkUDRuDQFkd4qd7VIoAjgF6Msa6zvM... | <image>If AB parallel CD, angle C = 60.0, then angle A + angle E is equal to () | 60.0 | 204 | [
"20^\\circ",
"30^\\circ",
"40^\\circ",
"60^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHcAAACMCAAAAABjB2mMAAAOIUlEQVR4nMVbf2wbVx3/vNBdPNaps1Bbl2mx3W31BRB1JmDXSqvTaSwOoCXhR9MMbXMBLVRCLAOkpUis7SZhQNBOCJG2SKQabEkr0bST1rRDWpKONB4g7IKY7anUdhlKWljc8svmMvzlj3d3vjvfne+SAl9Fyt33vXuf977v+973+33va0bwTMQwy7Z6/05PLcv4hqH65ZWhLg8X+Abu+n/gHrlTWCHssnAvXn3gpnf/73GXDgwhuPp/jzs6... | <image>Known: As shown in the figure, in circle O, OA perpendicular BC, angle AOB = 70.0, then the degree of angle ADC is () | 35.0 | 205 | [
"30^\\circ",
"35^\\circ",
"45^\\circ",
"70^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJgAAACRCAAAAAAapi41AAAPzElEQVR4nMVcf2wb133/0unqonWgDTnF5/lWOpUcsWG2cFWDMLM8yhhnq5sasJhXBpjaaog9ZfOGKpuKCpgSZo1bKKu2qoOGKVPQ0Y2AyrA2BauKsqsA07Fcy1VddoVspg6d0mO2MqaDMqYBUfb5ffbH8e7e3T3+OOpHPv/w7sv343Pvfe+97/d77z3C5mOtj4hoBgBrPBNtGh0Oa30nsdh63lWebbQFYPkDdP/97vJsCbGLD7Te/tK+oLtM... | <image>As shown in the figure, CD is the chord of circle O, O is the center of the circle, fold the minor arc of circle O in half along CD, A is a point on the minor arc after folding in half, angle CAD = 110.0, then the degree of angle B is () | 70.0 | 206 | [
"110^\\circ",
"70^\\circ",
"60^\\circ",
"55^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHgAAABkCAAAAABoG6vuAAAJCElEQVR4nLVabWwUxxl+1gtColYvlCNcq6PXiCMcuZS6mIRWWHIhruoWSyGKGxfVSKYiQsKNdHKMShq3jiq3RS1VkeJKlqxIR0VU1DoyFYiPym3PlEooRiIKB2cS0xDWbS4xlSA+2qPe3ac/9j72+2YP55Hhdj52n5l33pn3nXdGIgLj7lvT/5oEbswCiK7F0q3Rdc2N1WJKIh+RAhIrf5nI5LeuWftEoxSLAXj/JgpTN5QL0W1tbQ9LNk5K... | <image>As shown in the figure, AB is the diameter of circle O, point C is a point on circle O, angle C = 20.0, then the degree of angle BOC is () | 40.0 | 207 | [
"20^\\circ",
"30^\\circ",
"40^\\circ",
"60^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAF0AAABiCAAAAAAXNoBnAAAHm0lEQVR4nNWaX2hb1x3Hv7cpi9d4VbcIrBBlileNKlOzOihj3upUWWvW0LklHR4uzA9+SPG27CEwy9XoWB+WQULzUKgHhhSsssBS5uCUuqsf0iLLNnUrNm2zPQemyKF2wMVms6ckV22V+93DPffqXOn+keX0od8H+Z5zf+dzf+d3zj33/LFCfI665/OEf6Hp93rcpyIu1hfeX5nH3zcB+KM4FDzc5vOmK7atajJF6tr4aLb9UPAwon4AH1/F... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, if angle AOB = 130.0, then the degree of angle ACB is () | 115.0 | 208 | [
"115^\\circ",
"120^\\circ",
"125^\\circ",
"130^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGsAAAB1CAAAAABsCEA7AAAMFElEQVR4nM1afVBU1xX/3RW9Tlyl04Bsmk1QgYBiRhzJaJV0JdVCivLRkIgTG3FiNKmZKpFGaW0hjZ3IJI6aUdHRVuykjcgmGKN2NwkGaqaxFWfJZAkygkLBUaL5IOB0H+A7/eO9t/ve7nu7by1/9MzAvnvvufd3zr3n3HO/QGNI+QBQb1iMscSi/HpywSMalFowZkQY6cpFKsBIn2EMsRjOLrJi47oMMCNpxpD2AfAYF49pH7o94r65rYYM... | <image>As shown in the figure, in circle O, chord AB and CD intersect at point E, BE = DE, angle B = 40.0, then the degree of angle A is () | 40.0 | 209 | [
"20^\\circ",
"30^\\circ",
"40^\\circ",
"80^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIIAAACDCAAAAABkNJyEAAAOMElEQVR4nN1bbWwcxRl+j9S1VA6MxEVexJFrqEvOOIgrThXTGNl8RBzFMqaYukjQGsnEqtyWtHHLUaVx1VriIhwpFDsyTVX5B7RX4sr9cOEoBoxIhOkFLpWcOrROfMWpcskF6cilwtxd9umP2Y+Z3dnbPScSUp8f9s7MzsyzM++9877vzPhAq8F9fyKitSf8q6pswWWrq/bHzjTwzevP0+q+4FJQKBUjRCO37iDfp0bh9XVERF/858UTWDWF... | <image>As shown in the figure, points A, B, C, D are on circle O, DE perpendicular OA, DF perpendicular OB, and the feet of perpendicular are E, F respectively. If angle EDF = 50.0, then the degree of angle C is () | 65.0 | 210 | [
"40^\\circ",
"50^\\circ",
"65^\\circ",
"130^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAACACAAAAAAZ29mwAAAMWElEQVR4nNVbf3BUxR3/7AHJczhJ2zlMKAdhksMLTaxHExSFMWFASQsmqOlQW9BkxFBNOqQFS6hxCCOMcQgDVuKgTkeo0FETxqhUL2OAC6PjD1IvTJMmkYOECWgyYTSY0L6Q5L79Y9+7e+/de+/eXWJn+v3j3n737e7n+/3u7ne/b3cPFCsFiYiCdUDejS0xVyYiG2IlBqDXdo7otYQ5MVcGgHjEvOEuJSLa2vC/0RHAq9/sA4C09HgqM4q9... | <image>As shown in the figure, CD is the diameter of circle O, chord AB intersects CD at point M, M is the midpoint of AB, point P is at arc AD, PC and AB intersect at point N, angle PNA = 60.0, then angle PDC is equal to ( ) | 60.0 | 211 | [
"40^\\circ",
"50^\\circ",
"60^\\circ",
"70^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAABtCAAAAABG/1pcAAALTElEQVR4nN1bf1BU1xX+LqA8x222aZdAJmtUWMIanAYGOmolEYypTIO/Bi12how4ScUUOpIJTnAkAzPBCRmxwQaMacxI0qRDBhw0iRWiJkuqDa2bogkEnCwCA6lYnCZkN8MisKd/vP3x3r53375daP/oNwO7797z7nfPuefde9+5Z0FceDYDQJyTiMijKqBaoiqqjihwwc5s7iZ6ItEFgAEghYC3kPxVzPunExrkmL6TBhxZU+5tW7VVkU5e... | <image>As shown in the figure, AB is the diameter of circle O, chord CD perpendicular AB at E. Connect OC and AD, and angle A = 35.0, then angle AOC = () | 110.0 | 212 | [
"70^\\circ",
"105^\\circ",
"110^\\circ",
"140^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGkAAACGCAAAAAD7+/uxAAAJU0lEQVR4nN1bf2gb1x3/nt3ispmKrjcid0o1JwpT5tApuCGGujlDAw3UYxp4mIBZFGrwQgpx2ikzbKvDtizuGoizFaLNGbl4SeuRjBjqMQ9cosj+w5nL1LEUh9WR1HkQF/WHXKVMWXX32R+nO92d73T3LhKDfcH23b33fZ/3+b73/d73vXvmQB4EHBHNb/4qi06TFyDiiIj2sHWSGQlECsIxoZ1JkfNkPSK6sKXRnCqSpa/0EBOUV6SzB7hd... | <image>As shown in the figure, in triangle ABC, AB = AC, draw a semicircle with BC as the diameter to intersect AB at E, and it intersects AC at D, the degree of arc CD is 40.0, then the degree of angle A is () | 40.0 | 213 | [
"40^\\circ",
"70^\\circ",
"50^\\circ",
"20^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHkAAAB/CAAAAADuyDKIAAANLElEQVR4nL1bf2wcxRV+l4DdpoYDed0cygWX5FwMpuFqg2o1DgbiqlZ7OMFx66p1JINC3NaoHKotWapbg+rKloiKSx0wWBWu6gpTGQ5c13HFoZrKImkuwqkwcX8crcm5xOFCMbk47F4u8/WP3dud3Zu9860pT+Dsvp2Z783Mmzdv3psjrIP6iXad3g8AYHlX3kCO6cT248DP7ywmIiJX3tWdI19s879AdFtdmcP6zpGfWHmCiGj7Vof1XXBY... | <image>As shown in the figure, the points A, B, C, and P are on circle O, CD perpendicular OA, CE perpendicular OB, and the feet of perpendicular are D, E, angle DCE = 36.0, then the degree of angle P is () | 72.0 | 214 | [
"144^\\circ",
"72^\\circ",
"60^\\circ",
"36^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIUAAACMCAAAAAB3vjUoAAANP0lEQVR4nM1cXWwc1RU+G4iSUKMQVTaLApk4ILJQlUyoFEYgsg7iZxEoXku026gR2agPW14ap26LkcqGPllIsJSHdgmqWAe5+M1RKrEprcTGAXf9gLIWD2yCybqhwCapWKMaecKsNF8fZmb3zsy9d3bHi+iRE8/c3++ec+655557xxFQKGo+9VfKPvzpz8LV9tK6cNU+2aqa2Lp3sDcgiBCCzMX+LIBV7UqY2hwKxYvIa7f/hoiu331Dj1hx... | <image>As shown in the figure, points A, B, C, and P are on circle O, CD perpendicular OA, CE perpendicular OB, and the feet of perpendicular are D, E, angle DCE = 40.0, then the degree of angle P is () | 70.0 | 215 | [
"70^\\circ",
"60^\\circ",
"40^\\circ",
"35^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIIAAAB4CAAAAAAbYXVeAAAK50lEQVR4nN1bX2wUxxn/zgIBLa3hAbiIiMOoUpZWShbUwqYIzq5IOYconFupJikq16rFzks4MC3XSLlCI+VSqbXz0HLQSrWRaEylxoWH2ihSc0BlzkFV133JOXI4QC1ZkypniFuvY3rz68Pu3u7szt5fm0j9Pdzezs7O/Oabb775vplZQoOYf5aISPm4/hKaqEEs/UN0FNghf0ios4SGKdB/5x4nemXVryhQJ4fGKfx19UqiFW2TRIFPi8LF... | <image>As shown in the figure, the three points A, B, and C are on the circle. In triangle ABC, angle ABC = 70.0, angle ACB = 30.0, D is the midpoint of the arc BAC. Connect DB and DC, then the degree of angle DBC is () | 50.0 | 216 | [
"70^\\circ",
"50^\\circ",
"45^\\circ",
"30^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHIAAABqCAAAAABFM1pXAAAKIklEQVR4nK1af2wcxRX+Nr4oUmK4Ui7NUS51IBf1EtP4GjslUixMxAlcNa1CcXGsGmREVLd1EZZxRWjSOKiR6qogkHBLIK04VNoY1dRIRcFITnOmSZvIUDvBzpnGQY7OwKXOH6ZnVw672a9/zO7d3t7+dPzJ8uz82P1m3sy8e2/mSYQfUALw2ejEpyng4jSAyHos3x7ZUF1uauMAyR8lMn8bTGW3r12/tVz6yjoAl6YwN3wxczKyI5H4kmTD... | <image>As shown in the figure, AB and CD are the two chords of circle O. Connect AD and BC, if angle BCD = 50.0, then the degree of angle BAD is () | 50.0 | 217 | [
"70^\\circ",
"60^\\circ",
"50^\\circ",
"40^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAAB1CAAAAABchFEaAAAKmElEQVR4nNVba2wU1xU+A0tJ1UXbhnE9iCVu8CbeyAiZOBGucGsaTLAqSqli1VKBylEdO6ojsRGOcFU38MOVSEQrWtmRKxKFKo5EwMiRSlvTGmJUR7VkknVVkwXZFhutEy8xatbYNIbZvV9/zMzOY+8d76xRpH6S2Zn7+s6de859nHsgeAQzHrol2n7voNfqwAryCEn7iUv/YnjzK+vgtT6RdyEB4F5ZMwAcOvMl9FET8+R/fkNEtPER73Wl... | <image>As shown in the figure, triangle ABC is inscribed in circle O, if angle OAB = 26.0, then the size of angle C is () | 64.0 | 218 | [
"26^\\circ",
"52^\\circ",
"60^\\circ",
"64^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAF4AAABjCAAAAAA3XejBAAAJRUlEQVR4nLVZXWxcRxX+rtskfajiGCmKI5VuHEV4USXnpi/cAOrdPNAsEvIPD9mWCmWphA1PMVBgK9BWvNQtUhwhkSx9YUFCOMXSpgmq4/DQdUBoIyRYh4dsgsiuGyndRKibpJZyfe+u5+Ph/uzcn/1xmn6yrJ1zZ745c+bMzDkzCvFYcGmPGiUeeDzszRPR8sdE//NnDwAgEDDG46E/o34EAAqgfAb0a+tf3vM0Qqo/LvqTP+UBAFA+E+Oc... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, angle A = 70.0, then the size of angle BOC is () | 140.0 | 219 | [
"30^\\circ",
"35^\\circ",
"70^\\circ",
"140^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIEAAACICAAAAADlxNdEAAANSElEQVR4nMVbfWwbZx1+LvHIVjI8Ca91wcP9yFQXt1mKi5bRDHfMjFR0rNOqZWUdBCkjhYAIVYBUFFJgQCsykUGnpeoEGSssoEgZUtd6WiacNlMDKWQbKe5YSp0lFSmpNmdOIeUu9/DHffhsn893rlMeKfHde+/H8/7e3+/3fgtEUfjH5B8mzgu8MA4gsAy4dUXdCn9ROQnOGcwNRF8/5Vv9Mf8aAcsCAM5eBMYSp89O1922JVIBgMIiMnj1... | <image>As shown in the figure, in circle O, chord AC parallel radius OB, angle BOC = 50.0, then the degree of angle OBA is () | 25.0 | 220 | [
"25^\\circ",
"50^\\circ",
"60^\\circ",
"30^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG4AAABwCAAAAADa7BrMAAAKw0lEQVR4nL1aXWwc1Rk9Y4daFRF+wGmmZSULshEbGQmDU7E0i5wKt2zFmm4lI6eSqzpSmiCFqkbyIqtK5T6gNlBLRNSoNq4Ut/jBqAa3wlVW2AinNcXICebB1Kas0yDTZsGoLNpUOMrMPX2Yvzs7MzuzcdIj2Tv399zv3vvdn+9+ChEMKtLH258urW/gyiIUIlWP25vvv3V/lbL+ULx0Nokd0Ofm3jjf8tXUbXtx0/0KgLPA2qX5T1bv+2bH... | <image>As shown in the figure, if angle ABC = 30.0, then the degree of angle AOC is () | 60.0 | 221 | [
"30^\\circ",
"45^\\circ",
"60^\\circ",
"70^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH8AAABsCAAAAABmlDL6AAAKgElEQVR4nLVbb2xb1RX/vdd2BWHhCdzVFS6BJpWtpdM8pWxB7XA7UojUKJQ1DD4ELRWsYWTayhqJaCqKkPohm5gGmsNA7UaQgAU1LIwhlowCRqJa1hTcaYnSrknrLpnqKgjSxUihte9vH97z83vP78+1m54Ptt+9953fOeeee+69514rRDV06eRUNgXMzAFYvwGrtkQ2NgSqYaRI4VMx/Zh772jqwtb1tXcEcFsNgPMZ5MZnZj+KbG9qWmt/... | <image>As shown in the figure, in circle O, CD is the diameter, point A, point B on circle O, connect OA, OB, AC, AB, if angle AOB = 40.0, CD parallel AB, then the size of angle BAC is () | 35.0 | 222 | [
"30^\\circ",
"35^\\circ",
"40^\\circ",
"70^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGAAAABlCAAAAACXPrlXAAAKKElEQVR4nL2ae3DU1RXHP+dusuEd0AQDASMPeSQgDIKgCGUUEFB0sCiKncpYbCvWOsrYWkcNEa044INWqiJVCT6hg/iiaAV1oBRBQXmKgDBAMJKgJryS3ew9/eP32/fubzd07Hcms7v3nnO+555z7/2de3+RkOEnhbd5zdCS3J+EHM9eAVCB/Yc/2rtncyDSUTRk4i9aZmMfyRyiDV8s/ahL8XUthnfuCJgHgePf1O6uYdT9l//vBIf/+G6H... | <image>As shown in the figure, it is a circular exhibition hall. In order to monitor the entire exhibition hall, two monitors A and B are installed on the circular edge. If the monitoring angle of monitor A is 65.0, the monitoring angle of monitor B is at least ( ) | 115.0 | 223 | [
"25^\\circ",
"65^\\circ",
"115^\\circ",
"130^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABtCAAAAACzAdHsAAAKfElEQVR4nL1abWhb1xl+JbfNoF5VFoWIRkVprWAV70PFKctWEzldBh4LqbO5mDF3KNBEEG1UZe7QIKAN/EOFrHXBCd68Ea+kW2i8qi3OalOnUbb8MGhD7ebWNlVmt0oWbWJDqVxQcq7Psx/3Q/dT917H2fPn3nPuOed53/ec+55z3nM8oP8z7nJe9MZ7S9fzRFeugSjYQXc/HtzV3e6e0eNMx6vvvpO/3vNgx2PttDNERB+v0lrhSvlycN/+... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC. Connect OA and OB, angle AOB = 50.0, then the degree of angle C is () | 25.0 | 224 | [
"25^\\circ",
"40^\\circ",
"50^\\circ",
"80^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAAB7CAAAAACTcLvaAAAMN0lEQVR4nM1bf2wcxRV+e7GxGo6cKJvmgA1HEic+cBpMnKhOazhoDmGKpVrCxQ0xkikurrhWGOO2pnUwUAsiESqrMcJSVNVV08q0rpw/0nABp9gQVINJXcElFxoTDGeUiy5qHC6hZr2er3/s7t3u3v48CPT7w96dmX3f/Hgz8+bNO4ILDBLVLfzSTUlv8JEjZrm3gT2XXOlc0jMcq7ewoQMAHjvwZbT8j/95koho9arPv+EcHAosbHogRuA+... | <image>It is known that: as shown in the figure, AB is the diameter of circle O, CD is the chord,. Connect AD, AC, angle CAB = 55.0, then angle D = () | 35.0 | 225 | [
"55^\\circ",
"50^\\circ",
"35^\\circ",
"45^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAABpCAAAAAAsZUPHAAAKb0lEQVR4nNVabWxbVxl+r9suaIrmSbtV7zQPd41LPIVuLulExIycjsAsVqKMZcoQGcu0LpkUBpaaaQYiZUARATpRpGTK6NCC6CAonVKkClwtax2RaYFMc0EpaWlKDe6omSfNwx1Yp9fn4ce91x/3+2bZD54/99zz9Zz3fL/vewSQO7x35tyVNNHFt0AUaKEtdwd2tje7LKuD4Ibz8qlX0leit7bc1Uzbg0T09yxdXb6YWwzs7era9mFwnvvZ... | <image>As shown in the figure, points A, B, and C are on circle O, if angle C = 35.0, then angle AOB = () | 70.0 | 226 | [
"17.5^\\circ",
"35^\\circ",
"60^\\circ",
"70^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH4AAAB1CAAAAACtjwqXAAALH0lEQVR4nMVba2wc1RX+7j5EVRbcSIuyKpuaxGswSh9BBmGEkZPWFEvNRlG1klvVFKeK6lahwgjbNZJRUjUtgVhAWhBxeQWVCtMauSX8cLGjrCVHWHIqV8LISbPmZdMsLD8Mdltjr+/XH/PYmdmZ2ZlxIk4Uz71zH9+95545995zzgoiKO05CQDB2wNAKHjT19I5slt8QfAEaoBH0z1fDLwYqwOAunNfDDze+C5A1GwEHSK46ChNe/DoBuAj... | <image>As shown in the figure, AB is the diameter of circle O, and the degree of angle ADC is 35.0, then the degree of angle BOC is () | 110.0 | 227 | [
"120^\\circ",
"110^\\circ",
"100^\\circ",
"70^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHsAAABuCAAAAAAitzOLAAAJwElEQVR4nL1bf2wUxxl9c5ggJVauSEdYyqUu+BIfOhK5chIR2ZVN4ghHdS1HcQtSTWWaxE7rP2KpRrVUJLcSlVxBVKLiBEKVGqmVrNqpCdBiEgJHBRKp3bitjGyaMzY5HC6YqpC7Nhe429c/9n7s7u2tZ49znrS+nZmdeTPffDPzzcxnQRQLbD4KYNXlUtkMrqJRQ7zTNEF+f30MAGSaVERu3LldCex9shsAxJfMfboMAB66JNXoInO/9zQA... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O, AB is the diameter of circle O, and point C is the midpoint of arc BD. If angle DAB = 50.0, then the size of angle ABC is () | 65.0 | 228 | [
"55^\\circ",
"60^\\circ",
"65^\\circ",
"70^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHQAAAByCAAAAACnqKrmAAALR0lEQVR4nNVabWxT1xl+bgI1W0NNV9MYYeq4BOEqZQ2EqnSkOKxZiyaqsTVdKjUVoaKiUn4saDHL1HQgjWkUtpVN+UHLJkxbVhBp062tGlZaHBNWutBB12REbeIkTSrMgtYgB8nYzn32437b1869Jv2xR7Lvvee89zznPe/5eO85r0DYw9ULA5fCwNCXBDxLMXetZ1lVic0yBDuk4x+8F75UvWTpvSUo8wIYHcFU79BYj2d9bW3p10I68Ke/... | <image>As shown in the figure, the quadrilateral ABCD is the inscribed quadrilateral of circle O, AB is the diameter of circle O. Connect BD. If angle BCD = 120.0, then the size of angle ABD is () | 30.0 | 229 | [
"60^\\circ",
"50^\\circ",
"40^\\circ",
"30^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHsAAABoCAAAAAD07tCWAAAK0klEQVR4nN1bf2xb1RX+3otDkDAYRLq4qzsn1KyODJurMhFEwe7I1ExkIdsyFUQnBanEW4NEUYuIprJoW/8IEkhBS1hYNRFENLI1UoAVLdmC6q6p2q6lBlFIt7rYXVpIlzEc3G0l7/l9++P5x3t+7/nZLmXSzj/xO/fe891z7o9z7zk3AlGaphuCNjWqJtGmXHr0SiHbYvPJL60BADvrXAnsX3z1AwEAhM8fO5m+Y4XzSsCWgf30E7gZwP/C... | <image>As shown in the figure, points A, B, C, and D are on circle O, and point E is on the extended line of AD. If angle ABC = 60.0, then the degree of angle CDE is () | 60.0 | 230 | [
"30^\\circ",
"45^\\circ",
"60^\\circ",
"70^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJgAAABbCAAAAACq1RPnAAAKvUlEQVR4nMVaf2wbVx3/ugkNjGzutNvqale8VZ7mka31SKcWsAhTCwTWCpe5itJV1BXZggiTTJaJoHV1hzJkRCYZFqGMTsJl7ZaNFK+iP7JRqXEXRGgGHquZMxpIVmfUw4E6c6JeiXsf/rg7++58F/vuPPGR4tz7ce993vf7fd/ve+8e4SNAlKh16QlrbaygmmPW9jZwcOUaa63Unljhge5niNgn11lrpvbEjvznh0RE62631owNtSAjw9LG... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in the semicircle O, and it is known that angle ADC = 140.0, then the size of angle AOC is () | 80.0 | 231 | [
"40^\\circ",
"60^\\circ",
"70^\\circ",
"80^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIwAAABuCAAAAADQJ6RrAAANmUlEQVR4nO1bbXhU5Zm+35MQKI6d0k5MdjsQYgIkSi0grLgLBAuVIKyCiwYUFfqxUOEqAaJNL9gAFktBxCjYC8W1wVpLlSVtRaM16kTFUmALiyGEEpA4EUJoSWgSyUyY994f52POOZmZnDPkuvbP3hfkfL3nOfd7P8953o/zjiAskErNdfkU+mF079KR+rM1wKnPCfhz0O+fBw+72YMeiN7gFgIQBhlSoQC6R+8eIWwmm957J3BuwpDsf/Jg... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O. If angle BOD = 138.0, then the degree of one of its exterior angles angle DCE is () | 69.0 | 232 | [
"138^\\circ",
"69^\\circ",
"52^\\circ",
"42^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAACFCAAAAABJFkgDAAAL+0lEQVR4nL1af2wcxRX+1jmUlli6VrooJ7rhQnyIS9xGbgxqRAI2tVtcZBVXuBgHV3LBitO6ElYagWmtOEWp5D/SKgUjjJyIAxJkJFdOlZA4wilnZCDUSInoxRcU0xouNIccCVuOwWSP/frH7t7t7s3+OMfKU6Lzzrx537w3b97MvBlwOakZAFDnylOC5aTXmlPk2EZXnuVFzCox5dDdNxLx3Wq8dkvgcXemZR3HVyQg5cGzvDqenGTLWg+e... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O, E is a point on the BC extended line, angle A = 50.0, then the degree of angle DCE is () | 50.0 | 233 | [
"40^\\circ",
"50^\\circ",
"60^\\circ",
"130^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKMAAACECAAAAADZrsTSAAAQ/klEQVR4nL1cfXBUVZY/jwaCYzRaxk3P0kMr6ZV2GrUhTE27tNvRCUu7FTEOcWOVuEJtljAbLDMFLlRtqmLVMmssgpstE4kbHDMjVoUi2O4Sl6aM0rsGjRPYxjIOoGHTTJjdYJyxsTNlk7x+v/3jffR7r+/7ysf+qgLv3nc/fu/ce889995zmwM5wMmyoJPk84RFThLPPLtQNEzhiGPzCt9C8TCDE46vrPmfBeNhBgccU5nQ7cULx8QY9jmi... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O, F is a point on arc CD, and arc DF = arc BC, connect CF and extend to intersects the extended line of AD at point E, connect AC. If angle ABC = 105.0, angle BAC = 25.0, then the degree of angle E is () | 50.0 | 234 | [
"45^\\circ",
"50^\\circ",
"55^\\circ",
"60^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAAB8CAAAAAC6DEp+AAANCElEQVR4nJ1ae2yb1RU/titKHcDtt7qYYjAznVuCiFbWoCaEsWpNaEpg0aQM0bkQDReIWKaVpdLyRzOtmyKRQjbCI0zR6FbaZhLVijt1NEA3NVu6PgAPM8igBgzCDDMwxGWY0O/e3/643/tlm6PWuY9z7++ce++599zzXULNxAHsJFo7/wMlUzP5qWbyUc7/EvDEwouJyFd7OyKqQ6D5eBIA7tpTjxb1acJp7MwjREQrEqhLjbo0mY8PAQB4... | <image>As shown in the figure, the quadrilateral ABCD is the inscribed quadrilateral of circle O, if angle C = 140.0, then the degree of angle BOD is () | 80.0 | 235 | [
"70^\\circ",
"80^\\circ",
"90^\\circ",
"100^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGkAAABwCAAAAAA4MAG1AAAL90lEQVR4nK1abXBU1Rl+zs1KOhLcOi5NKguBZAMLSZCBjtJKG6mxxhEtCkNEaUXrAAoOyMQ2ndL4o7TSGeu0JRYUa9ePUjoi1ilCbCmsKC2C01rYbALZQHAjXULVYEKF5N7z9Me5X5uPzX7kmWTvueeee57znvPe9z3nvEcQw0Bq9pUCAC580Hr2bYr2TgD+UlzxtYllcwqGe3swxLBMSej8277wf+ZNLLm+AJOLAZzpQO+RU/F3J3yzurrQ... | <image>As shown in the figure, in circle O, AB parallel CD, angle BCD = 100.0, E is any point on arc DC, A, B, C, and D are the four points on circle O, then the angle of angle AEC is () | 100.0 | 236 | [
"110^\\circ",
"70^\\circ",
"80^\\circ",
"100^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHoAAAB6CAAAAABVMhg4AAAK90lEQVR4nL1bfWxb1RX/PafsdcWrmeYphrl4JQFe51LSRhNBDXOrpWqAMAUWlpZmW6ZlbbRMapdmo9tSCl2luVMQ2YhYUIcIgmlhFGUSWcimVk2oK4VlKB2k2FNdNcGpcEi1OnMCfsR5Z3+8Dz/b79Nx+SmR77vv3vM7536ce9/9ANmDoBHSQx/wwKe/1E3sgD0wAJESMkhIM8y7JDz/uVvkxBpJ7NtrKcXSpnYioieGdHNatzpP8Tybs1L8... | <image>As shown in the figure. Given that the three points A, B, and C are on circle O, point C is on the minor arc AB, and angle AOB = 130.0, then the degree of angle ACB is () | 115.0 | 237 | [
"130^\\circ",
"125^\\circ",
"120^\\circ",
"115^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHUAAACGCAAAAADGaZrXAAANHklEQVR4nMWbeXwURRbHfz0z6ZmYOybgh0OWgMspoHKonC6CugoSiAZ0kSiHrkY/HIIo8lHRD+BniYLHsnLIIeASCAIq98oVAkEgEIKAIXcC5JiEzCSZme6Zrv1jjvTMdHdVIOu+P6C7+nV9p6req6p+9cIR/B/E0Go1iRIAXQiTrq61oOb5JlOU6UUrmzZpLan/5ztS/sNzmXRbra2wnB7JRQ5hq6/VxlUsKe5j3rI3nUm51dpqO32kU4+Q... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O, if angle ABC = 40.0, then the degree of angle ADC is () | 140.0 | 238 | [
"90^\\circ",
"100^\\circ",
"120^\\circ",
"140^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIUAAABgCAAAAAAWOO7RAAAMXElEQVR4nL1ae3CVxRX/7X6IkhFSbudSHrGBCMYm5SFpqijYUJmCSlPQpm8rnaE42qEziNOWaUun1NIaOrRlOk3UsUyddrBTROKIYjCt2oZqq4RcLddoCjcorak1SDKaBO+eX//Y77v3e9wbbm6iS5i7r+/sb8+e3bN7zlFEzkRlf0Xnbh/fFBlEAAHwRAKAvE8goigUqIGzGwGB5vsAQoDoMAoKwPdmVUCDCvKeo9CAik6WAO5e3Ovm1HuO... | <image>As shown in the figure, an exterior angle of the quadrilateral ABCD angle DCE = 70.0, then the degree of angle BAD is () | 70.0 | 239 | [
"70^\\circ",
"110^\\circ",
"140^\\circ",
"120^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAAByCAAAAABBgWGiAAALTklEQVR4nL1acXAcVRn/ttUB9eDQXsjVLh7QA66kaEygHBonrQS9SoWSdrg6BCfjtJ4a/zhKZoxOx8BMZ7iORSNEcrY4hLEOmTFwOFOSaAM9pEgwkKCEXhmuErhgD1LlykW57N69n3+83bvdu9273ST4+yPZfbfv/b7ve+9933vfewLICiCU/kOgc6+cOhMnOj1HROJ6+viXxSubHOXfmkCwxqjB3DPH4mdaLll/nYMu9RDRW29hYfJ06oS4... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O, angle BOD = 70.0, then the degree of angle BCD is () | 145.0 | 240 | [
"70^\\circ",
"100^\\circ",
"145^\\circ",
"150^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHUAAABjCAAAAACA4BDmAAAJnElEQVR4nN1aXUwc1xX+Zk1qK3W8WCoOlV2WjVJ3/VBn8UsniexZrKimSmWvq6jYdZTiVjJypaqbUrXug9dYquQ8tFiq2mCsKqtKVomqFpJKwVErZQGL4qpSFl6KCbAL/TGQqgsSEUthZ74+3NnZmZ2/XeCpR8Dcn3PPd8/Pvdx7ZiTCkwpvdnkzbIvqfPqvfxqUdh014N199/2j2H1QH9TZj9v0ko8jdhO18N3vzIVFcXcV9kTt/vVTorC7... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O, if one of its exterior angles angle DCE = 64.0, then angle BOD = () | 128.0 | 241 | [
"128^\\circ",
"100^\\circ",
"64^\\circ",
"32^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAABuCAAAAAAvqUPMAAAMOklEQVR4nL1bbVBc1Rl+zt2NVCiswRCRYGiIEiQttrH4QcDvxGBQscpUGuxQh7RqSsakqVPHKR3TabQyZTraKW1TJ9Gm4rRVgzWmaHCUFDT4QUJqVjOJEslqsBqdzQfG3Hue/rj37u6999xlN8v0Ydg9n+9zznvOec+957wriCmD1NKtkXaFpEi3K1PILjUpzNBjQtTp9/1/2TVL2EExQrl+WlEqquBUQUpSkjxZuZok259Poc7U9V2AEAD+... | <image>As shown in the figure, the quadrilateral ABCD is a quadrilateral inscribed in the circle, and E is a point on the extended line of AD. If angle CBA = 120.0, then the size of angle EDC is () | 120.0 | 242 | [
"60^\\circ",
"120^\\circ",
"150^\\circ",
"130^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGYAAACCCAAAAACRYeIqAAALgUlEQVR4nM1bb2xb1RU/zx1CbGHmgzMe4xVvNB1mkSKjgKi0MIeRMU8UkUnZQkUkjARkIx8woSAzlbplTOsmpGUjiExMqttVWyXC3G1VSKVUdaDaIkVaEDO4qOnw+jLVyJNw5mZY5Pn89uH98fP76xet0s6H1u/ec+/vnnP/nHPPPSEEoj1ERNJGsEYAQhSIfrunBDxyy3+CtSIKCLO5GSN64a7nrzDMX24iItr5/hWGOT1ERHRzUJSAMMrJ... | <image>As shown in the figure, in the circle inscribed in the quadrilateral ABCD, the central angle angle 1 = 100.0, then the angle of circumference angle ABC is equal to () | 130.0 | 243 | [
"100^\\circ",
"120^\\circ",
"130^\\circ",
"150^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ4AAABuCAAAAADzfPW+AAALB0lEQVR4nL1bbUxk1Rl+DjNm0y5mYncoY50VldkyytiwwW23EYWtGPmxIdtKww9XyyYbaILNstlt5AcpmxSzNK6RRFCb2oiJTYmwQRNNxmR12ZRGI6az1kFQR8GCymaaOnYwInvnPv1xP2aGuXPn3jPQhzDn3Hvf857nfH+9RxAu8Fp1gxvx8lHhRvjqiZ2iUQyu6A3cGNopHkXght5T+z/fMR5F4ILecvpgVeXOMbGEc3o89wh+uINMLOGc... | <image>As shown in the figure, in the inscribed quadrilateral ABCD of the circle, angle ABC = 120.0, then the degree of the exterior angle of the quadrilateral ABCD angle ADE is () | 120.0 | 244 | [
"130^\\circ",
"120^\\circ",
"110^\\circ",
"100^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAACOCAAAAAA57VhOAAANuElEQVR4nMVbf2xb1RU+L9XWqYowiBd4bAYX5qqGsBLINlIp4CIy5rFMzUSHBavUMDGFLZsWSgAzQk1pJoIWjUzLtkiZhJE2KZOyBW2hTTWXpiUDr0ELQgkuwwxrzhZ3RuCSlXqKfb/98X6/d997tpOOT2qa3F/fvefee+65551L2AjcQ0Tk/0/N9RponQAR0W+iaeBboY9qrbxudoGIqLIWIjp4yxP/d3YiInr1KhDRtjc/HvbkHQIRXVNz... | <image>As shown in the figure, ABCD is the inscribed quadrilateral of circle O, and angle ABC = 115.0, then angle AOC is equal to () | 130.0 | 245 | [
"115^\\circ",
"120^\\circ",
"130^\\circ",
"135^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGwAAAB5CAAAAAD5Fps5AAALWElEQVR4nLVbf2xb1RU+zx4UqY4M45l6q4sHNYtZNNVaYC1rOxcWBtOyEEShIDI1lVoCdBquEolIZDJM0ci0TlSjQSntRJDKFJSMdFslXCkorqhERmgNImmKSBoPp6vBRXNxkNzs+X774z0/v59+19b6SY7fu++++91z7rnX595zIoBqxYk1kZrfkeGq+Y3/PlMnVT1kfTeHrjoZlM8rkX+XL68emSB/0oW7fA3K7dUjIyIi0P5n6bv18NRB... | <image>As shown in the figure, given the angle of circumference angle BAD = 50.0, then the degree of the angle of circumference angle BCD is () | 130.0 | 246 | [
"130^\\circ",
"100^\\circ",
"50^\\circ",
"40^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAACACAAAAADsJVIAAAANPUlEQVR4nNVbbVBc1Rl+LqBQ3XTRLmYd18EWlFWwopgGhQiamOAYKx2TEkecYJtIx4xj1HTEKTaOWiWdOI0zdAaNqZsxHckYJ50xVjJNG6ibgia6tKKQhFQoVjHESrJoYD/u0x/3++69e+8SqtPnx+457/l4znnPe8/3AecCM40AUHI8w2RZmAucvW11L7ly0fHMkp05OQFAjJcCjy1o/brJAQDvnjsPOPuS0eg3Qd61BACKM0x15uQCgem+... | <image>As shown in the figure, circle O is the circumscribed circle of the quadrilateral ABCD, if angle O = 110.0, then the degree of angle C is () | 125.0 | 247 | [
"125^\\circ",
"120^\\circ",
"105^\\circ",
"90^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFoAAABgCAAAAAC4IjoVAAAIo0lEQVR4nKVZXWwU1xX+7iyJ11ZVcFsLu1JqQ9J4qdQwIg8ZlMLilNIlaoOdPhiQKQYpdugLdiUI0NYxUQSEFBxVTTFRVUNU26Cqa9EHUJuqa6O0Nm3NOvTBTtXahgfWCLEGUjL+m/n6MLOzM+v5WS+ftDt377n3u2fPOffOvecKwh0Uzt9To9dmjLZ8+ms1Hp0cEHRnsmOmf2BwqLRaKTJ/35oYqFwT3aQEcdMFuq2cPqMUxY4nVKds/PIb... | <image>As shown in the figure, the quadrilateral ABCD is inscribed in circle O, if angle C = 36.0, then the degree of angle A is () | 144.0 | 248 | [
"36^\\circ",
"56^\\circ",
"72^\\circ",
"144^\\circ"
] | D |
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