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": "iVBORw0KGgoAAAANSUhEUgAAAHwAAABkCAAAAABh8AuUAAAKEUlEQVR4nLVbcUxURxr/zaKP3rknNV3CNq61FnHxMNf1sFcvkuzS2kIPDzHYk7tixGhRownbSCPmmgMTL5I7LmDsNuppxKhXW/DQnr2y9tQlwZ4GG+gVEBQEgp7LYU4J61UesN/98XaX996+3X3vQX8JPGbmm+8338w38+bNfDCCAoiBmCwj9CSGkbauBx6g9x4ASzJmr7Is+alRLhsbTJE8Gu5d+dLzIGNB8itGvLgQwMAA+Vp6B5stjjdW... | <image>As shown in the figure, AB is the diameter of circle O, C and D are two points on circle O, CD perpendicular AB, if angle DAB = 70.0, then angle BOC = () | 140.0 | 549 | [
"70^\\circ",
"130^\\circ",
"140^\\circ",
"160^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIwAAACNCAAAAABA981HAAAMyklEQVR4nM1cf2xbxR3/OmEJK+nMVqO+DkM2cFWXdMUlUFzh4XRkIxudFkRF6RaJIAVSFk3yurJlW2iGVtZMqtZMZKMsTBiRSukIuGJpcUVKndZs1oIURF2crumaykUKc7WapZXs1nmf/fH87Pee7/20E/b5Iznfu3f3ed/73t337r53NpAVwAabELp4Kj57gohOXSQibhURNa1w33kjbERikuJLOrnaLJAp8Dh6bCp6nXflzRuJyL2ciP6d... | <image>As shown in the figure, A, B, and C are all points on circle O, if angle ABC = 110.0, then the degree of angle AOC is () | 140.0 | 550 | [
"70^\\circ",
"110^\\circ",
"135^\\circ",
"140^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGgAAABsCAAAAACj5qhrAAALmUlEQVR4nLVaf2xbxR3/vJeRoi6QaZjWMBfTNh0uQV0SEArMIrAFCNBB0MICKBqp1C1bC8NkQfJYmqpbK/JHp7WigmhlW9jK6EZamCitEWlxSiuFIFQEaVyVUNI6at0wTe5cmB387rM/3m/7Pful6r6R4nt337vP3X2/973vfe8kwp0omelzHx47PQJ8Og0gsBSX3Lpo2Y1VpavYSCoFpNP0gbfjZ8LXLL65CtcGAXHqJM6PnTh1OHBHc/NC... | <image>Point B is on circle O, point C is a point different from A and B on circle O, if angle AOB = 50.0, then the degree of angle ACB is () | 25.0 | 551 | [
"25^\\circ",
"65^\\circ",
"30^\\circ",
"25^\\circ、155^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGkAAAB2CAAAAADuaeKoAAAKPUlEQVR4nL1af2wUxxX+ZteVI3HkgnrUF+HUgA9xgFMZ4ZYgUFwLiNOCUwgNBtUUU5GACmodCRNQIplUVDU/JApNVAxUGIGFKaYgfjRGPoJp2gCyKagYMOUumOIoZzlSMDYVJN59/WN373b3ZvbmwPQDeW9nZveb9968NzNvBySCbvypA8qoWthKHgpEYADwGYsSbWMhYasM4N0RrCEiqm7Rn6ZMALALWwAgNIY9bZlQR0MgjYRMMYwdAllM... | <image>As shown in the figure, given that points A, B, and C are on circle O, angle AOB = 100.0, then the degree of angle ACB is () | 50.0 | 552 | [
"50^\\circ",
"80^\\circ",
"100^\\circ",
"200^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGkAAABqCAAAAACafSBIAAAKDklEQVR4nK1aXWwcVxX+1q1I05qWIDndqInGjtpm1YdkkkIzQYIxEmo3IrgbFNU1oGoBiSVIKFscFOeBjQgSRmrZIHjYJA+ZAFFNedggpLqRkFjHUrrmJWN4qEPcrGkTMk4FkzYuGdde5uNhdmbnf8YRn2zt7p1z73fOuef+nTugFyZJ3n2VsTDjH4ejBw4IABkCqy/eQSwyXfn06DIxY7ei/PFJL394m5l7ZXIqvvPekIsls/Y2k5hsLH//... | <image>As shown in the figure, AB is the diameter of circle O, CD is the chord of circle O, angle ABD = 59.0, then angle C is equal to () | 31.0 | 553 | [
"29^\\circ",
"31^\\circ",
"59^\\circ",
"62^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIAAAABpCAAAAADXHnRdAAAHY0lEQVR4nO2aT2gb2R3Hv0/x9iQylAgqqItooqWC5CDIRaUB9eDd9cEyXjD1lqbUpSE+7KFesBYfAjpsDoambLakYDWFzcEFH7I1JCmYSAsqG6iWHLyFLMrS0cYhPbioB4H2YI3G79vDm/+SN441M770B/LM7/cGfz/ze783780fQQAA6mfPAhSI3igAzN4HAFIgYYXfIAABfO45MhoAAQD3SjpZFgIASZLlkiTJiDT9RpIskWSpTKoMVN+8... | <image>As shown in the figure, in the square ABCD, AB = 8.0, Q is the midpoint of CD, set angle DAQ = α, take a point P on CD, make angle BAP = 2.0 α, then the length of CP is () | 2.0 | 554 | [
"1",
"2",
"3",
"\\sqrt{3}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIMAAABJCAAAAAA7hcpoAAAGEUlEQVR4nL1aX2hbVRz+EgRR6+7ApGYs0tm1WhjObvMhk0qRdbNgF/YwiYWhfVD2UHXF9KEPs9vDwMgG7cPAhD1sYoRNCoM5IeiYXbUsY2BfJmWkc93SsXZFjab2xDa7nw/3T26Sm+Tm7/dw7znnnnu+7/zOued3ficBFayelEmSMhsCmaQfANBP2gEAWH83aQMAKNe6wwbglN+T5Ort3SuqhrOXXmoMuQHrsX1NeOrCnZOKhrn73obSEwDv... | <image>As shown in the figure, the intersection of the two diagonals of the rectangle is 60.0, AC + BD = 20.0, then the length of AB is () | 5.0 | 555 | [
"10cm",
"8cm",
"6cm",
"5cm"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKkAAABiCAAAAAAOkayEAAAH+klEQVR4nL2bbWgcxxnHn3UCsVyBP3TlXuCKgmtVVy6kTlTIJXERAeEYIlRB3DovCnEgQQ1uiIKcctDEplQiIRXFAbX45UOvRHY/VEElialplCBsi8p1iENy1JC7EqfnkpOvULWX3p115/33w+yddm9ndmdm9/xDL7Pztv+Z2Z2ZZ2bWAKkCg4iIar+eVE6qgX03ok3qaVnS+r7/Ricn8G6kpZSRefvbRETqTaIBiPSV5r8YAZGjyJ3EICJo... | <image>As shown in the figure, in the diamond ABCD, angle BAD = 120.0, the length of the diagonal AC is 3.0, then the perimeter of the diamond ABCD is () | 12.0 | 556 | [
"3",
"6",
"9",
"12"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAI8AAACSCAAAAABZQMYKAAAN3ElEQVR4nM2cfVRUdRrHv7/LgJRsyjHSUivfFjazM57tRVOX8YVlMBxE0VLxbVXAstSVU67rCe2kx3aT7UWMZFRYNDEwAUmGRCG1jrvZgTZbtSToZKab5Qu66syd++wfd2aYYe6d+zIXzz6Hc5h77+/lc5/f83t7nnsvSKsIRERCAWBxLtWcWVE4aBUGoI37gmh71L2aMyuKdh4ALmvWu8CDKwYbTaOTp+iXjQAwcJCxLADASHse17D5LxlP... | <image>As shown in the figure, angle MON = 90.0, moving points A and B are respectively located on the radials OM and ON, the edge AB of the rectangle ABCD = 6.0, BC = 4.0, then the maximum length of the line segment OC is () | 8.0 | 557 | [
"10",
"8",
"6",
"5"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ4AAABmCAAAAAAfL3fTAAAI0UlEQVR4nMVbf0wcxxX+ZrcNRkWif0Bo1asazKIe8lUFgSpssIx02LKDz7KMLVM1kkPkulRgNRE5WgdoqlBqGUppFVPhxBXBf1REgIIKxInurqKNaZ2aFFs9wkXec1UZy6WhUmloGqTuvv6xd3t73HG3Pwbnk2BvZ2fffPvm27dvZmcZgSOIAcHiEn4GBX6mADAABxlHgzzpEQjo8BVzNMn4dS4xgF4tPsRTLhy9xwDcw24fP4u8tYcr5+Dm... | <image>As shown in the figure, in the diamond ABCD, angle BAD = 120.0, BC = 10.0, then the length of the diagonal AC is equal to () | 10.0 | 558 | [
"5",
"10",
"15",
"20"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAI8AAABeCAAAAAA/ahjFAAAHwklEQVR4nM1aXWwbVRb+rsOqJjxYERvJrNSUIqQ62lVr56F1DCiOGionEiJerdQ8dMN2BSTtQ9cpQiQvTSwkKCBqkKhkdmGBaoOyWqkuLzFPG3e1jV2h1m4fsIX6k0SiyW6qpH2o4mDPHB7mjjNOYntm7i3wSbZmztw58805Z849c+6AJGACAHoeyFDlgASMT75Ka2sjMlRJ4VNKhuB8XoYmQNjCKtHc3mWabL2i7fzc/mLApeut7Pv/d2g7... | <image>As shown in the figure, the perimeter of the diamond ABCD is 16.0, angle A = 60.0, then the length of the diagonal BD is () | 4.0 | 559 | [
"2",
"2\\sqrt{3}",
"4",
"4\\sqrt{3}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIwAAABbCAAAAACEkDJ1AAAGUElEQVR4nM1aTWwbRRT+NkIiF9ReuMb9CcpWSGDfChzcSi1NJYzsC8mp+NSEmyPk0pNLL1C1KCmn1L00t/RkJISMhCPcU9ITm1uMZFs51blgFIRwDpP5OOyuvXa83tmdTdUn29qf8Tffvnnz5s17axCxyNb5i/ogU/oQAIDrcYDEROZOxlGMlqKNWIapfPF6HDixaKZlnM9AUytALGSI8m2YAIw3gIzx9AdjNpbRfksfogWJrbY+ThxkWis/... | <image>As shown in the figure, in the diamond ABCD, AB = 5.0, angle B = 60.0, then the diagonal AC is equal to () | 5.0 | 560 | [
"20",
"15",
"10",
"5"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKQAAAB1CAAAAADlvBUXAAAJ4ElEQVR4nM2ce1BTVx7HvyeJgw+qdcX1uVIJKtiquLo+CigCifIIgorSFqtFq7t1dpzuCLM7nd2Zzu5fMN3tPnSVVl1tdVbWBy8JjwSsLx6KGwUHKgTFx4qLS6RSSkpyz/5xkxAwJPfenBS/M2Fyk3t+95Nzzu/cc3/ndyAULJVUBACUEqZWZSyNURRqWinNJGwZ2UISgCqBbE0WS6uMIQFdKACENLO1yhiyXA0AwWyNgrB1HN5cFrKZWmVb... | <image>As shown in the figure, in the diamond ABCD, AB = 15.0, angle ADC = 120.0, then the distance between the two points B and D is () | 15.0 | 561 | [
"15",
"\\frac{15}{2}\\sqrt{3}",
"7.5",
"15\\sqrt{3}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAABhCAAAAADe//EZAAAGPklEQVR4nMVaUWgcRRj+N/Wh5kUQIwqGahWyT3XVB1ciRCHaUxBSX1rlSq9Kmz5WQTgFQ4rg1aDtk0QFOcHGPJSmPl31qRVsrhXTSh96AW1NwOZqU7eCTTcks/P5MHu7d5u93dmZSzPkcrt78833zz/z/zP/P2uA9Mryt/uIYKiBuzTJV/f9S0SK5Nrsx489oYFWZhcjNn8tr0Guzm4QES2/9/b8oxvBTkREn47/t9RLGhMXGmWCiPpuajSg... | <image>As shown in the figure, in the diamond ABCD, two diagonal lines AC = 12.0, BD = 16.0, then the edge length of this diamond is () | 10.0 | 562 | [
"10",
"8",
"6",
"5"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKsAAAB1CAAAAAAUt06aAAALi0lEQVR4nL1cbVBc1Rl+DlHXtpnBH5vJpqFGDSlUMnaVOGJlhh3FZjtJcVvT0qmMIa1KphChJk43IwppyQRHbLCFFMe0aqVtZoINtkldJlFJhQ6OsYsdHBJdDE7UbgrTBHGaXT7u2x/3Y++9ez/PXvIM7N77nvec85z3vOfznruMwIN7/gJgxYfLuSLzIo8v2itVcaL7b/gcfEXlAyfX+bkg0HH7TjBP2ViDk+vr1wLAuve9pGILTq7H7waA... | <image>As shown in the figure, in the diamond ABCD, angle BAD = 80.0, the perpendicular bisector of AB intersects the diagonal AC at point F, E is the foot of perpendicular. Connect DF, then angle CDF is equal to () | 60.0 | 563 | [
"60^\\circ",
"65^\\circ",
"70^\\circ",
"80^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJYAAABjCAAAAABcNaaUAAALBUlEQVR4nMWbbWgcxxnHn3XsJA1plLbr9lIESmoFlKhQUaVUNE5VitwqjS5VqVp/Ma2gJoY40BR8RgYVBeIPaquUBBSiiyl1qQqmUWsITnBzKlWITQT+cCmIqMQnR0F1OVuNfdb5pNvV7vz6YXfvdk/3sqe7On/s252ZZ2f+88zLM8/MSEOaitkH9viDaNvLZkczuPiwz3tBKYWgtpdNk2kdjbrKarARtKY2YnzPPi8/ENE0tc16N1VbS9oD... | <image>As shown in the figure, in the diamond ABCD, angle B = 60.0, AB = 2.0, E and F are the midpoints of BC and CD respectively, connect AE, EF, and AF, then the perimeter of triangle AEF is () | 3\sqrt{3}cm | 564 | [
"2\\sqrt{3}cm",
"3\\sqrt{3}cm",
"4\\sqrt{3}cm",
"3cm"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG4AAABUCAAAAABG0V3sAAAEuElEQVR4nM3aT4gbVRwH8G/SMrSnbi4aMQsR6joahHgozaWw6KELBbsgsumtF9nQPbh7WNiDhwqFKgoVdN3dg3U9bSqyrQcVD9VAhK4XU2w1CwoBDcQKWtpLnGHj10Mm/2be+72ZSSi+XbKTN5P55veZ914SsgniUbbkI03TxnVKiUQikZi+M+E86truMnmwiHXtAZFa7UuS5GHxuRzaPH751PMTKKqz2Zo9CvO1Kx6rTiANrYc//IoQcY89... | <image>As shown in the figure, in parallelogram ABCD, BC = BD, angle C = 65.0, then the degree of angle ADB is () | 50.0 | 565 | [
"25^\\circ",
"35^\\circ",
"50^\\circ",
"60^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALYAAACCCAAAAADOcG1jAAAKdElEQVR4nM1cf2xVVx3/nMLsRLRLfNA3KOBocQ9QfDKMmLE9zJpYMhL6BwkUMZbIFOkWS0VXFsYPQe20jhpKJIOER2STJczWiAgJZC0QxEBsZR0P4mNgWpNHmK4Vpq/r4378474ffe/dH+fcc1v8pH3v3vPjez7n88459/y6RxAaoFjzGwDAiWU6ZtRRohVb4I26GDmy8Gmf6MhChzYBpEZCeG1i9Sf84iMJHdoCwIWlGLiOV/yiIwu9QgLc... | <image>As shown in the figure, in parallelogram ABCD, AB = 6.0, BC = 8.0, the bisector of angle C intersects AD at E, and intersects the extended line of BA at F, then the value of AE + AF is equal to () | 4.0 | 566 | [
"2",
"3",
"4",
"6"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARsAAABgCAAAAAAI1IlLAAAKw0lEQVR4nM1cf0xV1x3/nKfpnSkrJLJSM50/HsaHkiBKpp214IBiV55lkU0z3Wo64D1qOzUTlQiRRpaBEMXYRR5i1k6badZFJzKj75lglIqRRpphwfCebTO6xZYltbCtdyl898e9774fvMe7Pw98TLz3nHfO/Xz53u/5nu/53nMvI/AEMd9iOzGunJoRlM/GlRQMhcAMV40iH1fdMKDKaefJqAubGLMxxlc3BLQVdXAk1IlLTv8EVTHM5sjJ... | <image>As shown in the figure, in parallelogram ABCD, AE perpendicular BC is at E, AF perpendicular DC and it intersects the extended line of DC at point F, and angle EAF = 60.0, then angle B is equal to () | 60.0 | 567 | [
"60^\\circ",
"50^\\circ",
"70^\\circ",
"65^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKUAAABZCAAAAAB6ELtkAAAG+0lEQVR4nM1bT2xURRj/ZkNs6QVJbKiassU0sie6eHFjYqopEDworQdJTNUiAYIXthgFY6T0YkOjLTGBFqLWRCoGYqsXmniwHsQWEZf0IMTU0prQLakgROm+tjg/D+/Pvrfv3/fevl38pd3OzPs685vffDPzzeyuAPEAQcrnu5jG0QBCT8W4/yJoedftkpBxb7JTiJgQuwOwJDp7qp4rfEToOLzpHyz8unmBz3LmeiuJ8tJcntxSRSsHp46x... | <image>As shown in the figure, in parallelogram ABCD, AE bisects angle BAD, if CE = 3.0, AB = 4.0, then the perimeter of parallelogram ABCD is () | 22.0 | 568 | [
"20cm",
"21cm",
"22cm",
"23cm"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKcAAABOCAAAAABgNll6AAAKa0lEQVR4nMVae4xcVR3+zrlzZ2gLmGBaVEpIK09Ll3ahUkqAAKUlgFURkGoDJGgIiqHlJcSI4aEYykOFKGxIEChE/AOBUCJFKxbLywiFkpCygH1SukFSu929955zfr/PP+7M7nR3Z+bu7mz8djM7O3Me3/m9zznXEIVAAyD57bXFWrcftnUTAoAh4C/eM9F0GqI1TxoAgAEefvbIiaYzZOrBt615mtqbD7YumRA2zaa+zhhj7MUAWBTJ2T2d... | <image>As shown in the figure, in parallelogram ABCD, AE bisects angle BAD, and it is known that angle AEB = 63.0, then the degree of angle D is () | 54.0 | 569 | [
"63^\\circ",
"72^\\circ",
"54^\\circ",
"60^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKkAAABNCAAAAAD4axtnAAAIiElEQVR4nL2afWgb5x3Hf2d38T/azJjMFHaLOvsya/MCavyPSzTsDZdoxUtd5lYdeMMBJxr1Xgw2iwcG/5M/BNVGGI7n1YM5JDBBTNNtZpGZaTzqUlOXKARtJovraNWyuhOsJhpMsXX33R93ujfdy3OylC9+uef1Ps/vnntefvdwIE964Q8cqG3H561UPdTkMf/vz9wGvt/+34bAOMor6cF+mCj57EQjWJzllfStY0REx//eABRbXea4bxyM... | <image>As shown in the figure, in parallelogram ABCD, the diagonal AC and BD intersect at point O, AC = 10.0, BD = 6.0, AD = 4.0, then the area of parallelogram ABCD is () | 24.0 | 570 | [
"12",
"12\\sqrt{3}",
"24",
"30"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAABTCAAAAADSYDh4AAAHsklEQVR4nM2aT2xURRzHf69BPUioyjYuYWGhVBetyhI8QFojIU2shhSMVQ40dom1JNbEVYoSQ9ILBw4QqwECVmIPJILUVEwhW0FoYjlxWEyIDdLCJpWksVG3vCY+6DpfD+/fvP8zS5f4DXR335uZ3+f9vjOzb2afAvqfassPRFRzc2GVZL3hq0REoMpf2JmWPPB27awiF2ru+VNrKkTkCdVyTiHaskQyh3uTqyrD49XF5QoRPXVDjvBI+nZl... | <image>As shown in the figure, the diagonal of the parallelogram ABCD intersects at the point O, and AB = 6.0, the perimeter of triangle OCD is 19.0, then the sum of the two diagonals of parallelogram ABCD is () | 26.0 | 571 | [
"13",
"25",
"26",
"38"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGsAAABOCAAAAAACtbdVAAAE1ElEQVR4nLWZUWgcRRjH/3PJWrEHeQmlQpOQUjRpIQZUEFo9sRFKiij0Dr3GJ9GnUtB7UPFBwQffahTS9yuedc9czEPPC0jFXB+0RfJmc4rYCndoQ4o+JJW6c9nPh7nZu9udmUtmzy/HbW5nd/7z/eabnW9nGEFr1w5M6AstLKEvap4HDC3ZvclKDFofjY6C9UNLVqLXuvTYH33xqm0aLUJj+/ED+/ujcZYxxkb+0WkxfHoOR/sjhcvZGtFr... | <image>As shown in the figure, in the parallelogram ABCD, if angle B = 60.0, then angle D is equal to () | 60.0 | 572 | [
"30^\\circ",
"45^\\circ",
"60^\\circ",
"90^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAACZCAAAAADI/AFTAAAKOUlEQVR4nMWcf1BU1xXHvxfWkmk3TWbCJKZsdOrakcRKSULHNv7AFhOwygwpmGURGtLBAoMOBmmwE1A6YoONRGlxhLo2MK6CBadmVJRpmBEbYpjRyhgT6MQfad3OSEvb6XRNwX3s6R9vf8m+H/fdt66HGfa9++69n733nvvr3POWEUwJsfOPp4omTjDHBpM2E0QLYBaOX8yfDxZ3uFzcrrS/CedgAs4AwOPNePzLDwAOAPh1FT0jntocvOuX... | <image>As shown in the figure, in the parallelogram ABCD, it is known that angle AOB = 90.0, AC = 8.0, AD = 5.0, then the length of BD is () | 6.0 | 573 | [
"3cm",
"4cm",
"6cm",
"8cm"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAABUCAAAAADPZQjAAAAG5klEQVR4nMWbX2gURxzHfxuKQrmSlxNPepqaRBNQmhNfIl5JChZOkGiLeA9NwYJ4D3kwtELSYkmhgkerkIdEY33QhzxcG8Eq0m5QrG2uYAn1Ikhj20SPHpbolZJ6ebhebufbh92927v9N7u3q1+Sy+7cb2c+M/Ob+c3ObgSQrSAoB9PrI/bWXquJw0YFXD3mJ0mdoP7hIVR1YlO7LzCGEmRGwZ4Qlc9zkb/8haqTwmhLKKif2We71gV8htJq... | <image>As shown in the figure, in parallelogram ABCD, CE perpendicular AB, the foot of perpendicular is E, if angle A = 115.0, then angle BCE is equal to () | 25.0 | 574 | [
"65^\\circ",
"25^\\circ",
"30^\\circ",
"15^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMwAAABVCAAAAAAgIFSlAAAHY0lEQVR4nM1bW2wUVRj+zlpR0QQfGl3NUhRrXMQgpi+YqEsiD0UhNvEGqOGi+GAxFryREC2oMRpNvIREDF5KxFs04aWARJpQgogxCkq1GgFR16SxXraKtaczez4fZvYy3dnZOTtn2n7JtjvnnP+f/5vzzbn8OyOI0KAA9p+XBihAEd7Oz9OydwGgdXcUL+VxAQASGkYCsO8HCAFE4gKBd5b2k/svj+SlLC4AAHXIAHh6RlNEHgAIwLbS9utX... | <image>As shown in the figure, in the parallelogram ABCD, CE bisects angle BCD and it intersects the AD edge at point E, and DE = 3.0, then the length of AB is () | 3.0 | 575 | [
"1",
"2",
"3",
"6"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKYAAABQCAAAAAC2KFGvAAAIE0lEQVR4nL2aX2hb1x3Hf/KylzLQoOqidvKUGI2IFVzTvOTBSwYrTCzZMMwsuPPI7TAEqg2Ea0Y2spiysAWWMTM8KHgPCmQjD2N5mOp6I9nsTe1CCxWEUvnBbcVkiKjpej0lnXbP1fnu4V7dfzr33nNkyd8XX13dc34fn+/5nXvPTzcBUtDfP5dXuXx4GlO52PzBqDDipIT5s+wXRsURIZAa5o1nWqNCiVKClDB3H558/LGRwYgEej6RSIyN... | <image>In parallelogram ABCD, the diagonal AC and BD intersect at the point O, angle DAC = 42.0, angle CBD = 23.0, then angle COD is () | 65.0 | 576 | [
"61^\\circ",
"63^\\circ",
"65^\\circ",
"67^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKQAAABOCAAAAACLAeJ5AAAIjUlEQVR4nL2bfWhb1xnG3+sWspqB/qjMlHE9ZZ5K1AWGm6xgFneBze3MSLoUvAU6ZRFN7GTVBoJmUJiHHAgjdQPzwHQdXsGlslcW12GgLC7LqMfc4ZEaQ5cshTiNvLSpFqVUQfGscyWdZ3/cK93ve8+1rT0gW/frnJ/e5573nvfIlkCigkSVNwaFT99CtYmfKlF18F7rSDwUAJLoXPYrreJwkO5xEMjVjw9vPYqbQBIRVNIAkJWfHc1HW8Vk... | <image>As shown in the figure, the diagonals AC and BD of the parallelogram ABCD intersect at point O, point E is the midpoint of CD, and the perimeter of triangle ABD is 16.0, then the perimeter of triangle DOE is () | 8.0 | 577 | [
"8cm",
"10cm",
"12cm",
"16cm"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMAAAABlCAAAAAA+ZrOGAAAJpElEQVR4nM1cf2wUxxX+ZgGFpJQEYuLjRwrNXWIQUnyhaQNSWruKI0xCwShEQWrUOG2FIxEoIVSxVBSImjRGpQ5pi3HVSIAKalUIUdoUmwTFuFIlFFSOtjSAMDYRUrCr1hgcCft8O1//2Nu7tW9vd2Z3D/PJvtudnbf73pt5b2bemz1QDysAYMag1CSz0I5q+6Ap0A1Iyty3SUoSujdYcYrcNGMw2NPbLcJ0xcFg9CRp2iLsAqqH1xtQBwGk... | <image>As shown in the figure, in parallelogram ABCD, BM is the bisector of angle ABC and it intersects CD at point M, and MC = 2.0, the perimeter of parallelogram ABCD is 14.0, then DM is equal to () | 3.0 | 578 | [
"1",
"2",
"3",
"4"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKUAAABSCAAAAAAQ10unAAAJLElEQVR4nL1ba2wU1xX+zniN8RoTqHAJiaFA3GLXRg3ISAinqlJM4qpNDIWqqDhFeRRvmyAbUdr8qAqW2tSNIoFaqBJFERDWFFQgiqLFtE3ilu4m0MRpihcwwVD8A0MLK1hj12vWzOmPO7OP2Xncu7b7yVrPzj333m/OOffcc2Zmwf937ACAsm6VLsSQBZO0qDvaTr7jbwu/7ZefVZMfXJBMvJ4HrywkP2vwo+GfvdKzsgpLAODkD24r07Jg... | <image>As shown in the figure, P is a point of parallelogram ABCD. Given that S~triangle ABP~ = 3.0, S~triangle PDC~ = 2.0, then the area of the parallelogram ABCD is () | 10.0 | 579 | [
"6",
"8",
"10",
"无法确定"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKMAAABUCAAAAADLkNj9AAAGv0lEQVR4nM2bT2wUVRzHv68xYmgT8ECssthAF6uJhj0Se2iNHIrithpIPBhlSYSDB4qYyIEENJpwQKjCEjwJiQlISapmC1uJUhCit4WEg38KrAcE/yRsu5qUtszXw/zZ+fNm5r3Z2cRP0t3ZmTfv99vf9/3evN/OVBD/Vzj0NYBlNzratE+duJK6N3LEV/kK+fpT/wiNOFIAmH/mZK5VXvmYz58FMNipE0cBALsfz7bGoyDfdQHA6l/0tCaO... | <image>As shown in the figure, in parallelogram ABCD, AE bisects angle BAD and it intersects BC at point E. If AD = 8.0, EC = 2.0, then the length of AB is () | 6.0 | 580 | [
"10",
"8",
"6",
"4"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAO8AAABlCAAAAACAMOvbAAAJeklEQVR4nM2cXWwcVxXH/+N1FQGRUlRLXZRFpvZWMg0lLo5EWrtK1bjUlN0QCYdQGglHpDHIEgRqR0UKNBJGpIkfUuEKO+bBVd3Wwi4WsVWZeF2ZyAVLK9VBdeUIdkMVF0i6fnCwRVfq7P3zMLvrsffDc2fP2P5Jq/m859wz994z537MGoQEh0YBIHwZNETkeUaZjJjL4Rg5UQNsc3Ol7AWqcakxKCXMO4TsnQzhUhVOygjzEiF7461G630y... | <image>As shown in the figure, in the parallelogram ABCD, the straight line CE perpendicular AB passing through the point C, the foot of perpendicular is E, if angle EAD = 54.0, then the degree of angle BCE is () | 36.0 | 581 | [
"54^\\circ",
"36^\\circ",
"46^\\circ",
"126^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIMAAABvCAAAAADqcCxDAAAH+ElEQVR4nMVbbWhkVxl+bpJCavrDqUy7zY5GIlJ2TWuDJLQGnf1hpjDC7kqEjT/clqSL8SOtCcIawaAGNa3O7BKEWWiTLAsyCmZp+sNtg2klKpFOzYJZIqJphZ0S8ccMa36szdx7H3/c+czcc8975gb2gZm593y897nve8573/OeOxZxz9F2rwmgnsM7799zDu6Xjlbw05ZlWQ+VjDh89+GHjpTDG4k8+dXjEhIVDlfjxSOlAPfucSD16Qk5... | <image>As shown in the figure, in parallelogram ABCD, BD = CD, angle C = 70.0, AE perpendicular BD at point E, then the degree of angle BAE is () | 20.0 | 582 | [
"20^\\circ",
"30^\\circ",
"40^\\circ",
"50^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAABVCAAAAAAEOdtlAAAJyUlEQVR4nLVab2gcxxV/47/QmF5azvRCzrlElmsFg3Ou+0Fp3Co1jnVu3bPqivpDRHMOQU5zba1UIQhqUAuB3AelloslnAiKCg2YSEHUvohT7caiqGBw6dnU7ZHGyl0RaUUEYeMz8Xl3Nb9+mN27Pe3u7cya/j7c7c682ffbefPnvTdLCAUuJTVIRMVXq+FU2FhHocAkZCrsDoBhbQsRwmkhIpAqQzT9tYKeyp0jojNtJPdC3mBECv3dQ0S0... | <image>As shown in the figure, P is a point in the parallelogram ABCD, and cross point P to draw the parallel line of AB and AD to intersect the parallelogram at the four points of E, F, G, and H. If S~AHPE~ = 3.0, S~PFCG~ = 5.0 , Then S~triangle PBD~ is () | 1.0 | 583 | [
"1.5",
"1",
"2.5",
"3"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK4AAABSCAAAAADoN7BQAAAHKElEQVR4nMWba2wUVRiG37PgJdjIDxdcyRZsE8NqSTUSY6NgJVapsYk1MdEipkTFNhFirTfijaJEMKkGw6oQY9wqYo1G+FF7CZB0QRTEKxYWEiyN02CxhKC0uGR3zuuPme3udi9zRmbGJ+3unu+cmXnnO9+5zDm7glBm98xQOkGhfqBz+NSLJlcC6Zv7X9Takfv67NnZIkkbVXPhEHbkdlx/YpI64a2HBZTlEsNj82de5qqcYldfIoTwlZ5T... | <image>As shown in the figure, in parallelogram ABCD, angle A = 120.0, then angle 1 = () | 60.0 | 584 | [
"80^\\circ",
"60^\\circ",
"45^\\circ",
"30^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAABUCAAAAADPZQjAAAAHGUlEQVR4nMWbT2gUVxzHfxOKQtmSy4qRjqaaaAKWZsVLxJSkYGGVEq2IOTQFC8E9eDC0gmmxWKjg0irkkGisBz3ksG0Eq0i7QbHapGCRuhGksa3RpUGrbCmp62H7ZvZ9e5iZ3dnZ+fNmMqMfyOzM2zdvPvP+z9uJBPIEkr4zuTzhHTtsGgTiGILK/ihNLMD4EDE0OLSqNRIZWyTNUfI2RGV7MvEoWikLuqOnoWRs8083LYtFLGVmuyQ1SCuf... | <image>As shown in the figure, in parallelogram ABCD, CE perpendicular AB, point E is the foot of perpendicular, if angle D = 55.0, then angle BCE = () | 35.0 | 585 | [
"55^\\circ",
"35^\\circ",
"25^\\circ",
"30^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIkAAABYCAAAAADkLYufAAAIbklEQVR4nMWaf2gb5xnHv6+SUeoIxJi7me0StcYjWk2D2rU0sHT2Fo86rUMCy8jchsUbKyFzN3teWAMLGVm9ErY1GGpYS/qH0mQlsEApKHbCamIVNynkD6VZWmUsjUPlUoOzRUY2+E6n97s/TiefpLvTvbJgD+h89/7y532e933e533vQDWRTGUUq9SRfgDQlhmCmgjzlwQVK/nK2/03yZ9tXl6vWvGVaBSimSRmYTNw7N9Hg+vEUsSpLZ83... | <image>As shown in the figure, in parallelogram ABCD, angle ABC = 60.0, AB = BC = 4.0, points M and N are on edges BC and CD respectively, and angle MAN = 60.0, then the area of the quadrilateral AMCN is () | 4\sqrt{3}cm² | 586 | [
"4\\sqrt{3}cm²",
"2\\sqrt{3}cm²",
"8\\sqrt{3}cm²",
"8cm²"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK8AAABcCAAAAAA9/7oeAAAJt0lEQVR4nMVbW2wU1xn+h7rFpFYRiUz8QHFwoF4pUhnoJWsaZRNVCdtWdYwUgZ2HsqhRTB+imlIJqqpLaR4cqcEPVVRTR8qCRDB9KESoNpVaYUKULu1DTF+yIINJgLI4VTZJnTKOz/p8fZjLzuWcM2fGXD7J9syZc/nmnP//zzf/jAl64Jr11J3sJiIiOpK+vybSg6FZT93JK3TjKLGta1L3hyVxFXy/Fw829QM68PkzaxP36FY34vgaRNaB... | <image>As shown in the figure, in the parallelogram ABCD, AB = 4.0, BC = 6.0, and the perpendicular bisector of AC intersects AD at point E, then the perimeter of triangle CDE is () | 10.0 | 587 | [
"7",
"10",
"11",
"12"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAM0AAABmCAAAAABNDEqYAAALSUlEQVR4nM1cf2wT1x3/voTC/rBqVTXDDBe31Cte20lG/AFtzZIOOtyVplFnGqqyDTZEtEGVaGWCSXRsWqqmEpNAAhrEprKtVWFJR3+gzRGFssmdguhq2jKlm5JhGrYmczqiOVLt8+V99sfd2Wf77nzv7tLsI9m+9+v73ue973vve993Zwb6P8MjrxMRtb7lpGyTt03xAK+1ZYDUHUJltCHxgs0jjDH2+WkPJBERleRY6eBX7xQoAWIqIS/Y... | <image>As shown in the figure, in parallelogram ABCD, AD = 3.0, DC = 5.0, and the perpendicular bisector of BD intersects BD at point E, then the perimeter of triangle BCE is () | 8.0 | 588 | [
"6",
"8",
"9",
"10"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKgAAABbCAAAAADCJpHfAAAKW0lEQVR4nMVbXWgc1xU+I6dRSwXbhzUe8LaLHLUoXVNEFMeiXntcqjQyVaiCVdxStV63KobqRbS7rkoEfnFBbReqBxWLKtSrdAMqVWsCSqOACuuVAjIOWajlqBR5JWcN3rIvamTSTTNzvz7MzO783Tuzq3X8oZ+ZO+fe75tz5p65986MBBIAkuhowzh9g4hIyTVTt014tLU6KacUgdXnmqrLFSr0dNPopPl4rKnWpQBVWnYBrBbPzx852Vxd... | <image>As shown in the figure, the perimeter of parallelogram ABCD is 10.0, AC and BD intersect at point O, and OE perpendicular AC and it intersects AD at E, then the perimeter of triangle DCE is () | 5.0 | 589 | [
"4cm",
"6cm",
"8cm",
"5cm"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAM0AAABECAAAAAAHaO6lAAAFdElEQVR4nN2aX2hTVxzHv+dW9lTYSzo7Ku1Wo2n3FIcbFcdqcbIMtFNW2dugTDuZg1Z8cDBBxyoMVNgGOrTKngaD+uJoJVGZPmxs3Qax0IIbrYuKe6mMzQxsveec7x5ubnLrmjT35uSU7QNJc//ke/o753d/v19+9wqiZigKHzKrk7Wrheb1rwE03WoE4BiQ841xBw2Ihedib5Z8q/1vmLHG53Br3KBa1biPksCJTQdhwBoW3z9P/l6rWCSu... | <image>As shown in the figure, in the parallelogram ABCD, it is known that AB = 6.0, BC = 9.0, angle B = 30.0, then the area of the parallelogram ABCD is () | 27.0 | 590 | [
"12",
"18",
"27",
"54"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAABWCAAAAACCranLAAAG0ElEQVR4nM1bXWgcVRQ+EyqifUiFVUO6GlpWGhqNSvqixkZoCikNWDDSpg10owWFrbKWiCKxpRDEh9QWLNR/VqxSMNAHN6mljSQhVaGC0Fa30KDiphKI4KZbbXS39/NhZnd+dn7Omd0VPxIyO3Punm/ud8+598zcEP5TbCcioh62vVJoICag/5m5bB7LACKiE/0ZYGY9x36npmnavTeIzVAjIqLiCyCCFoakRkRULLQWP3yExfCz/gzwzLq/... | <image>As shown in the figure, in parallelogram ABCD, angle AEB = 36.0, BE bisectes angle ABC, then angle C is equal to () | 108.0 | 591 | [
"36^\\circ",
"72^\\circ",
"108^\\circ",
"144^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJgAAABMCAAAAAC0BiHEAAAH9klEQVR4nLWab2gb5x3HfzJ5MdJRwZDXK6gRJM64zuBp84v6hYsDNZ0ywqaCQLikVC2mhoVSRQ3FLYm1dmExndnE8AuD9+JcSutSURfaOi5NwM7MJmg3QQm5wEwRk8cEhkagpJJr5fnuxf3RnXTPPY8U+Ufi5+6558/nfs9z33t+9ygAchkCdKj27PtEFL79kLDgABE52Q6Zi96b0oEX1e+EBQdMmBu3D5nItOaBSvTmk5eEBQfM8i8fMpBl... | <image>As shown in the figure, the diagonal of the parallelogram ABCD intersects at the point O, and AB = 5.0, the perimeter of triangle OCD is 23.0, then the sum of the two diagonals of the parallelogram ABCD is () | 36.0 | 592 | [
"18",
"28",
"36",
"46"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK0AAABJCAAAAABqEfkLAAAIV0lEQVR4nL2abWhb1xnHH9lhXowzrUwGUZSppFqjTJCYeB8MdXBZlZGB19lUw2yVG31IljLB5jAX8sFgDzxwW8M6pjGn3pjH7GCYa5Mt7TJQN284TMEzhsTUgymLMq+piFOi1fO1bKvnvw/3nqt7r+6VzlGk/fHLfXnOc373nHvennsIEhohIqJvyySprVwgCY3cuHpwN3zwarNMohqqQcZ4/85XmunTM//8ab1oKkmK9v7y8+SiJzvS9aIp... | <image>As shown in the figure, in parallelogram ABCD, the diagonal AC and BD intersect at point O, if AC = 12.0, BD = 8.0, AB = 7.0, then the perimeter of triangle OAB is () | 17.0 | 593 | [
"15",
"17",
"21",
"27"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJsAAABfCAAAAADac+ryAAAOGUlEQVR4nLWbe7BdVX3H1977nHMTKTJ5DCGvSwiJUcAWUKpiQCClYgcKOkJRII8RsAIBgWRgLFSp1dFp5dFqoc6ghEfV6ghFHgYFEnIDDbSdgU5EaAIkPAIx5HEf5+y91u/3+/SPfW5yc+8+5+4Dh+/ce2fu2Xvt/d2/9Xt9114nwnUAi6Xish6nCVH+T5cRKlGoOuc0cRLFHQ6uuNBjkrjIyXtBrRpJNTh1MaGSRB3ZzUksNeccoeY0jjTp... | <image>The perimeter of the parallelogram ABCD is 28.0, AC and BD intersect at point O, the perimeter of triangle AOB is 4.0 larger than the perimeter of triangle OBC, then AB is equal to () | 9.0 | 594 | [
"8cm",
"9cm",
"10cm",
"11cm"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKQAAABOCAAAAACLAeJ5AAAJcElEQVR4nL1aa2gc1xU+Mw5p7Bb2R9btullnjZCrNYai2C1xsYzBqK1onWCMUoMi6iG24tRL8bq4kFJXcpoUHMUUBdw0VAnIZOWYWnIprByncahKlOJnVYqwSqO4I0RqZe2adVeOVqO99+uPec/O4669yod2tHtf55tz7jn3njsjgUTBJan8Vpdw87oAEhGRLN5elha77iwZHX9IICKIk5SITucalo5PFbghlSRxkkTTn3QuDR1/yEScOAi1... | <image>As shown in the figure, in the parallelogram ABCD, the diagonal AC and BD intersect at point O, and cross O point to draw OE parallel BC and it intersects DC at point E. If OE = 2.5, then the length of AD is () | 5.0 | 595 | [
"2.5",
"5",
"10",
"15"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGUAAABgCAAAAAAh2uOgAAAI00lEQVR4nK2abWxT1xnH/zelisSiuUihXE2GdJAOU6cQ6iAizchBpcLtMokPqbK0VMs2Jj5E3RhLJVQhoBPrMg2paKJTplSqu9KNjXSZ1DQELVucLBGpTJd0JHUmAoSZiqAgkdRhguXe+9+H+/5mO04eKco5z3n5nfPc5zznnnMtEKAADD4eUhPLFc8+SgAIgPQqQKwAxLuPEvXfmxUbVoLBlwRBENb/15vy3rYvlo8AIPy+KU1+f/N9L8qt... | <image>As shown in the figure, the diagonal AC and BD of the parallelogram ABCD intersect at the point O, AB = 7.0, AC = 10.0, the perimeter of triangle ABO is 16.0, then the length of the diagonal BD is equal to () | 8.0 | 596 | [
"4",
"5",
"6",
"8"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALMAAABWCAAAAACh9vgeAAAa5klEQVR4nNWbf3RUVZbvd92bSpHqMtWExFC9IJmQhCHmIRhXhiw6C1oFVCBtRpE8aMmgppsn9Kj0Iq0+hV4tivKzERnlRy+FpQLPhnSLpJ8KGSSDSugHmYVCBggxTZlJcukqL3Wpe0+dnH2/748k/A6J3U73e3sla92q3HPO536zzz77/LgeUD8GD5HweKCRDpdcIiLywdNfsW/D4PZc6Je+czXy9MtMRKRAGlEvJy6v47/Uepm1K77Vrr3x... | <image>As shown in the figure, E is any point in parallelogram ABCD, if S~quadrilateral ABCD~ = 6.0, then the area of the shaded part in the figure is () | 3.0 | 597 | [
"2",
"3",
"4",
"5"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAP4AAACOCAAAAAA03+pMAAAM9ElEQVR4nOVdf3AU1R3/PMSxRabB9kZjOUjUdDiRgVQ6NVZtaEvHU5kSWxwMMpPEisFChwDWolUTNCPY8suKJYrW4IDQqRpmGn7NQEkENdQZgzb2QgdM0lw7YYgSTJjJmWQ//WP37vb29vZ2794mXPIZuGPfvvfd99nv5333u+/2LYIYg6BYtBsA/ONGuicjAoE3iwNk4/SxSJ8ABgd8g6/9YEzSFwDe/xF2ZY//5VikDwBty0TpDcBYpX8o... | <image>As shown in the figure, in the parallelogram ABCD, AB = 4.0, the bisector of angle BAD and the extended line of BC intersect at point E, and DC at point F, and point F is the midpoint of DC, DG perpendicular AE, foot of perpendicular is G, if DG = 1.0, then the edge length of AE is () | 4\sqrt{3} | 598 | [
"2\\sqrt{3}",
"4\\sqrt{3}",
"4",
"8"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIIAAABtCAAAAABIeuZ2AAAKpUlEQVR4nLVba2wc1RX+7niCK7FhhbKpF2Xp0q4hLgZpaRIRips4ELChTuqQVAbVFLs8TJRIcWERRqQklbBIVCPTEiexoCIWSjHEYPH2NknjqI7kNkZ2q7h2ZFsYOWk2XRcCa6QYj+f0x8zszuzOztw7uN+P3Tv3cea755z7vsMIjiAGYsQsj9bkHMSLos4ysyC5pDOAgVkfrcnZmNshRMCdQhYo/ZMXO79X/H+lwACyq7rGiwDsj/7bCHJC... | <image>As shown in the figure, AB is the chord of circle O, passing point A to draw the tangent AC of circle O. If angle BAC = 55.0, then angle AOB is equal to () | 110.0 | 599 | [
"55^\\circ",
"90^\\circ",
"110^\\circ",
"120^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAL4AAABwCAAAAACF/ZWFAAALbElEQVR4nL1ca2wc1RX+xnhLpSyNU5Z6005YHK/FJgvUyAEiYVhDtqoFQYqEqyDVadYiKG3ND1fNRq4SyakUiQBB4YcRkaI269aoUeUqUQnFLqGsH7QhTkVaresg2+tEdpulTotTm9bxLnP6Y/YxM3tn5s5j8/3YnbmPc7975syZM/cxAsEq/vCk5SoVQ5XlGjd6Gk7c1M8mkPx3S2Cd/trRM38U4/N62QIEAC1VgiAITojxwTp9IHwy9eWH... | <image>As shown in the figure, the line segment AB crosses the center O, intersects circle O at points A and C, angle B = 30.0, and the straight line BD and circle O tangent to point D, then the degree of angle ADB is () | 120.0 | 600 | [
"150^\\circ",
"135^\\circ",
"120^\\circ",
"100^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ8AAABhCAAAAADt6CxVAAATuUlEQVR4nL1be3xUxfX/ztx79+5udjdZ8iAkQERAwPAMiA/QUBQrvgpWUVGpVBDtp0WQ6k+LRa0t2ocgvkorIgi0FH6Ajx+oPORVKyVCqBQtzxAIeUCS3Wz2dffeO9M/7r6z2d208DufTzZ7Z+ac850zM+eeOTNLOLpEX5VbOOkay39CUR20i4xXAZcYHgcHyDhCCCFdxvdkpeWSgIojAgJg1zgP53MISJfGd0X56C7Oh/+YbtgDYFxFl+zn... | <image>As shown in the figure, in the parallelogram ABCD, AC and BD are diagonals, BC = 6.0, and the height on BC is 4.0, then the area of the shaded part in the figure is () | 12.0 | 601 | [
"3",
"6",
"12",
"24"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJgAAABYCAAAAAAsQWFJAAAH0ElEQVR4nLVbYWwcxRl9YzZK5URKEBG1qktcjCtS0jqQoDYVBEfCBRtSkkqRWrut7FhEqRSQjFX408gurdRGFU2AuhUQVb1QFPqjKlV7PlTA4s4EWlEQKAq1pagB5EOyCJQzzqUOO9nXH7t3t7u3Ozuzxz357uZ2Z+Z7O2++mW/mxoIwAsXs1ZvNiqRDm2F+Ie8zfBRDDAkhxMaLxsTw887OVvCp4eTgHDl6XUWfmNtQJ7a+3ypKrgVpbwYe... | <image>As shown in the figure, the parallelogram ABCD is divided into 4.0 parallelograms. It is known that the three areas are 8.0, 10.0, and 30.0, then the area of the fourth parallelogram is () | 24.0 | 602 | [
"28",
"26",
"24",
"22"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKUAAABMCAAAAAApCyhMAAAHrUlEQVR4nMWaUWgcxxnHvw1pH5IS5eGSnuGUJeHSiAoUxWqJHy6kDw5ciENVKpLKFeQcnBR6ebgeegiNK6VJKA5JiVqECRwh11YthghM4OwIqhDJlonBBUFrciGI+pqT6VGV5OyT3dvcMf8+zO7d7N7M7oykc/5Ip93VzHy/nf9+szN7a4FMdO6uIaPyOxUs3+YtRpXbLxCR2XntTJa4CUPK39j3+Fq4ObLMKP80eqVfJOEyody8tv/u2/pG... | <image>As shown in the figure, the diagonal AC and BD of parallelogram ABCD intersect at point O, if AC + BD = 10.0, BC = 4.0, then the perimeter of triangle BOC is () | 9.0 | 603 | [
"8",
"9",
"10",
"14"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAL8AAABkCAAAAADyeL42AAANFklEQVR4nNVca2xcRxX+7oU/BVRLZKPcgIWJvYDBoLpRoUYEL1JdSMFujYiwAKuswaqLXMAVXhSJxCAIUqRGYIQlkhiRrTAQBHVRm4Ibp2gTIpoWIfdHWv/IrmsRUDdGogYjuu3uzMePua/dvY+5fiDxKXXvY+6Z7545c+bMnLlrEHGgEVvkIxcBIFOILbgdkKbvxAwt5sIAJAAg+FUJotBbIi/etg3kYqFISOdUgz8Aw/e3+Z4BoF3me9+7... | <image>As shown in the figure, in parallelogram ABCD, AC and BD intersect at point O, points E and F are on edges AD and BC respectively, and EF passes through point O. If AB = 3.0, BC = 5.0, EF = AB, then the perimeter of the quadrilateral CDEF is () | 11.0 | 604 | [
"8",
"9",
"10",
"11"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALMAAABVCAAAAAAnYoqwAAAJgUlEQVR4nL1bb2wcRxV/G7n9UCQC6gatyyWnJka5BJReU6QcYOUiJVLdKEJGWHJtIjhBij+4lUwUkROEukgWMm0RLljEIh84I5G6UoorFTkXkVA7OMhSJC70Q88oB7V0hp5ipJyxsznwZn582D+3tze7M7sb8VN8uZl98+a3b2bevHm7p4D+f4BC9PxbREQ091x0NdtkuqKHdGMKEc0MlIGtg9kYamQ4K/TH5RhdmID1Z2yl6JcdRx+LoUqG... | <image>As shown in the figure, the perpendicular bisector of the diagonal AC of the parallelogram ABCD and the edges BC and DA intersect at E and F, respectively, and connect CF. If the perimeter of the parallelogram ABCD is equal to 18.0, then the perimeter of triangle CDF is equal to () | 9.0 | 605 | [
"6cm",
"8cm",
"9cm",
"10cm"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGUAAAByCAAAAABvxEAwAAAHyElEQVR4nNWaf2wb5RnHv5dmA0YhwBx2m0xTNWbNFE0yKgiLUsKkUCJR1CKVGqpIKyJdJLJpRpu0/hHJgDpgWqZGUyqysQkjWSOVKoVpldY/ipJMhgSYyD8ZQY0rZcvYTFMUN2aKHd683/1xP3xn353vbEfaHiW27/y+7+f9vs/zPvfe61OIOmxWiQUq3xKYQLD4s4B1glMA5ZWbO7ebouDNXSLgONehZenaQ1+7abspm7//AcK3bDflD7+4... | <image>As shown in the figure, in triangle ABC, AB = AC, angle A = 40.0, draw an arc with C as the center and the length of CB as the radius, intersect AB at point D, connect CD, then angle ACD is equal to () | 30.0 | 606 | [
"20^\\circ",
"30^\\circ",
"40^\\circ",
"50^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABmCAAAAADZxiEvAAAI50lEQVR4nLVaf2wT5xl+zgRSFYOZaoQRtwU1RjFKtaUK1eiw6oRlW6Yhlo5I7I9szaSQTEulZsPSMilSmBZN0coGq5IuE52aSXTtgCmjjVZH5YepUg0trYymsBCRkIBBuDNrw5xKl2Du2R93du7su/PdkT1Kzvf9eO/53ve77/vue99PIOzh/pVrd+PA7B0CYiXW7hF31Hptyuog2GG8feG9+N3w5yuf8WJ7BcBb81icmE2Oi/UNDVtWn/Ha... | <image>As shown in the figure, in circle O, it is known that angle AOB = 110.0, C is a point on the circle, then angle ACB is () | 125.0 | 607 | [
"130^\\circ",
"125^\\circ",
"80^\\circ",
"50^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG8AAAB9CAAAAACJsGIsAAAL9klEQVR4nL1bf2ybxRl+Ppc6CMxMhVm94dZtE8AhVRWWICoWlHYNqlFbNVCz0DVbA0KqtrCRdmHrttIUDW2Z1o0wZVIYbJgJEBWukj8YNFMQydZOnYIWxlKc0rR1m0h1CYMwp8x23O/ZH98Pf7/9uR191CR3993dc/fevffjfa+gO4hxIDr/Y5e57eGBK0x73iOfW/hld7md4KpV86t2keTeN65I/4iXP/4pAFQtvwL9E8n5mt7L7pjr/gnA... | <image>As shown in the figure, CD is the diameter of circle O, chord DE parallel OA, if the degree of angle D is 50.0, then the degree of angle C is () | 25.0 | 608 | [
"25^\\circ",
"30^\\circ",
"40^\\circ",
"50^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHYAAACDCAAAAAB9k7BnAAAJU0lEQVR4nO2ba2wU1xXH/9d7E6MIsALFllKa4hizCWBMEQFsaFo5TnF5rgPEUAlUkIBUMYGggFMMWeNCUh5KqoQvJpKpqJQQ7MRLjAKhiCbFgHiIxvZCAQdTHhLdJebhdSMjj336YV8zO/fOaxfSSjkfvHfO2bu/Ofc19545ZoTvQ9K+F2oy2FLGGMtUHja2wRMgevkJR9wksNSdCVRPfv0hY/1uABjT+pCx9XMBYLSjus6x9MkkAPCPclKZ... | <image>As shown in the figure, BD is the diameter of circle O, points A and C are on circle O, and BD perpendicular AC, if the degree of arc AB is 60.0, then the degree of angle BDC is () | 30.0 | 609 | [
"60^\\circ",
"30^\\circ",
"35^\\circ",
"45^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGoAAAByCAAAAACezxu9AAALEElEQVR4nL1afWxb1RX/vZeWIAgYhAuuakjautQsUxZI0Soa5nYtUwrV1mkZIaiIdGKqtA4R2sDCFuoWKhGNolUiEpE6gYeABq1TKlG6TEtVR5StEEYqkeJWTYgjZ8MsbEvUdDOKfX/74773/J79vtKpO1Xqd8/9+N177rkf59wDXia1QgHClxZQQ8UCidrfW62fCv5o9b/911wwlKL95eejCvbd++wVhJJjAv50GwDc/ukVhVJAACc2AcDy... | <image>As shown in the figure, it is known that AB and AD are the chords of circle O, angle B = 20.0, point C is on chord AB, connect CO and extend CO to intersect circle O at point D, angle D = 15.0, then the degree of angle BAD is () | 35.0 | 610 | [
"30^\\circ",
"45^\\circ",
"20^\\circ",
"35^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHQAAABwCAAAAADqYAvtAAALDElEQVR4nL1af2wcxRV+6wBuhemBeq43yiZO8QVfMFEvXCiGGM5pjeQ/gmuJ0KitpV4qFKeKUA5Ci6nSOpX4w6iVSNW4TZUijBSJlEQ9EJFwWkMuxQi3Z3RGsbGjnLHTM+Rcp4rRHZK9Pu/XP/bX7O7s3g9TPkXO7cyb+d68mfd2dt4IoDXgfF2okmZVa+FcOVRZuzWRHtkU+NJJ/7D908oaroF0NtdcW/Mlk+K3z9JdlTWtnPSP/cI3Udna... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, and it is known that angle C = 60.0, then the degree of angle BAO is () | 30.0 | 611 | [
"15^\\circ",
"30^\\circ",
"60^\\circ",
"120^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALQAAABtCAAAAAAtlxQJAAALh0lEQVR4nNVcf3AU1R3/7CYz/NFoqp5wOFcjepTYWD0CFqqRpDVWpgqkY1rtkLahZUjHdITSpDLTEH92Jh1oTRUcOnTKzZSOjEQYhJGgsQYLGkG82KENOElIRW0AxQvBNrD33qd/7O7d3t3eEXJvD/uZyWT3vbff93nf/b7P2/fu7YKKIAXJ9UDVuYdIUqqy6wYdiqDpHNTepdw0aSpAaKrsukEZacD49rI/QLtuZRDeUlZK+o+n1wLADTcA... | <image>As shown in the figure, AB is the diameter of the semicircle, angle ABC = 50.0, point D is the midpoint of arc AC, then angle DAB is equal to () | 65.0 | 612 | [
"40^\\circ",
"50^\\circ",
"65^\\circ",
"70^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGwAAABnCAAAAADAyvjSAAALIklEQVR4nJ1af3BU1RX+7gM2bQ3uYBezDqspZDFLwSFOaLEl0wQTx8wU41rCoG0sOBMDGmaImg5xJmNiidN1BizUREOlBUaU0IQGpzpdZCmL0E6YaDeOYYg1acCEsjSpggtj9iW80z/e75/71m//2Hfvu+9+55x33r3n3nMZQQ9iMMOy0h7EjuUVWdRzhmZg0r8OTL3vBmx6q2X9bOtezZpcGxi6HAdGxgG2oABzVgUWF+da9UgMaL4raCmE... | <image>As shown in the figure, AB is the diameter of circle O, the chord CD and AB intersect, and angle ABC = 32.0, then the degree of angle CDB is () | 58.0 | 613 | [
"58^\\circ",
"32^\\circ",
"80^\\circ",
"64^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHgAAABGCAAAAAAifw/TAAAJhUlEQVR4nJ2ZbWxb1RnHn+shVUNQI9VR3crIiGSLp2hrapDI2k6pUCZldAtGdMuXrqQiw4NMo7SZFmk01aZozTQzVVOiBkXTMi2oZck6xAIJImKRKGqIpgRNHV5FCgYPMEFjXo1W38z3/Pbhvvhev4e/2tx7z33O+Z/nOed58T1CDSjzYtSSMdwShktWqXGRg/oPMVCqvJ9PakBDRERMGVwvKP71iYhoVrvPfARE3vX9DX67bbf4RNOkHDV1... | <image>As shown in the figure, arc AB is a semicircle. Connect AB, point O is the midpoint of AB, points C and D are on arc AB, connecting AD, CO, BC, BD, OD. If angle COD = 62.0 and AD parallel OC, then the size of angle ABD is () | 28.0 | 614 | [
"26^\\circ",
"28^\\circ",
"30^\\circ",
"32^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIIAAAB0CAAAAABso7UlAAANk0lEQVR4nK1bf2xb1RU+DzNcgZmH+rI8wMPtMMRdKtUlQXVXgzPWqWaE4oqwMNGJMKKmWqQRqWHLtrIwjYkgOi1sKUvXf7IpsIyUpYyAXBGBUdNhCOAgUhKGu2SkgJkzzcyZ+hzc9+2P98PP77fNvj+Sc9+9797P95573rn3nsuAagEYrWCSlh6eqA+Z1nVBTQyI0QkmafHhp/dZ1FUDBeN+0z6F/AdEdPCqgHl9FzpvWf6BjJQ8e2Z25STR... | <image>As shown in the figure, AB is the diameter of circle O, point C and point D are on circle O. Connect AC, BC, AD, CD, if angle BAC = 50.0, then the degree of angle ADC is equal to () | 40.0 | 615 | [
"30^\\circ",
"35^\\circ",
"40^\\circ",
"45^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAABkCAAAAACpnOFCAAAISElEQVR4nL1af2wbVx3/+PyjluhWAys1aFtuCKilVvSoimSJablOSPV+qDoQalMJSAoSdf/Ylk6IFokpjTQtdDDS/JWU/REmkJIhjXgSXdI/2DmiVaJ2Ii4gxQW1vlAkZ1ojm6Zgn+3zlz/OZ/t+3zlRP3/47n3fu/u8z7v3vu+973OA8BDBPEwye7bmzwOBQODpB9tLR3ZQfikRzXxj07ZAD7BvSUX5PHDsxV9vpzR7truhCMCwa7WHwnb9... | <image>As shown in the figure, AB is the diameter of circle O, angle AOC = 140.0, then angle D is () | 20.0 | 616 | [
"40^\\circ",
"30^\\circ",
"20^\\circ",
"70^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHQAAACECAAAAABkY1DiAAAN2klEQVR4nL1bbWxb13l+DvVh2R1ie4gRpq1Fye0mGsXqq3aY6QYZJcdJ7QKbyQatP+DYVNcq8lIkdIHUCTpR0n5kjTJY8dBNzraUShBVNQZT6Z8oaNFI7pqaRWaR8Y+ITmN9tKipxJ3kFFFIkdJ99uN+8F7y8vKSyvL+0D08X8/7vuec97znPUeCqJYogNUXv1V1uwK5amqV/+byBjBrARXAf730Zx8zKLDw+xMbwawJdPXxbyx4Pm7QZ/7t... | <image>As shown in the figure, in circle O, the diameter AB perpendicular chord CD at point H, E is the point on circle O, if angle BEC = 25.0, then the degree of angle BAD is () | 25.0 | 617 | [
"65^\\circ",
"50^\\circ",
"25^\\circ",
"12.5^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHsAAABtCAAAAACkI0ElAAALY0lEQVR4nMVbf2yU9Rn/vHcoizacjENPeLsDe+hhXS0iUgG94qqt02VdwlYxNes2M0zIZmnQsA17aFhkmS4Y6yRhi51hG3/UFBfCSizziiUUi7Fqa4tcoXhHOFcNRYrp0rvvZ3+873v3vu+97937QqNPuL7fn8/n+zzf5/v7AXRC6wFAnnRU1jl5UIQIAH9vGCZ/Hv6qWGF3VBRbAoDMdBh49p5nvmZsAMDR7xDAko+/CezuByQAN80stDPs... | <image>As shown in the figure, AB is the diameter of circle O, CD is the chord of circle O, angle ABD = 53.0, then angle BCD is () | 37.0 | 618 | [
"37^\\circ",
"47^\\circ",
"45^\\circ",
"53^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABtCAAAAACzAdHsAAAKhElEQVR4nL1ab2xbVxU/droVaWGeqKNaqyd3xFU8GYRHOlFYVKejSEFUXQqp8oEMuaKtRY00V2TISJUMUj54UtkyKR2FgBqmDioa8Dal4GjZ6kI/RDLIG8uaVHNJNrfUYIHcOZN8Y+f++PD++P31e05Tfl/eu/fde3/nnHvfufeeex2g/zO22C96552l21miG7dA5O2m+5707urtbJ/RYU/Hm2+/mb3d90j3E52000dEH67Qau5G8ap33/79... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, angle AOB = 60.0, then the degree of angle C is () | 30.0 | 619 | [
"25^\\circ",
"30^\\circ",
"35^\\circ",
"40^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGoAAABxCAAAAAAYW2kTAAAKcUlEQVR4nL1ab2hb1xU/cpP2w1xU2mf6xjS8xipWZ5aKet1C404u84jLTFCZhzcwqwNp/MGDqks2XDBRP+SDWTPqD3ZxCQWXeVtovaqMdlWpu6rggMEdSsGpk1aZ1blrlDks6pQx5b2n+9uH+97T+3Pv05/ADv4jnfvnd+65595z7rmX0DodJiJ6reVm1AYUO/wq3qZ8q806qHUyLj9OMWq5ZTtQfznYSU8f299yuzYUuEBEH7XerJ1RvfsR... | <image>As shown in the figure, points A, B, and C are three points on circle O, angle AOC = 110.0, then angle ABC is equal to () | 55.0 | 620 | [
"70^\\circ",
"65^\\circ",
"55^\\circ",
"50^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAAB9CAAAAABxUJnbAAAMxUlEQVR4nLVae3BU1Rn/nbNZ49jFjG1ooi4GJJhY7ZCg1BclBLHgYCEK9YFRgjAND6cEZAYcbcBpGelIEVt5dAw1tFO1glifJIqQKEwVLEEnQJAEo0EIoVPARCTZvefXP869u3d3772ba8s3k+y95/U9z/c49wiiv0BK86kup7jfswBAph9i4RDmWPZVof+k+UMiYg/VVwwTXiO/OxIV+79u+DH4Y6XfSCQAUBLtX980MHSekAAABQSeWowC... | <image>As shown in the figure, AB is the diameter of circle O, CD is the chord, and AB perpendicular CD, the foot of perpendicular is the point E, it is known that angle COB = 60.0, then the degree of angle DAB is () | 30.0 | 621 | [
"60^\\circ",
"30^\\circ",
"25^\\circ",
"35^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAABuCAAAAAD0EunuAAAJ6ElEQVR4nK1afWwcRxV/e0m4qLmykXrEC1y4NjmLjQzBiQMEYmobGWEkSlwScnHxH66E5D8CkhsZyaBQB4hUSxQRwBIXRZCL1FJLMbWD8mGIqe+CQRaO6ii1e6a5VC52lItcIad3gV182R9/zO7efszerT9+UU7jNzvzm/fezuy8NyOASoBAnnhwc/ZeiujOXRBFdtKmA5HqupD34zYIWpmODSy8cS11r377zs+G6MkoEb03R4XJO/Pjkabm... | <image>As shown in the figure, it is known that AB is the diameter of circle O, if the degree of angle BOC is 50.0, then the degree of angle A is () | 25.0 | 622 | [
"50^\\circ",
"40^\\circ",
"30^\\circ",
"25^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAABzCAAAAACQ4VKJAAAKjElEQVR4nL1bf3AU5Rl+duGIQvCMps05HB6WMDkIxYPQEkb0Uj1rGONMbHEQqzNxpINtxylF2/IHwxFHLW2h/pj8kSl/eGlBY3FIrBSDE+ulSTVp0dARm1CjBO9sL00siRfGS+6yT//Yvbu9u929vR/hmUxuv2/3/Z7vfd/v1+73fgJhAArpOXN9wY/eCwP9M0BpDVh28+ob3LrybQ+z/nXvUxmlxLHQiDwNA37/mUjN8pVN5UBNKTB1FggN... | <image>As shown in the figure, points A, B, and C are on circle O, angle AOB = 140.0, and the degree of angle ACB is () | 110.0 | 623 | [
"140^\\circ",
"110^\\circ",
"70^\\circ",
"120"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAABzCAAAAAB/Izm3AAAMQklEQVR4nLVbe2xUVRr/nRa8CtWGMFkmOrVAWzrQCkOoAmulZdvVyiMU07XoQqwKyoYqtY5IYnWKVleyEGVlk25YI0QRjF1bAoJd2zDFBxDqgm7rFBmgbIdQbKMgZTN3mc63f9zH3Pe9U5bvj7n3nsf3O9/jfufcc74BJU9x+SZxlygkInoEADxDdoxSkDwx+SZxlygEgJ2VIaInvP+xYTQScDVR4o6k++FrXmDDfS/fIPAEJJNvE4o4fCcB... | <image>As shown in the figure, AB is the diameter of circle O, CD is a chord of circle O, and CD perpendicular AB at E, respectively connect AD and BC, it is known that angle D = 65.0, then angle OCD = () | 40.0 | 624 | [
"30^\\circ",
"35^\\circ",
"40^\\circ",
"45^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABmCAAAAADZxiEvAAAHq0lEQVR4nL1aQWwcVxn+NoqqTQ5lIYq6LaAMbqlHqlBHPZSRotZDMOreOhWXjVAaR4LGwMWIIrmgah1xMBVIywHkwAGnoGg5eR1x2JQDtiWqtamc2aiqvFELsz7AGuFqzSHMRnbn5zA7s29m3pt5M6n8XXb+fe/N9/73/ve///1vCoRjxonjJszHePRqoVAoqB8fH+PJ313eJrp4PhdlvlH9ZKgCP3n+x8fHePczp4GTT/7jf8fG2KoAwJdz... | <image>As shown in the figure, AB is the diameter of circle O, CD is the chord of circle O, angle ACD = 42.0, then angle BAD = (). | 48.0 | 625 | [
"42",
"48",
"60",
"45"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJMAAACFCAAAAAB6AZVPAAAOW0lEQVR4nL1cfXAUx5X/tSRWfKy8IrUOS1i8MShmiV1EPpGyXJa9Ug7HssOVdWXqMASXIaEiV9ncYVs5cMwZ20VSJJbPcNHdyR93CFuArgpKuKxgcRGnD0NMSlTkSoFXjgWIk6gswRdEEGG1Ws3v/pjZ3ZnZmdmZWZEHpe3pz1+/fv36dfebEYQNWnsAQHBwjp28GaKgoHBWBgAKbOXatzpKfi/8Z12bul/o+icg4AKSTUxTk2Hglfv/Sd+m... | <image>As shown in the figure, AB is the diameter of circle O, angle AOC = 110.0, then angle D = () | 35.0 | 626 | [
"24^\\circ",
"22^\\circ",
"20^\\circ",
"35^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAABvCAAAAADk9ZBpAAAJa0lEQVR4nL1bbWxbVxl+bre6SHUx0zzhqR5pGlc1pLBU2cQEZm5Z0CKtSJ0UkSEFmo6KAPmBheqRiUrZj/4IWxGbFFC0Cs1FnQhaUEBUIkip5rqpyEghE0qbTk2dsGRqioOUzgFiLzsPP+719b2+H74ndvr8iM8599z3Oe/HOffec96AckgBcSYlb3LENshgXrlOvqE0S93kBqmxIkmSycw9150AzuFlAGgO10t1hTKdU99W6kUMAJDRfR57... | <image>As shown in the figure, AB is the diameter of circle O, point C is on circle O, if angle ABC = 30.0, then angle CAB is () | 60.0 | 627 | [
"30^\\circ",
"45^\\circ",
"60^\\circ",
"75^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAAClCAAAAABkCryaAAAOOUlEQVR4nL1cf2xcV5X+rh2vy2bCUDrZTGGoSe2sJ+tsM2YclKountCUuEoIZglrVliQiioWuFKtTdh1RVC8S0QtWmiBJDLqSk0FSNk2rBelah1tQsa7Lliy23HAbFziYFd2NhNciNNxVXdm8j7+uO/N+3Vn3ryRvEeR59737rvfPeeed+6559wX0A/tBYADvh7RCX4aazz4ArONAxXgVMEHCcw+hJo9vwfo5zEA8IWDuT8FgMt3+wUBsKbs... | <image>As shown in the figure, P is a point outside circle O, PA and PB intersect circle O at two points C and D respectively. It is known that the central angles of arc AB and arc CD are 90.0 and 50.0 respectively, then angle P = () | 20.0 | 628 | [
"45^\\circ",
"40^\\circ",
"25^\\circ",
"20^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG8AAABqCAAAAACXY1APAAAKYElEQVR4nLVab2xbVxU/rxUr0qw8Aa/UEh4exO1cGUZqd6yoltwNS/MgY0WzFKEV5mkeQWRDlsi0jFV4SJnohwyiNEiRyrRUdCyIVN6HTnO1lHmiSBGGZRMpL1tTLZ0r6i2V5s5Fc4Xf/fHhvvf8/vs5S88X+9537/3dc+69555z7hFAvRAEIrr61srlCtGFS0QU6qfP7A/tTAQsbdxI6A2Pan9ZqNT339J/R0D48q1EdHGNrlUv1M6G7kqn... | <image>As shown in the figure, given that the three points A, B and C are on circle O, AC perpendicular BO at D, angle B = 50.0, then the degree of angle BOC is () | 80.0 | 629 | [
"80^\\circ",
"60^\\circ",
"50^\\circ",
"40^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGgAAABkCAAAAABPtSoGAAAHbElEQVR4nLVaX2wcxRn/zfa2QuSSa8QFW2XDBc4hlxq5oSEqf6xeLU6NW0ACYRGFumqMKuXBQjEmUl0pxLGUB0s0oqKWQKraXqqWRpGJeYCQiES5I0ENNRKoOJwj20C0hpzjPOD6DKn2sl8fZndvd293b/Z897N1OzM73/zm+2bmm9mZYQRfELM/ACx9PH01B8zNA1Da6LsPKZu3R6uFKgI2sAAiB+bPnj13tXNjcsda2pQAsStfoDQ5p15Q... | <image>As shown in the figure, in circle O, the length of chord AB is 2.0, OC perpendicular AB at C, OC = 1.0, if two tangents of circle O are drawn from a point P outside circle O, the tangent points are A and B respectively, then angle APB The degree is () | 90.0 | 630 | [
"120^\\circ",
"90^\\circ",
"60^\\circ",
"45^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANIAAACSCAAAAAAVqsvyAAAOSElEQVR4nN1cfVBU1xX/PUhmNxFLnayF1s0Q3SWugSRaSDEBsxhJo0UjqVCdxlRI0soUZqImizpiIUHHD7QxLZ1xEg0wJhM6GqUDKbFqxUUjKTjqFIKUZdGAESoZTSXD2uie/rFv3779fm/fXWD7G9i37767955zz7nn3nfuuZcjCMg8BcA8DxGOKNH35qfNZH66b9xoYQSO3G/6ZlinjxsxbCCWUosJKDBFOkduUqrNByJeRm5SomorVc+I... | <image>As shown in the figure, in triangle ABC, AB = 10.0, AC = 8.0, BC = 6.0, the moving circle passing through point C and tangent to edge AB intersects CA and CB at points P and Q respectively, then the minimum value of the length of the line segment PQ is () | 4.8 | 631 | [
"4.75",
"4.8",
"5",
"4\\sqrt{2}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHkAAAB9CAAAAACjAJODAAAKmklEQVR4nL1bfVAU5xn/vbgJncrk4mQN53jxEjnDUbDF0RQyQQ8bLGSSmmQkMdMhFSaMtr20JRM7msZEMmEqmZrJFzim0RZm2g4pWDSxzdkkesZ2ggNTsDkCNkc8ikYMmYgFZxDWffrH3t7t7u3u7cEtv3Hk/eL9Pc/zPu/HPu8LRIqhGax0+hekKLETGQwAAcAwO0Niy41LwDA/kEWYzt1KRPR0O82T0hmyBAe+fhkAlnswT0ozkn7OrKzZ... | <image>As shown in the figure, in triangle ABC, AB = 2.0, AC = 1.0, the circle with AB as the diameter is tangent to AC and intersects the edge BC at point D, then the length of AD is () | \frac{2}{5}\sqrt{5} | 632 | [
"\\frac{2}{5}\\sqrt{5}",
"\\frac{4}{5}\\sqrt{5}",
"\\frac{2}{5}\\sqrt{3}",
"\\frac{4}{5}\\sqrt{3}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAABkCAAAAADLHw9tAAALuklEQVR4nL1bbXBU1Rl+zoUtTItEZZksbdqlJpjF+LFAGcPAGFBsM0qBfqCO4kBbYJky00HEGqdUxgGHdKRAR6J0mI501HYK+MMKJtZUQl3bCE5AG0wqCQTj6JJQDVk7Dbu55+mPe+/uvbt7PzZ36zOZ3LvnvOc9z33P13u+BFFqSIUCWPZnAFPPTfKtTikqbwBEwW+S5h8CwMtLO6g+eF1y7NR0FMVQASAgrIHSiNKZS0UCQHp0FpRfz3vk... | <image>As shown in the figure, AB is the diameter of circle O, point C is on the extended line of AB, CD is tangent to circle O, and the tangent point is D. If angle A = 35.0, then angle C is equal to () | 20.0 | 633 | [
"20^\\circ",
"30^\\circ",
"35^\\circ",
"55^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIYAAAB/CAAAAAAPj+WcAAAL0UlEQVR4nM1be4xU1R3+zuxFUEa3xKE7ytBRdpShS8gqKKRCF8oasGhcI4oo6mIwmK7WBWnUyGNV2piglSpJMdh2iKIkrl0TFDBZ4oxius3SYM2uu5ThUXesQ9YHsLN16V7u1z/uzOydua9zZ7aPj7DnzDm/c+93f7/zPr8jiFLw0cRoSeXs4CuplPrwqJIolcavwj/4P6DxWu0Xo8uiJBqps9d+/6L/PY2XmvDD0WVRCo2dW8TkUWbhnQZT... | <image>As shown in the figure, in Rttriangle ABC, angle ACB = 90.0, AC = 4.0, BC = 3.0, the circle with AC as the diameter intersects AB at D, then the length of AD is () | \frac{16}{5} | 634 | [
"\\frac{9}{5}",
"\\frac{12}{5}",
"\\frac{16}{5}",
"4"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH4AAABtCAAAAABCCophAAAN2klEQVR4nLWaa5RVxZXH65z76oZGHgOJGleyQkiMQc2AogjJdILQoEGWgqMEjYOuZZQkJsZRF87EccSJjixAjTGjiUlMIiuzQAlrlEVGDTiKbw0JvggvERuBfty+955nVe29//OhX9C3T997u5v/h/vl1qlf7V27HruqFKqVBILWB8eNmLVrRTvaKbmcCABIG5FwCAAC1lxWDCyI0qpKwW9w/nL5N97NfPCPTQpj2HUqlB/hiHUzh1Mh1ac/... | <image>As shown in the figure, it is known that AD and BC intersect at point O, AB parallel CD, if angle B = 40.0, angle D = 30.0, then the size of angle AOC is () | 70.0 | 635 | [
"60^\\circ",
"70^\\circ",
"80^\\circ",
"120^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKcAAABeCAAAAABj4FvhAAAMpUlEQVR4nM1bf7BdVXX+1tp7n3Pvyw9gEKGIWCDFVsU2aScgJIS8EBJDQITEQXRiKRbBIj/CONQ6JmakTtspRCnT1KFW1NYwCRYKJpBfBALBxFQKYztAHSkqMwqYNpEk95yz91qrf9z3kpCX+N4999hm/fXeOfes/Z1v7bX22mvtQ4aGpcwAbHnrbwMgGKgZrdyMmgNSZQmICxuCt198w/rgKKC4Y8aJIDRpqsb5dBFYNWlbCwAB1BSvjeOM... | <image>As shown in the figure, in triangle ABC, AB = AC, D is the midpoint of BC, angle B = 40.0, then angle BAD = () | 50.0 | 636 | [
"100^\\circ",
"80^\\circ",
"50^\\circ",
"40^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ0AAABWCAAAAADwYst9AAALWklEQVR4nM1be5BcVZn/vnPuozuTCRCJGMYICQEJSGKGZYfEgOGxIuvKUmLJLriFtSUq6AYoxSJoWYBiTGpBlGVATa370EURUZdSEINETQBTEgVCgpHwiMBM5pF5d997z/m+3/7RmTxmumfSfXsLf1VT0z197+nf/c73Pt8wKB9QLhixsmXO3BYSwzlXOwhiODF5F9FiWYW6rx0tNIPSBORmxxRRNPqVmUdZImbKuxWHIjc776xmG9p7mAhM... | <image>As shown in the figure, angle A = 70.0, angle 2 = 130.0, then angle 1 = () | 120.0 | 637 | [
"130^\\circ",
"120^\\circ",
"140^\\circ",
"110^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHoAAAChCAAAAAAty/TUAAAJCElEQVR4nO2bbUwcxxnH/xddsVF1JorqmKbn1kfc0BZobAiNEalkJU6JLwq2L26hEolTLIyi6GwJQWTigFNwY8sEqY5pUoybmuIPhLrGFzcGpy1ClbBdCTA24JgSOEdsGsCFhLuGl4N2+mH3XnZ3dm922TuU6P4f7JuZ5/bH7D278zy7z5gIVkr3rBg5ho6hY+gYOoaOoWPorybak2HK960MuqMXA/PM1hdMJpPJ1GMI2lP91M6Zz5nNBwAA... | <image>As shown in the figure, in the quadrilateral ABCD, angle BAD = 120.0, angle B = angle D = 90.0, if you find a point M on BC and CD respectively, so that the perimeter of triangle AMN is the smallest, then the degree of angle AMN + angle ANM is () | 120.0 | 638 | [
"110^\\circ",
"120^\\circ",
"140^\\circ",
"150^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKwAAABhCAAAAABuLBVuAAAOFklEQVR4nO1be3BU53X/nfN992oltEI8xENIPMRDvMUzNuAHFNvYjlsTpyTTUGPHTqd2g2t7ppnxDKnttJkmE09tmrg2jptJmrhJx3WcuE1t8AB2IRTCw+Yp3k8JECBeQlrt3nu/7/SPFUWrvRJ3dyFtZvKb2ZVm97vn/Pbc853vnPN9lwS/O+D/awK54PdkbxZCyYr12tFWqGgRsRaXvjF9xtfaALGFyuuGLBnt+lSwbIuAzz1F27Ye+SFA... | <image>As shown in the figure, fold the rectangle ABCD along the line segment OG to the position of OB'C'G, angle OGC' is equal to 100.0, then the degree of angle DGC' is () | 20.0 | 639 | [
"20^\\circ",
"25^\\circ",
"30^\\circ",
"40^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABsCAAAAAB4XQJJAAAK5UlEQVR4nL2af0wb5x3Gn4OoURMSJ8uhuosTZ+AsbklVGlqNLTAShW6sdStGWEk7thGVhWZIC1EThW5pqTQ2mIaWH0q6qFkkomVapFLR0TR4KhVEoxqdaWk0EtLhbKTQ1am9zhTonMW5Z3/c+Xy2z3dnivr8dfe+772f933v/fF9v+8LmqkNKH3/e6bJLCsLxhrO95G/3rLKJFkGMiF+2lD4MnB/+frPg0gAOBo+CgD5axaOKNAo9tPSrx9a... | <image>As shown in the figure, AB is the diameter of circle O, if angle BDC = 40.0, then the degree of angle BOC is () | 80.0 | 640 | [
"40^\\circ",
"80^\\circ",
"14^\\circ",
"无法确定"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGkAAABcCAAAAABIXsT4AAAGFklEQVR4nO2aX2hbVRzHv9k6MmllgQUXadRsqyaDUSOIBClSa9fW2YdMy8xDkcLmmGxiB0UGU5jgwwoV+7C1nZsQocI2MuhDYblznRWKTNhDosNluq53ELRK0dQ0cLPc+fPh3iT33tx7z1n+DAb+2Nqzc773fM7v3HPO/Z1z5iA8JFv3sED/kxg26XC8Jh9pPEl0JIi+3PCkpYDqZAX/ASKikZiVoG4+ncl9BgDbnm20TwX/KENRL5/St7Yz... | <image>As shown in the figure, fold triangle ABC so that point A coincides with point D at BC, and the crease is MN. If AB = 9.0, BC = 6.0, then the perimeter of triangle DNB is () | 12.0 | 641 | [
"12",
"13",
"14",
"15"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKQAAABWCAAAAABkhGKPAAAIY0lEQVR4nM2bX2hb1x3Hf9d068uYtiE1t0y1lkSeDd6oil+yxZu9klENMjkMbxnFYzJxHJhYp2FDAstmCnnQgwsuRF2CC/ODH7Laax6mrdc0Kx5ToJBuKlvW0K7GGqbDzKVVcgtTfMX57uH+/6tzbN+mXxyhe+/587nne3/nnnN0IoHEtHYoJ5hj/+oRTK/9LBaMaAlC4pe9R4mIRNt/fxKE/PXj/5GIiKQ4WEIlBtlUv5b6TEwkERKDnD9P... | <image>As shown in the figure, the perimeter of parallelogram ABCD is 36.0, the diagonal AC and BD intersect at point O, point E is the midpoint of CD, BD = 12.0, then the perimeter of triangle DOE is () | 15.0 | 642 | [
"15",
"18",
"21",
"24"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHkAAAB0CAAAAACED8JLAAALqUlEQVR4nNVbbVBc1Rl+bsAlbUjRcUnWcXUbWcoqVokkYyxEQqXJ2qBuKynaYkIqES1Oix1sY6GFahJxTMdkBqfUxAkZ4wgVBQ1OlpEMRCHgQE1iiSRhU0mXjhDI5IN1wt1s7tsfe3f3fpx79+7S1unzY7nnnnPe57wf93zDEeaIAayIq968OXASAMz+Js7ac2HmAODFBWn/e2YQsPfmQJyV58TMwTN97zfnfw3M8O9+AtaFXwfzWy99K+NK... | <image>As shown in the figure, points A, B, C, D are on circle O, angle AOC = 140.0, point B is the midpoint of arc AC, then the degree of angle D is () | 35.0 | 643 | [
"70^\\circ",
"55^\\circ",
"35.5^\\circ",
"35^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH8AAAByCAAAAABfSFERAAAU40lEQVR4nL2beZidVZH/633fu/TeITshJDFAgkASCIRdwB8KzOCAKAOIDriLMCgMKM4wuDw4OojKpgMoA+ijzuBIGEFBWRQEBwgoELYAScza3enu23d717N95o8my/TNzb3h4fnVf/d96z3fqjp16tSpU9dzsmvCF+0HkgZ5sQEm76yXk5GX16xaN6qH35Ccm7nXpN45By9cVMgLLhAhCYqi82mHtXmJeqT+3+fJux676PsTB3aByYnJtYAX... | <image>As shown in the figure, AB is the diameter of circle O, and points C and D are on circle O. If angle ABD = 50.0, then the degree of angle BCD is () | 40.0 | 644 | [
"30^\\circ",
"35^\\circ",
"40^\\circ",
"45^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGUAAAA3CAAAAAAwUdvvAAAIrklEQVR4nK2YeXDV1RXHv+fe+3svhCRgws5AJVIIa5F9UbHjCLhLi0tHwLXFWi1qxRU7aqvjjNVRh5QiiEqtRWbQWqdaSjFKABVxAWS1IVRkiQJZCXnv97vn2z9eJC/J07D0/Pd+v/e7n/M995xzFyFO1lQZlL5UPvr0a5wNMrwn1f317h4d7z23xpw0BBIFr/72rlV9K9vFM4+SVJx164dT/sF27uQpjH+99PYinVKRjGUMiJhkrGzD4uga... | <image>As shown in the figure, in triangle ABC, angle CAB = 30.0, rotate triangle ABC anticlockwise in the plane around point A to the position of triangle AB'C', and CC' parallel AB, then the degree of rotation angle is () | 120.0 | 645 | [
"100^\\circ",
"120^\\circ",
"110^\\circ",
"130^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGYAAAA7CAAAAACspKCXAAAEwElEQVR4nLVYa1BVVRT+7uFeIEIULBElp5GXIhYOxMuABEMEskJiiF4zWuakZeQPpkZnoqnpMU7NUFFYE+lo4uOOQFiGKPUDeYs20RBiZIiJgbzhch98/YCMxz337AO39evO2t+6317fXnvvtQ9oH2uJYvmGatlhLeZueW5P4+xKxHtt+WG+DESyA82hZUBFLBDo0igHsQNNpWskRn9fBwx3yGpjB5rD63QoW+wFVI2s+v9ohi+mApdWOGAo... | <image>As shown in the figure, O is a point on the straight line AB, angle 1 = 40.0, OD bisects angle BOC, then the degree of angle 2 is () | 70.0 | 646 | [
"20^\\circ",
"30^\\circ",
"50^\\circ",
"70^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGEAAABeCAAAAAAWQSUHAAAGS0lEQVR4nO2ZfVBUVRTAz9t9uyy7IIugCZrfmA7pgMogpYwgGgzoCuaImjMp6VR+gYClY1KKraAY0piiNqlhajZCKioGAUmjmY5l8pEg4gco6Bjysbvs1+0Pdve9fe/dtywLM8Vw/uHec+47P+6755x7310CQS+LoLcBfYJAsjTab/UES+kT0m0CwVrp8iWzNAyV4IX2h24T2HNAvmHtTELj7W4DOAiEXsWag8aBmO6bsUSHG3uVYOgwEi76... | <image>As shown in the picture, it is a beautiful Pythagorean tree, in which all quadrilaterals are squares, and all triangles are right triangles. The areas of square A, B, C, and D are 2.0, 5.0, 1.0, 2.0, respectively. Then the area of the largest square E is (). | 10.0 | 647 | [
".9",
"10",
"11",
"12"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAADwAAABPCAAAAACSIfnBAAAEm0lEQVR4nJ2Xe1BUVRzHv3uBePkgpkSIqYkGFjElnoo1gMZoZQIFlIOPEcdMGDAmC0txehBRjUZpTWThg0BnSBhTcIyUUFIwlKeSGjjMgCDLoiAsLOzu/fXHwi673Ms9t+8/e8/3dz5zfud3fnPmLMissh5ikyYz4FDaL0QwW5VLdYwwZe2iB25dxGFSA78524JR1atR7jMXpvnappAeVra3W727++QsmFauCRp1YYUrvcKj1WqY4Pq62nMe... | <image>As shown in the figure, the straight lines AB and CD are cut by BC. If AB parallel CD, angle 1 = 45.0, angle 2 = 35.0, then angle 3 = () | 80.0 | 648 | [
"80^\\circ",
"70^\\circ",
"60^\\circ",
"90^\\circ"
] | A |
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