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": "iVBORw0KGgoAAAANSUhEUgAAAFAAAABLCAAAAADCa18pAAAFWUlEQVR4nK3YW1ATVxgH8P8JQRDqFYUE1GAlFy6GYEgwiRXHFm29oA+ddpyxgq22Rae+WGs7rT502j7U+lAdRztDHUdtO3bsoAVKgIq3GCBcAvVSbkXroNiRoiK3EpLtQyBZdrPJ7sL3tHvOt7+c3bN7dvMRCox4ekZq/Km1SMps5xsUI55utlFUzw/MZt5BmCM8MHwI8LjDxQ6QeWau8jMAJBKxHphHDj6bI9oKCEbPfwTgoUc0yLqG1h/3... | <image>As shown in the figure, in Rttriangle ABC, angle BAC = 90.0, rotate triangle ABC clockwise around point A by 90.0 to obtain triangle AB′C′ (the corresponding point of point B is point B′, and the corresponding point of point C is point C ′), connect CC′. If angle CC′B′ = 32.0, then the size of angle AC′B′ is () | 13.0 | 649 | [
"32^\\circ",
"45^\\circ",
"13^\\circ",
"30^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAE0AAAA4CAAAAACdjSoeAAAD7UlEQVR4nK2XbUxbZRiG74MEG3GZCRlNtSQyVp1IVoYIozAcxeGUOEGykWVQF6fDzW831CzRuc6ZbLCiMQtmOjKK4sfGHAsbirRQ00ItAYzZH7cYPxJndNEEM5fhD25/lI3z1Z73ND6/3vd+mqvP/Zyn79sjEdj1vQ2jjftgLqJX067cWKXU0jHxpH0A2HqrSRj+PTS59c8DLfUKkc2LSDJC01Gxlnz2lpBcksbLdrYDg0dnLVcoUQIlAJQI... | <image>Known: As shown in the figure, AB parallel CD, BC bisects angle ABD, and angle C = 40.0, then the degree of angle D is () | 100.0 | 650 | [
"40^\\circ",
"80^\\circ",
"90^\\circ",
"100^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK0AAABrCAAAAAAgdV02AAAJDUlEQVR4nO2be1wTVxbHT0J4CIalULSCVdQtoEK7H3VtbSkLVhcFResuWCiL2n5aq1sf/bBb3XW7aLW2aLUiIqyCQBNBFkoXQdx25SG0qKkL0YoCIg9Bjakib5IQZvaPJJDMTMidRxL28+nvHzJnzrn3y83M3HPPnfBw+D8S39oAtPQzrfn0M635NG5os/1W3TPpJLAACIqOdty4NGDSa5zQyq8lwSLTbuPkSmhY4ojiNk5ouwdAWmDajTc+... | <image>Given that the straight line a parallel b, angle 1 and angle 2 are mutually complementary, angle 3 = 121.0, then angle 4 is equal to () | 149.0 | 651 | [
"159^\\circ",
"149^\\circ",
"139^\\circ",
"21^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAABjCAAAAACN/mChAAAIx0lEQVR4nJ1aYZnrug6c7bcEhoIpmIIvBFPIgbAXwlkIpxQC4RrCM4QjCDsQ+n7Yjp20aZNmu03bxJIljUay248b3jzETPKdkZd3tEkCmL8FvaPz87RCggBgAMi3dJ62kwAgyQkOeEvpaTsBCATytwNF6nxIP97DkGSQpqL+zDjiDd8KAJSvOSAlnY0o8Y5OAgLJAHlHnLUTAHA7ffzcbref2//+3G4/t5/y9txxHkMiINq3GAnoDC1UvJ3n... | <image>In triangle ABC, AB = AC, D and E are respectively on BC and AC, AD = AE, angle CDE = 20.0, then the degree of angle BAD is () | 40.0 | 652 | [
"36^\\circ",
"40^\\circ",
"45^\\circ",
"50^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIsAAABcCAAAAAB7SRm0AAAPLElEQVR4nL1aaZRV1bGuPZzhDk3T3SDoIy+AiEHFKEMMis95jD6jiBMRx2fCMsp6ITExig+H6HI5LDWiGI0SRJyeSzRPUWGpiAoOKFGiIChRAQG7m77Duefsqer9oLuBpm/f283w/br3nDp7f6d2Ve2qXQeoU2Cx+Tg/rB0yz6GNFDnXudiuBZS5jvjVKX/NT/3JmhatLCHuCS4SOgeLmuWEQNT5vkdURmZXQ3Y+EYPiFwM+WvvFqfsAWWBs... | <image>As shown in the figure, the vertex A of the line parallel n, Rttriangle ABC is on the line n, angle C = 90.0, AB, CB intersect the line at point D and point E respectively, and DB = DE, if angle B = 25.0, then the degree of angle 1 is () | 65.0 | 653 | [
"60^\\circ",
"65^\\circ",
"70^\\circ",
"75^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMEAAACbCAAAAAD+PKDRAAALYElEQVR4nNVd+33qPAw97e9b4HQE3xHSEXJHgBFghDBCOkIYIYwQRiAjxCNII+j7ww6kLc8kLrenhRLysqyHZUlOXwzPhr6hzjn69NcZmzIO+zeTPXX0+S9P58Fbpw46ngf/zdiWUdgtSFU3/gJPp0AzKMdz4F/QAw++6Hg1+Af04IVqyvGK8HweWGMAxsvRE3kQul3x5/Bb9YCqCs+/CwdgvCI8jwIFQe+2WoDwv1GKvAOA9m+dKyYo8hN5... | <image>As shown in the figure, the straight line a parallel b, the straight line c and the straight lines a, b intersect at the points A, B, AM perpendicular b, and the foot of perpendicular is the point M. If angle 1 = 58.0, then angle 2 = () | 32.0 | 654 | [
"32^\\circ",
"58^\\circ",
"42^\\circ",
"122^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGYAAABnCAAAAADX6GgbAAANcUlEQVR4nLWayXNVSXaHfyene+9DQohqEAIxT0IDU0FT89C2y90R1TU4auGohdvhDu8cvfGmF976T/DG4XCEewjbEb3pCEfbVe6uatcAJSiEKIEYJBUUUEJQgEBCevfmdLx47wlJSOi9KsjF1b1PefPLPOfkOSczLzG+RQmQjb0gvg0FZ/5pCu6JY2zf+1fQkBgaw3CZgTIu5O8ORPPkMKR8AcPHN79z9UZDLzY4Gi8k5PjYTtN6FOGJYShD... | <image>As shown in the figure, put the right-angled vertex of a right triangle board on one side of the ruler, if angle 1 = 30.0, then angle 2 is () | 60.0 | 655 | [
"45^\\circ",
"50^\\circ",
"55^\\circ",
"60^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABOCAAAAAAyOaZ0AAAFHklEQVR4nL1Z7ZmrvA6ck2cbmBbcArcEnxK8JXBKICWEEkIJoYRQwlJCXAJTgt8fhnywBGz2PqvN92LGkqWRZP8JyBb1BfNHTXLIH/K3wfFzP+JH7gD9dRWo/YgImVIxhBBuucMeko3IUwhDCMNuxOx1NAQo7HedHMS4eD0A73cD4k9udHS1Nd6ZX0SE9zQ/CMcdiAAgvx8023PiYnbdXsB8RAIQ9Tu+OopA/FJ0jHiAJuP+CiLBX9YxqvcD... | <image>As shown in the figure, AB perpendicular CD at D, DE perpendicular DF, if angle BDE = 60.0, then angle CDF is equal to () | 60.0 | 656 | [
"30^\\circ",
"45^\\circ",
"60^\\circ",
"120^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKEAAACECAAAAADdWxTvAAAmTElEQVR4nM18Z5Rd1ZHu3ufmvp3UrQwiiiCyJASYoAQCJDIWQQSToxlssGGMwdgYY8YwgEUwxjjgQLJJxuQ0gAQiS0iDhBKKHW86eef63o+WhMeMh3lv6S1UP+7qu9befb5TaVfVrrocYWuSyXhvbDeszEyOEWdbFpHX1VorF3N8WjHLwBhzXzWiL5C3VaMT/ezbx7TkGThj+KoBfYF4Gg1ldM/EsTrLHPeYyX7ViP6BKFsqaV7Ju2MyjOAx... | <image>As shown in the figure, the measured BD = 120.0, DC = 60.0, EC = 50.0, then the width of the river AB is () | 100.0 | 657 | [
"120m",
"100m",
"75m",
"25m"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJYAAABtCAAAAABmP8fkAAAGdklEQVR4nO1bT4gbVRj/RkX24KFYkKWIhqSHLBWZ3lKosFUwOUboIfbSnmqmiKwgGkFIC8KaokQvjeKh9dLksLDradfTFic0PTXiZS9Otiyl2Vvqxezt5yGT+fvem/fe7KQi/Z1mJt/78pt539/Hewbov4gXnjUBNp7TUsFzWi56fQkhY+GeaDj5ZKGFf61KQYLVwmn1vpISWzCt0e+npOQWTOvarSenZeQWS+vmb8Y7Mqa1WFp9ArpSki9l... | <image>As shown in the figure, in triangle ABE, the perpendicular bisector of AE MN intersects BE at point C, angle E = 30.0, and AB = CE, then the degree of angle BAE is () | 90.0 | 658 | [
"80^\\circ",
"85^\\circ",
"90^\\circ",
"105^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKIAAACZCAAAAACJJL6pAAAKeUlEQVR4nM2cf2wUxxXHv2OcXKRc60hx6qO95lJiYrekqpMUAcUUt4HYVoINwS60kEIkIKhQlRQUgpqoRYoEUYhCGkOoXKlUMcqhO9d2cgJf6iaWbFTzIz0jOTKRHHwWbosLaTH2H7ax7/WP3b3bvd09z+zt7vkjGZ+XndnvvjfvzczN7IK4OQZUTP2K/3y7yAMncXaZ6E93z+c93y4IvBLvVO34A/DQ3mJH9aRBABi3xMb/vgkACx52TpAe... | <image>As shown in the figure, in triangle ABC, D and E are points on edges AB and AC respectively, DE parallel BC, angle ADE = 35.0, angle C = 120.0, then angle A is () | 25.0 | 659 | [
"60^\\circ",
"45^\\circ",
"35^\\circ",
"25^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGcAAAB3CAAAAAA7/AG+AAAWYUlEQVR4nK16e5RVxZX3b1edc+69fZuGBkEQBAIqBHyAgIL4AN+vqBGjY1wmk3GSMSYTR2fUJOr6MnEmcYwrY5bGSaJJNIkaNY5Kxld84QONCIqaACIigRZ5NN304957TlXtvb8/bj+wb1/afN/sP3r1uaeqfrV37VftfaA9JCWR7lREPLOoZk5VHIv66msWERHmoKoiqioirKqBmUVURbKgmn4hXyzs85NuldC7rrKyahm9j0HYB5FMS6VS... | <image>As shown in the figure, points A, B, and C are on circle O, angle AOB = 72.0, then angle ACB is equal to () | 36.0 | 660 | [
"36^\\circ",
"54^\\circ",
"18^\\circ",
"28^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAS8AAABPCAAAAACfNhzqAAAEJ0lEQVR4nO1aMUxTQRj+fmNMXaAupiZicDBpt4dT2RwcYMOtTmCc2GBrB4OJJmUTN1wMYYGRDUYGBVwMJph2owaSdmxcbLqcQ2n7+vra3n93tNe++4aXvte7+//35fvv/vvvkYADA3dG7cCYwfHFg+OLB8cXD44vHhxfPNzldyEgukmIAl+IMmXEfm+CAAGIJmVq+hIANZiLGtj68pFEQOREprM+CgGAyJQrYwG1eGxCABStyZ8bjyFzVqTC... | <image>Fold a rectangular piece of paper as shown in the picture, and then unfold it. If angle 1 = 56.0, then angle 2 is equal to () | 68.0 | 661 | [
"56^\\circ",
"62^\\circ",
"66^\\circ",
"68^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKwAAACQCAAAAACw4t/SAAALCklEQVR4nNVca4xV1RX+9uOcc58zc4eHPLTybFpEHkUe2oBYQHzUmmqfpmnaxP5o2qaaRhuNf7S2aX+0TZuYkNakf0wf1NYoUkWhgtAoQQRRqoNIeQszwNyZ+zjPvVd/DPciM87onbM3wpfMjzNz57tf1llnrbXXXvuALCMmotfa8KvIABeHZSj4z9y5v3+vNsDFyADJyKgsfnJy/TITVpEGOEZEWH9r9nQ10QiXdTfwSjtXCELVxB20LhZn... | <image>As shown in the figure, the straight line a parallel b, angle 1 = 72.0, then the degree of angle 2 is () | 108.0 | 662 | [
"118^\\circ",
"108^\\circ",
"98^\\circ",
"72^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIsAAABMCAAAAAB4nxsvAAAHdklEQVR4nO2af3BU1RXHv+e93SybZFeyUUzCr2AwbEKmIUgSpYYm2oGCEQym2E6gFAfqDI7MODrTX9Tp1Hbq0Cm1HTvaah3BUaOCKPI7JiAohgQho5gWzSQpkAQSXbLJxvzY7Dv94723bxezbzf7Hol/9Mzsj3vfffd87rnn/nj3PGJowoTJFCE0Mbko4SyTIax8EMbC0LInTgjB/qAJVx5Zwvpokrm+Tb5rUX79XZ7rOaQ5YjuJAVumXWFh... | <image>As shown in the figure, the two vertices of a right triangle with 30.0 angle are placed on the opposite side of a rectangle. If angle 1 = 25.0, then the degree of angle 2 is () | 115.0 | 663 | [
"130^\\circ",
"105^\\circ",
"115^\\circ",
"125^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAAB1CAAAAABhFjB8AAASF0lEQVR4nLWaeZxcVZXH73tV1Ul3E7IRlpCQBU2CIkGjRIeP4jCijqLoDPoRcMEF5aMgA4OIiAoo6riM4+AwCKOgDs6MiqJ+QFRcEJAojBoQEpaA2dNbLa/qLXc55zt/VHdnqa6m2s94/qpX7933e+ee/dwTYWZGrhwbg5rX3h6rMWl/NJPF8QzBTF8sAia+7eQdif3w8nxGi2eMZgzGiJgiPmJO38fWfOwvi4bGJaOqPzve7K6WT/zdjBaX... | <image>As shown in the figure, it is known that AB and AD are the chords of circle O, angle ABO = 30.0, angle ADO = 20.0, then angle BAD = () | 50.0 | 664 | [
"30^\\circ",
"40^\\circ",
"50^\\circ",
"60^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJsAAAAUCAAAAAC/7BBdAAAB50lEQVR4nM2WPWsUURSGnzOz2SWIbpINaQQhpSAKgmVcDBg1giBaWqhNsEkr2AREDahYpBONdpZB0PhRiMSkCjbxTwgimMTC7MfsazG72cLsnMmMgTzNPTDvOfPec+5lxsQuuNV66mqm8DXpKGxHN3nhqi30K6aQJHODl3HQ9XYgRdH+FKX7djWJHTjYaAddb8+K4Z+od4ZCrPg8iGqtHs+NMEJhocR0Uz1EKQj656//4y2qN3YUxxkEQSim... | <image>As shown in the figure, C and D are two points on the line segment AB, if CB = 4.0, DB = 7.0, and D is the midpoint of AC, then the length of AB is equal to () | 10.0 | 665 | [
"9cm",
"10cm",
"12cm",
"14cm"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAAYCAAAAAAHAOTlAAAEJklEQVR4nOVXS2skVRT+zumqru5Km0TUmYUzahJkjANBBrfOCG5i3BudlRtBEFyEAUUwILNwoa5cukkWij9Ak41KRodxHzBBREUSJcExkOlOv6rqfC6q0o8h6e6qymbwo5tb93G+e849j1slRF2LgSesVTAyKD3PLTcMvLeuvloeXf5END9tvx8WSS8nTz+6qkZOWDBFswQ4YEmDpgeA1FGppPe5FHmuUvIaDS8qeN6xor3nmgtdngLQCioo... | <image>As shown in the figure, C and D are two points on the line segment AB, if AC = 3.0, C is the midpoint of AD and AB = 10.0, then DB = () | 4.0 | 666 | [
"4cm",
"5cm",
"6cm",
"7cm"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALsAAACFCAAAAAAmi9ZrAAAZJUlEQVR4nM1caYBcRbX+TtVdu2d6JjPZIRAIJCwiAQQVRV9AVgMYdpEdZEcUfeGxCEI0whN9qCiRTQTZfBgQBAL4kE1AliAIaF4gUcgyyay93L2qzvuRZCZMTyfdTMa8708yffue+/W5p05VfXWqyGAzg7Ss5DOnkqei6wW5um8zJEaSVj1IYNBEjCYuFTzIRly52bm70AAyE9CvdrR2VN+I6791s3MnsDJJXpTHv/pw8ujEFqr/VmvkWNUH... | <image>As shown in the figure, in circle O, AC is the diameter, MA and MB are tangent to circle O at points A, B, angle BAC = 25.0, then the size of angle AMB is () | 50.0 | 667 | [
"25^\\circ",
"30^\\circ",
"45^\\circ",
"50^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIgAAABYCAAAAAAL7+ChAAAGGElEQVR4nM3aWWxUVRgH8P9dZusyk3Y67UwXmJYWaEsHxLAoi9AAZVHEGHd8EEmMDyQkxoQHTYzGhRfQSGLCEhK3YMBIoIksVkREtmr3hZY6W6ely9BOO9udu/mACjO2ndty72W+1/vlzi/nO/fMl3MOIYKjiE7fEiPkj0hXmDE9ghBNapLm0qLAkpFvcqoVcCB85KIjWLM9g2GSQ0ieMUQaPDpCAQZrXrPjq63fhzk6I3k2KdC4wyzNlN8B... | <image>Given: AB parallel CD, angle ABE = 120.0, angle C = 25.0, then the degree of angle α is () | 85.0 | 668 | [
"60^\\circ",
"75^\\circ",
"85^\\circ",
"80^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKIAAAB2CAAAAABuNhf+AAAMYklEQVR4nNWc6XcU17HAq+7tZXaN9l0IKUgYsSkYAUYxhmCDMRD7PPJykpPnl/wBOef9N+/De/mUkxxigxJsy4aAiWUCtgRiSdgMAmSE0DKDlhnNTE9331v5IFkBNKNZejSK65Ok6a75dd1bt+pW3RYS/LsLW22AzPI9QFRWRq0kBhIQENCxrpVBTEwkNCAJis/vcsy4Qoh3L87567Tw3IbdtY6/YWXmok8dOHFDX+O6ezPiXNnKWJFDTOvc... | <image>As shown in the figure, the straight lines AB and CD intersect at point O, OD bisects angle AOE, angle BOC = 50.0, then angle EOB = () | 80.0 | 669 | [
"50^\\circ",
"60^\\circ",
"70^\\circ",
"80^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAAA/CAAAAADoe5ieAAAIXElEQVR4nO1ZaVRURxb+Hq+7aWQTUFFRRBzjNi5xwyATHRckwROd5MQt8QSj0RgzcSZz9ExcZhCIBAc1OcrEICYKsgwgJmrApVkCGGVTUcQREAQUVBCQpRfo7js/3nvQTTcCfUB/ZO6vW9+tut+rW9utegzhJYrZyyT/P/tvlF1kCN1IlxMtdHsh9GQgfozdYKthZzWGlj4XI5FX0aWiFMc/V72ArhthZySTB85a1Kx4AexGxl2i3uFQFvf2... | <image>As shown in the figure, a big tree breaks at B whose height is 9.0 from the ground, and the top A of the tree falls at 12.0 from the bottom C of the tree. The height before the break is () | 24.0 | 670 | [
"9米",
"15米",
"21米",
"24米"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAABnCAAAAAAvCJPsAAAJo0lEQVR4nO2afVyUVRbHz0MgCAMoCsOKIgoI4buC4Wuki2laiZ/Wl3bVfPm4ibmrbubqZmplr6apaWWa2+pnU4PIcEkKVDRd3XxJxRfMNwhJBAVEGYeZ+Z39Ywacl+c+3BHyr+5f8zz3zP3ee+6555x7ZhSmB9g8HiTsN9pvtAdOYybWOlKeTQqrIq/b3n6eikigadf2lf74kc+H7xYuT2ptLJysUyuO7k8U/8T5FoIvyKyNS2TdW95TpCjx... | <image>As shown in the figure, cross point A on circle O to draw a tangent of circle O, and it intersects the extended line of diameter BC at point D, connect AB, if angle B = 25.0, then the degree of angle D is () | 40.0 | 671 | [
"25^\\circ",
"40^\\circ",
"45^\\circ",
"50^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHgAAABZCAAAAADQ/7+dAAAIrElEQVR4nO2aeVRU1x3Hv++9mYGRzQFkVRYF08CIa6JhEUGl4tYFo8TaxsTTxtqYNtrWeFzRxiW2xsTanvT0aJr2nPRoNSiLKCLLqCDiggLihjMgyiIBZxgGZnm3f8xDlHkz84bOkH96/5r7u/e+z/vd37u/+/vdO1QWXF6yCLGk0K7ngoDa9l2Ad4LikQ4DmCUsD8b14G2EzqKIxVy7HiwCm8XDEbkczIIBWJ73cXE5QKitQBbZvfFlucun... | <image>As shown in the figure, place the right-angled vertex of the triangular plate (angle A = 30.0) with 30.0 angle on one of the two parallel lines. If angle 1 = 38.0, then the degree of angle 2 () | 22.0 | 672 | [
"28^\\circ",
"22^\\circ",
"32^\\circ",
"38^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIQAAABUCAAAAABmEcBUAAAGBElEQVR4nO2ae0xTdxTHv/e2pS0tgghBok6oqIMNHxm6+Zgx0yga9wBfKGqWuWw+5gNNDM6pGYtEESabmSzOxxDBiM5J1GVOTa0PDLopPpGxwUAHCEKRQUuh5bd/dNz2tvfe0svtEj1/ted8b3+fnp6e37kPisDrRtHeJgCAFxDP7HmEME1MwQfzHL1yaSGshgBc+MfRK3EmVLQvtL1wap2Z6ZUyE5ZKtIIC5ZuXiPZML0HUfAYrkUN7ecVb... | <image>As shown in the figure, Xiaoming walks from point A in the direction of 80.0 to the north by east to point B, and then from point B to the direction of 25.0 to the south by west to point C, then the degree of angle ABC is () | 55.0 | 673 | [
"55^\\circ",
"50^\\circ",
"45^\\circ",
"40^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKgAAAB7CAAAAADFipTpAAAF6ElEQVR4nO2cb0xVZRzHv8+5zDsUkxQwG0Qgi0gxY+F8IWau2I1GLaB/uOZKc65cyxgvQnPV2pquIa5wYW5tbVpzNTZetGasEpptmFOSgJSLYDYm4ULwTxj3/HrBuRJ5uec5z/N7Dmvr++bw4jmf8z2/3/P/PBcQtwoAANlyhRuAUqqWKWmBW8crLhL13C1TNCx6iHaLHJmy/EZxZT6asjbIlMyp3gVkVWfLlOU32luJ1jlWmUTJfdgJwMrJ... | <image>As shown in the figure, given that the straight lines AB and CD intersect at point O, OE perpendicular AB, angle EOC = 30.0, then the degree of angle BOD is () | 120.0 | 674 | [
"60^\\circ",
"30^\\circ",
"120^\\circ",
"150^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIEAAACQCAAAAAAKQVeyAAALYElEQVR4nM2bXWwU1xXH/3cNhAeIierAupgGlE1ttBHZyI6EAi24odhR3cWmECcKkUil2AmOVFpQ46qR/FCi2I2toMomMX4o+ZD6YQMOcdououBIpooK0kKVhESxiwlEWdJUNTFRFu/6/vswMzuzu/PtoemRxczOzLn3d849996Zew+CsJHDSx6wux2ICDuC2cqF50vmWsOR0gcAUPgi6Buet2mP76qVSmerbjkfsqzegeDGyj8v/M67S+3U... | <image>The three views of a geometry are shown in the figure, where the front view and the left view are both equilateral triangles with edge length 2.0, then the surface area of the geometry is () | 3\pi | 675 | [
"4\\pi",
"3\\pi",
"2\\pi",
"\\pi"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ4AAABaCAAAAABsl7AFAAAG9ElEQVR4nM2bf2yVVxnHP+e5xEZt0rhY0QVYC+2KsRkrwQlE1sbgWrLIDzfTmbg0ZGxd1IxCjICKTZ0ZI5uBGat3RsPY4gaCq79LlzipnRqnUCQI1Am9NQsJkIgg/0Byz+Mf533f+6O390f73vfe7819f5z3fc/53uc5z3Oe85z3oqqq6wF+qqqa1KoCbrf+iA5zsrJUckEAuH2hi6UAWKoKAihvfrKWrb1t3nk1QdWqfg+qUbWecvWNkzq4... | <image>As shown in the figure, in the right triangle ABC, angle C = 90.0, AB = 5.0, AC = 4.0, then the value of sinangle B is () | \frac{4}{5} | 676 | [
"\\frac{3}{5}",
"\\frac{4}{5}",
"\\frac{3}{4}",
"\\frac{4}{3}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJoAAABaCAAAAABlfBB/AAAHRElEQVR4nL2be2wURRzHv3NbUxOriCnWR0kDLXK1TYBYQhUrTQArwvGSSBVIkfIyYKDSCyW0tgk1RQoBIpoeuaoEUAgiJQiiR2MREQgNj1hoCXvECkaINQFTHyW39/OP3du73vXuZm937ptruzs7O/OZ329+87jdggzJBTjIaeyeRGUDpwiAl8lEW1mOeiZcRtoBJxH5nR5BZgoTt9UA7MQmgFjOMGF26ifG7RpizLU0cCgKJ1T8fY15MVw7... | <image>As shown in the figure, in Rttriangle ABC, angle C is a right angle, CD perpendicular AB at D, it is known that AC = 3.0, AB = 5.0, then tanangle BCD is equal to () | \frac{4}{3} | 677 | [
"\\frac{3}{4}",
"\\frac{4}{3}",
"\\frac{3}{5}",
"\\frac{4}{5}"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGEAAABuCAAAAAASOyKqAAAGmElEQVR4nM1aXWwUVRg9d9OFgjVQk/4YjbAIsqaJWXggmxDdYoLWYLoLKLQPIuoD8mLAxkQSs9VEjNGI+mBoDQRMigUToSVKwQfKj6UkGtEXt0lLW2LIUhPbhyVdnNE5Pszs/OzO7MzOThNPttu5d769537fvfebM3cG9I35Q57MauAb79R5MgtV3DC1r6PTjy0Qg1C/Jpav9GZfOYOK/Bftk5EFZTh4wLOpn1mk8AqAVTOejH34QIiJy+T4... | <image>As shown in the figure, in triangle ABC, DE parallel BC, if AD = 3.0, DB = 6.0, DE = 2.5, then the length of BC is () | 7.5 | 678 | [
"5",
"5.5",
"7.5",
"10"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJsAAAB0CAAAAAC3GB8HAAAJCklEQVR4nM1cXWwcVxk9QylKC1KSKhZCqJnEVErUB7RBAiwqdY1wyfIA2VRCDlIKBqE4hYfaoIrwgOs+UEOK1giVBPGyBRpvEOqGp8SJRLephGJaOUtfAAll7USlC0q1blGdNZ5lDg8zs/N35+fOvZX4lHh3dsZnz3z3O/fe+e53bRBazPrGCzj98JtH9aA59j49MDcPfpz86BdNPWieUYetj56mzf7EbS1onqn7jQCe3/dtGLjrU/eo+ypg... | <image>As shown in the figure, in Rttriangle ABC, angle BAC = 90.0, AB = 3.0, AC = 4.0, point P is any point on BC, connect PA, take PA and PC as adjacent edges to make parallelogram PAQC, connect PQ, then the minimum value of PQ is () | \frac{12}{5} | 679 | [
"\\frac{6}{5}",
"\\frac{12}{5}",
"\\frac{5}{3}",
"2"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIYAAABmCAAAAAArVrbPAAAGIklEQVR4nO2bTWwbRRTH/y7FhHCIBY0UCZBDKtGcqFUh2AqpbKOUujdHHEgPKfGBKukpRQjoAcU9QIpSySAB7gFpU0TqC6pBHJaWD1OJyoqqyO3JlaLWtlBxCkWbHlJ7HaPHYW3HH7vemdm16YG/nDhej9e/nTfz5u17Ew/hYdCO/xrA0P8YjbLC0L/sKcZOi+NnnugphkVvXLi826UvqBzzeDyeQw9EMPL3XnOJAju/ilykUvELAQz9vems... | <image>As shown in the figure, AB parallel CD, AB = 6.0, CD = 9.0, AD = 10.0, then the length of OD is () | 6.0 | 680 | [
"4",
"5",
"6",
"7"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGMAAABjCAAAAACqUOFJAAAGhklEQVR4nLVZa2wUVRg9d4uQDTXwo5VVN1aw0mKNLLYkEDA2KlKC1CKQoIQQEilNMCmkGEExwaAJRohAUlAh8RFMjK2hPwhsI0gTJGJa3G1SU0hauwYxJcVYW+iUPub4Yx47s3v3MbPT0+7O/b77zZz9HnPvnTuC8AStc0Ip+3zeUIzXp+n0iGPfY8UACMjC4gUHcTz0NwAIQEwRh4gNLy3Mh9wJLzgI4NA7mA8AYopiJYDjjWIuAJBTFqvY... | <image>As shown in the figure, in triangle ABC, DE parallel BC, intersect AB and AC at points D and E respectively. If AD = 2.0, DB = 3.0, BC = 6.0, then the length of DE is () | \frac{12}{5} | 681 | [
"4",
"2.5",
"\\frac{12}{5}",
"10"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAABoCAAAAAD58KDRAAALBklEQVR4nLVbbWxT1xl+btoaMaW7IIzqtaZmJB2moWpK2i1SWQMjVdOKtZmWKf2RLkFlDVImkUopuIMROsGaqpWWSdmaCVVyNaZlU6QglVFLC+BuVEsXpLDlw20JbZBDcAktZgnUdsx99uP6436ce30d4PkR33POe9/nvOe+5+s9J6AFFN2PuUCTVIRyJLmwCwA2XLEigVXBzUMhmdozQb5tSV8CCxAELUpswPyPBIDp1cCLtb+xkLZklyBB... | <image>As shown in the figure, AB is the diameter of circle O, C is the point on circle O, chord AD bisects angle BAC, intersects BC at point E, AB = 6.0, AD = 5.0, then the length of DE is () | 2.2 | 682 | [
"2.2",
"2.5",
"2",
"1.8"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGwAAAB2CAAAAAAIQCnsAAAGgUlEQVR4nL1af2hVVRz/nG3VCEHBVw1ZDabBajDfNFDoxwL74wmGSgNbGg3cMpEoFuR/GxKEFEiEf8w26U0aDJPeIJsaGk4qJgWJDJ+BqLBRK6EWGm/2nvfTH/fHu/e+e+855777/LC9+96555zP+XzP93zPj3sFUQUuPNqmk72uGq7S23r5qyL7sOWJ+0Y2tnZBr0AVZPN31q98+H6RfboPWu5RDdnYx+JxzdKxyebvkNOtemUa4nL1TwE3... | <image>As shown in the figure, in triangle ABC, DE parallel BC, frac {AD}{DB}=frac {1.0}{2.0},DE=4.0, then the length of BC is () | 12.0 | 683 | [
"8",
"10",
"12",
"16"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIwAAAByCAAAAACkM2aLAAAIf0lEQVR4nM2bb2gb5x3Hv4+c4bV402AGq0RDzawRp3KITPrCmRPsYaf1RpSGzVm60RIXQlvIIAmrsvRFyV4ElnWBJswFKx7UZaN1qEtazyPaZDN1VYiHPeQRp8moVOzFZRlJt3jxwN6s++7F3Um6fzrZOp32Jcnd/Z7ndJ88z+95nt/zPHeCqIkmtjQbjR73OQAAe82MNYI5GTEpGIiaVFOsea/Zc2tSMlmxJQLAwFMDGCL2PFoAiP8DGHHx... | <image>As shown in the figure, AD•AB = AE•AC, angle ADE = 80.0, angle A = 60.0, then angle B = () | 40.0 | 684 | [
"40^\\circ",
"60^\\circ",
"80^\\circ",
"100^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAI0AAABfCAAAAADwwxtdAAAIL0lEQVR4nM2bbWxbVx3G/7cgQMgiEnM1jxpcmk7xFF5chQ+uNi1h6oY/VJkLFf5SsUwqCaKTai0VDdKE+VBpRupGgKXKNCGCmETWDIWXqnNE1HpSJTICuquU4Q3a5qKsEOQJZfWgd4l3Hj6ce6/v+z3HdlKeD/W99/zvOb/z4vPyOFVAIXr0t0S0+0YsLCZQUNwXkdoVmt9v8irwjX3vtUVj6Jyy68tbxc5poGzpGaKzB8fbwlCIiDTlKvCz... | <image>As shown in the figure, DC parallel EF parallel AB, iffrac {EG}{AB}=frac {1.0}{2.0},DC=6.0, then the length of GF is () | 3.0 | 685 | [
"2",
"3",
"4",
"1.5"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIgAAABzCAAAAABmhBVUAAAH0klEQVR4nM1bf2wUxxl9c/b2KuUkQJD6KpxAwJGdXFQs4Qoq2uC2VD7HvyMkiIJCo4JTiUhAkdrwR1SkIkFUqgapLm5IFZAS1SmkBuWAc2ICURMFC1RTyZVJC7WjUmLkVKKcI+Eb377+sXfns292d/a8a/r8x93szjd+971vvp35dlcQwaKvolarXyhYGpA7NTsGTIQvP7wSANz9HjCRI6tuCQAQ95nIaOpbD0b0ugZL5NDP8CiA+y7Nb7vE... | <image>As shown on the right, in triangle ABC, DE parallel BC, frac {AD}{AB}=frac {2.0}{5.0},DE=3.0,then the length of BC is () | 7.5 | 686 | [
"7.5",
"4.5",
"8",
"6"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMgAAABOCAAAAABA2gaHAAAKmElEQVR4nN1bbWxUVRp+zrROuzjdmtBqZZsMpcQ0W2MKCtSNZUwowrpltz9IABmXksAWbTaiabWbbTCbIBJplF0bwW12HUwTcUHMRtYdYcpHKRZLtOxaAT/oiHa1lKrFwaVTeu+zP+7H3JnOdO7ce+mPfdJO53y973k/zjnvfc+tIJwDhfzurDkAANnlIN1kkF0AfF0AQABwlJ8AqoTy9UbLoTA45hsgm8QNYNjsKwFUHU0DBEqI53xPwkFB... | <image>As shown in the figure, in the parallelogram ABCD, E is the midpoint of BC, and AE and BD intersect at point F. If the area of triangle BFE is 3.0, then the area of triangle ABF is () | 6.0 | 687 | [
"3",
"6",
"9",
"12"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFoAAABqCAAAAAAZuRlzAAAFSElEQVR4nLWaP2gkVRzHv7NIGotrNlxA4Ug2kHQ3clZykibCFZljRcHCJjYBsTAWe6TLqVcId5Ars7FJkVLdRa+bBNIIgkVSCBGdPSwXqwWbHU3ma/Hmzb75s/N+szv3JdnMvHnz2e/83v83cQix6MQfp8stQXanAnpy02BFkKsxA/mRJyHLXdPRn0cr7zE+LZXYtaM/B1j29Gk96ETdHayLMlZGHz11VmVBfK0i+SWIs8GrQL/c/RGQkQFW... | <image>As shown in the figure, in triangle ABC, D and E are the midpoints of AB and AC respectively. It is known that the area of triangle ADE is 1.0, then the area of triangle ABC is () | 4.0 | 688 | [
"2",
"3",
"4",
"5"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ4AAACKCAAAAAB+qawqAAAKGElEQVR4nM2cf2wT5xnHv+/52mRaWKINxhCBiJ9hC2hmikSCly2dEyU0NMCAkQhaQGTQNdkoCwg6mLauQYUVKG1JmwwkqNoIJIgIIIhNDA3qUqhmlCA1a+gUSDTYhohWAllLiO1nf7zn8/nnne07218pOd977919/Dzv8753z71nUIqqESh+sllASmqA3SA6+vQkRskmCaWxeT9tBrC1IDWtd/i/+wFg+syUsx4xYGze+u18LeWsxwDcvTlD... | <image>As shown in the figure, it is known that AB, CD, and EF are parallel to each other, and AB = 1.0, CD = 4.0, then the length of EF is () | \frac{4}{5} | 689 | [
"\\frac{1}{3}",
"\\frac{2}{3}",
"\\frac{3}{4}",
"\\frac{4}{5}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGEAAABbCAAAAABGjLS0AAAEMUlEQVR4nO3ZT2gcVRwH8O/vzWpscqiwFkSRtFtpPIkU8SLGIokU6cFAQXKw3ZwK9VQQqofCVgSrWaiXCqW1GwNpK4XNzcacWkzACtsmnoRSu4sEUwl0PaRO2n3z9TCzk+yf+dd5e8sPltn39u1+5vfm7ez+ZoTocaheA9tC99i42NLMmBfODLQ0zedweX5vb4Xa2vutHaaFjZP5+4M9FYrn+tu7aDRuARhaa+kym0PtB7K6d0dLn9HVWjt+... | <image>As shown in the figure, in triangle ABC, DE parallel BC, intersect AB and AC at points D and E respectively. If AE = 3.0, EC = 6.0, then the value of frac DEBC is () | \frac{1}{3} | 690 | [
"\\frac{1}{9}",
"\\frac{1}{6}",
"\\frac{1}{4}",
"\\frac{1}{3}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH4AAACDCAAAAABuRPCTAAAMcklEQVR4nM1bfXBU1RU/78XKFLauNBtdYId0gmgktoR0GBmbmdipH1iqxiGVQVRioZPWtdUpCAyFFKfMQKdUQs0UpkxxFSyhYLRTwMwUBWeiJXbGVZOAM0QmdSmEaDE0FDbvvXt+/eN97Nvdt7t3kxfaMwN5991z7u+ec+8999xz9ykgv4hVVlk9QbOIVShyMqpv6KRCJVVbT0QqFJaTucY/eFKIadfkqUSsyqrlm/ZMBFLfKL8CFNGoj8Yn... | <image>As shown in the figure, BE and CF are the two heights of triangle ABC. If AB = 6.0, BC = 5.0, EF = 3.0, then the length of AE is () | \frac{18}{5} | 691 | [
"\\frac{18}{5}",
"4",
"\\frac{21}{5}",
"\\frac{24}{5}"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH0AAACFCAAAAABTKqiNAAAKEElEQVR4nMWbe1QU1x3Hv3eXUSG2yWkrmpb0NGrMoyaip6VCTkx9BB8YjlUxFRHf7zdgFSOCiRGC+OYhiFErKLRWEw3RRuSIirFpmqNHc1IPakvwUaSVYwCFHdhf/5jXMjs7M7vsLr89Z+fOnXvv5/5+93cfc2eGEbpCnuQmAoClS+D8779Hl9Fp/4kBXUe/VRuNLqM/Wbb8zvNdRk87+Ki5vxAkv0sBgL51RETkf91v1pH9fHAQACDA7/DZ... | <image>As shown in the figure, the inclination angle angle ABD of the stairs AB with the length 4.0 is 60.0. In order to improve the safety performance of the stairs, the stairs are prepared to be rebuilt so that the inclination angle angle ACD is 45.0, then the length of the adjusted stairs AC is () | 2\sqrt{6}m | 692 | [
"2\\sqrt{3}m",
"2\\sqrt{6}m",
"(2\\sqrt{3}-2)m",
"(2\\sqrt{6}-2)m"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMUAAABoCAAAAABk0WscAAAIv0lEQVR4nM2ccWwT1x3Hvy/JLRVES1ShxeocwgITpmyMDaYwAbIrEuFs0RQpTGsoUonIRibGFoLaaatGs7FWWreSaE1U1m7DbWgXpKCy1ZBEkBFngQm1WlFLMaishOJKQUNb0qYS8dn57Y+72Gff+fzO7126Dyg6n+/9fu/3fu/93u/dPR8j8LDzzwC815dwXbz4FPFd9mpLlKh19Sey1PK1HTecViRUH/DLrYcENBEA7GSMsdMAExBkAacV... | <image>As shown in the figure, the cross section of the dam, the horizontal width of the slope AB is 12.0, and the slope of the slope is 1.0:2.0, then the length of the slope AB is () | 6\sqrt{5}m | 693 | [
"4\\sqrt{3}m",
"6\\sqrt{5}m",
"12\\sqrt{5}m",
"24m"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJAAAABpCAAAAADwsPW1AAAHQ0lEQVR4nN1bXWsUVxh+jlZT60ovmtRIUoW41YIXrmChH1tQ6EWEot60wUILBY1CCyppNVB/wApKoTQS8aJXhdgIxV60m1psL3IhRLoWLb1oJGlXSmmkiLu00STn6cXM7M7HmZlzzowp9E10z5zZ95nnvB/na04EkY/8trFdXlppj7PCSot43C15n9jp1AMdgMOH62yghaWFPL2WfrRgh21nIVA4H6FaO7CAWBJyGy9CtaFvLaeFIjWPeYVC... | <image>As shown in the figure, the cable is fixed at the height of 5.0 from the ground to fix the pole, the cable and the ground form an angle 60.0, then the length of the cable AC is () | \frac{10\sqrt{3}}{3}m | 694 | [
"10m",
"\\frac{10\\sqrt{3}}{3}m",
"\\frac{5\\sqrt{2}}{2}m",
"5\\sqrt{3}m"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHYAAABmCAAAAAA7GjpWAAAGuklEQVR4nM1abYhUVRh+zqwo0doN2k2lrclVdGMrxx8hYdCGKw4qq8WGI62VP1qhIjcU6kexEv3Y6IP94VpR4EYbru2GUn7MoKaWgRA0Rkub4OaIGZoS2go59+vpx/2Yz3vv2Z07Qw9c7vl4z3nu+865533Pe0cQYSM1JxYoEwmdVdsqIRQ+7Rv3LawhLe1rV+xPp1gLWmFdmclHG2fb1VrQAgCI917DIgnBcGnFrgExX0YwXNrMJJlslhCc... | <image>As shown in the figure, in triangle ABC, points D and E are the midpoints of AB and AC respectively. If the area of triangle ADE is 4.0, then the area of triangle ABC is () | 16.0 | 695 | [
"8",
"12",
"14",
"16"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJwAAABrCAAAAACnRLQwAAAJF0lEQVR4nM1bf2wUxxX+5mwnqeLI/xi8iAukGGISS40RprhAhJGKMFVqaOuKIqUNUQOpcFJQhUQjUbVSI9VRg0gljlIFKa6CVEd2WohIfUcSQyUsAXZ6SMGlaQ12BJEIUAl6lurs7u3XP/b2bu+8uzezt9f0k+5uZ2/mzTfvvXnzY2cFkUeqqQ3/V4gVLo09KgVzjdoSE0LMn4mSUgGxQk0HFi1VKCjsgie/mSZ/sGSGZbIrICU2AJgWYgPo... | <image>As shown in the figure, in the rectangle ABCD, AB = 4.0, BC = 2.0, point M is on BC, connect AM to make angle AMN = angle AMB, point N is on the straight line AD, MN intersects CD at point E, then the maximum value of BM•AN is () | 10.0 | 696 | [
"\\frac{17}{2}",
"10",
"17",
"20"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKoAAABlCAAAAAD4oyc/AAAJSElEQVR4nM1ce3BU1Rn/fWfZlBYc2ipMi8WQFyCFmdiZKhIyhkAIlPdjUFGQFsIrpJiXSSC8bWUmBoUQppZWcJSXIpZHMRAIQoA6zvDsTIsCEgotECmxRdHc3T1f/7j37m6Su7v3bvbe9DcTzj33nPOd337nO+d853EhhrNgAp8aAux8+PozatQshH2kjEFQps5oZD49sbcaNQ3HqUJ57vb57sCKPokWC3ayhU44bD22tysA1/geFguS07aq... | <image>As shown in the figure, in triangle ABC, angle ACB = 90.0, CD perpendicular AB at D, CD = 4.0, BC = 5.0, then AC = () | \frac{20}{3} | 697 | [
"3",
"4",
"\\frac{16}{3}",
"\\frac{20}{3}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKMAAAB8CAAAAAAgb1+mAAAKaElEQVR4nO1cXUwc1xk9d+2AiZGDH6C4dkyM5RRFKlnz0E4cx5iorTdpS5w2akyUB6w8pJWixC6Wiit37fRHbqvIjvtCaKusG9mBhxYcqYZEUQ2sg4lVR/BQFRxSU9dJAFcybtjsDMwypw/zs7PL7O7MepfdSj0Smp378+2Z79zv/g4riKKHr9AEXOD/HHODYuJoD42LQoizF88CKC6OwvqkPtE6S459d4ueXmxxTQGoT918txyQH32rCgBW... | <image>As shown in the figure, there is a square DEFG in triangle ABC, where D is on AC, E and F are on AB, and the straight line AG intersects DE and BC at M and N points respectively. If angle B = 90.0, AB = 8.0, BC = 6.0, EF = 2.0, then the length of BN is () | \frac{24}{7} | 698 | [
"\\frac{8}{3}",
"\\frac{16}{5}",
"\\frac{24}{7}",
"\\frac{7}{2}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIkAAABbCAAAAABiufkxAAAGU0lEQVR4nOWaa2wUVRTHz26h0wZpDeERoGBYMKI1pb4psaYgBSG1lGgU1iiUqDVAeSgGE8oH0SiPALYEbE1AygdpUFJA/EDQWkp41FBhRZ4lFKu1tCU4Ldvx3p3H8cNsuzvd2Zm53Zktif9sMzN37kx/87/n3p179roQ7hO5Hb07MjynoyRSvc96ZUdJ7qxjuL2TJP5dSWnWaztIQg8/xFLdORK56d60Icn3A4l//2vi+PuBhB7YNGaKyHCB... | <image>As shown in the figure, in triangle ABC, points D and E are points on edges AB and AC respectively, and DE parallel BC, if AD = 5.0, BD = 10.0, DE = 3.0, then the length of BC is () | 9.0 | 699 | [
"3",
"6",
"9",
"12"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAFUAAABUCAAAAADWwiQjAAAHyklEQVR4nK1Zf2xbVxX+XmPB2Kq50ozyqrrKuljCU9Dqkm4KLJBNTVOD6pKJoPxTRJA6RbSAOqlOI1HJVEyiG0NEEEHcTSJSU2lANlMWbdXsCWsLIhBEOpGSiD1vgXTEJUg4pGJe3vP9+OP9fv71EnH+iO89997vfvfcc89990QimsnN4pvScnHjbXbu3t+Ox1ujrlZKNYZITVDfyMzsPtSOT98V6sCNjTvzWH5bOz7waDMmrC/lqcFg99iK... | <image>As shown in the figure, triangle ABC is inscribed in circle O, angle BAC = 120.0, AB = AC, BD is the diameter of circle O, AB = 3.0, then the value of AD is () | 3\sqrt{3} | 700 | [
"6",
"3\\sqrt{5}",
"5",
"3\\sqrt{3}"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGUAAABhCAAAAADqhjAFAAAIv0lEQVR4nK1abWhb1xl+rmzHG9N6GybPKqhOydTZoEGVeWNeq1QKcUHZjEmJh/sjDLMFB5aWBhKYytylY4FpLC2B2pm7/ElYfpi4zIWZRSExUagDGW5RVpo5oU7szGFVpnRRJpepV1fn2Y+rjyvdD+kqe37o6rznvec53/ec5xyJaAxKzUSd7w5aebmaIIE1iS6q8Kq1V2MWWgZqwxM9/kdgkSwDACSwxHUi+M/y31ZYrMEyrwSs5b7f9VWT... | <image>As shown in the figure, in circle O, angle ABC = 130.0, then angle AOC is equal to () | 100.0 | 701 | [
"50^\\circ",
"80^\\circ",
"90^\\circ",
"100^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKQAAABeCAAAAACI1+DiAAAMcUlEQVR4nLVbf3AU5Rl+9oCi9iSooZwamyqMHITG62n1RPTsTFpOSzVMca5YbGNLyx/wRyZpp3GGOcYpM9KOWlriNAwzNY5pG0fEOg0MTrEkiG3A6IUWEtR0jByMIaV6cEJDuH2f/rE/bm+zd7e7mT4zN/v9fp993/f79vt1oFeokgSAFocs8dyYO8yERzAg3YtiD1z+ys0bRVH0RAkAABRrOWVqyC8CXisoomAkjlmNHyJAAIDorUhxOWuI... | <image>As shown in the figure, AC and BC are the diameters of two semicircles, angle ACP = 30.0, if AB = 20.0, the value of PQ is () | 10\sqrt{3}cm | 702 | [
"10cm",
"10\\sqrt{3}cm",
"12cm",
"16cm"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIwAAAByCAAAAACkM2aLAAALBklEQVR4nMVbcWwbVxn/zhGEddGCNI/cNLeuOld162p4ZKhGzXAZGTUkk4IW1HbNtAw6OhSkmSmMgLoFUMcyLbCiBpGSSjMisFTrlEiELhVBcli0RUs1D0hxUF3qzkHzyKR5Sgoud34//rg7+8737mw3dvJF0b33ve/e/e573/ve9z6/E0A6euhlInIt3kwEgdafHIbabw/Ega97/0O0EViKwOQkL9GP7n2aiMCXX0cwb24BEW3/O22Maoxg... | <image>As shown in the figure, in the quadrilateral ABCD, AB = AC = AD, angle CBD = 23.0, then angle CAD is () | 46.0 | 703 | [
"47^\\circ",
"46^\\circ",
"45^\\circ",
"44^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAABrCAAAAACk33hdAAAKi0lEQVR4nK1abWxcRxU9b+0SRLddBJtmq2zrtnGbTS0al02FSxbZAVcyIjKpZMmNZFQDaQxEqBvFKFvk4vzIj60oIkJJ5IoijJIK0xi5QhVdI0O2NFRuXeFUcnBCHOx2HbrtgnCzrpr67c7hx/t+b3bzXtoj+ePdmblnZu7MnZk7oxC+QUX70X7pv52Y3NAqKRjyzwFF/9G1SzjUx6UFg5BYZLLmE8DQ7c2fFIm0EVCA463/lma/PhIdhKNN... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, angle BCO = 40.0, then the degree of angle A is equal to () | 50.0 | 704 | [
"60^\\circ",
"50^\\circ",
"45^\\circ",
"40^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG4AAABwCAAAAADa7BrMAAAK5klEQVR4nL1abWhk1Rl+7mRtKC7mh0l3WgeC7izOEqmxWXFkR7LFtE5xYqcQyUpTGmG7K6zSSDMSypaUInS1oS400sQUNq0pTWk0LaY4mIjZNmJsVuOP6EacbFdi3Vlj6chsMTe5c57+uF/nzr135s5mtw8kc8/Xfe57znnPOe97XoXwBxXp4c1Pl9bWoS5CIRJ1uLn57hsPVGjrDcVNZ5FYidLc3GtvtXw5cdM+XHe3AuAMsHpx/pNzd329... | <image>As shown in the figure, A, B, and C are three points on circle O, angle ABC = 25.0, then the degree of angle AOC is () | 50.0 | 705 | [
"25^\\circ",
"30^\\circ",
"40^\\circ",
"50^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGsAAABuCAAAAAAFGbJjAAAKnElEQVR4nL1afWxT1xU/z9Bkk6y6XY14CIPZMIppqi2VQYtKNMNINVfNIN1cWVPTKlVpMhUmIpFO2ZopnZSp0cakVkrWAJqabnTLSiCAMmQ0PtyRalnNZFADgTUUU0N5nZlkZrb5peb+9sf79nvP9kuzHkXx/Tjv/u4999yPc87lQJ8buT4/KFpcPevtc5duJoiu3ACRbzXds8G3JuR2gsVVJ8Prp/6UuNm0YvV6N63yE+GjNN1JXslM+jY1... | <image>As shown in the figure, A, B, and C are points on circle O, angle ACB = 32.0, then angle AOB is equal to () | 64.0 | 706 | [
"16^\\circ",
"64^\\circ",
"148^\\circ",
"32^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGsAAABkCAAAAACkgpEFAAAJzklEQVR4nLVaf2xT1xX+7MLcatnciRfFFe7SgVlMQ7fQMCkTtAlbSj2VsTCiBmmZyqSSaEolvDUaYUIN05DmqUxlUsKC6NZU2rRshKXduuFoDMLEtNBQHKSEJMMsgcBw50yEOYjnYN63P95P28/Pz176JdLzve/e+51zz333xznXQdjDndHJW0PA1ZsEvKuxfKN3TXWJzboKHHa4bpz+89CtTY+v/kIJnigHcG0GCyNXZ895N9fXly0l1+TP... | <image>As shown in the figure, points A, B, and C are on circle O, if angle ABC = 35.0, then the degree of angle AOC is () | 70.0 | 707 | [
"20^\\circ",
"40^\\circ",
"60^\\circ",
"70^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIAAAACGCAAAAAAwDN0KAAAMgUlEQVR4nMVbbWxb1Rl+nZYxrQZPqksv4zK3xGjpwoqLkQjCnVtRCW/LRKaFRRGZiEaYkaJqWeimSHTNflRTJgUR1CCC+gMjghRpKflBV1IRhgOulmE0IzWdQXUh4CBcgobBRXXx5Tz7cT98P8+9dsJ4lI97zz3nvM8573u+3nOOD9QsXruurem0dbQ0mkAjLB3cAPFNEPCpD38J3fiNEFCAZ2/90Oce7esj8OGl6HXf+aYIgIieGKQfboT8... | <image>As shown in the figure, points A, B, and C are on circle O and connect AB and AC. If angle BOC = 100.0, then the degree of angle B + angle C is () | 50.0 | 708 | [
"25^\\circ",
"50^\\circ",
"100^\\circ",
"无法计算"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKAAAAB3CAAAAAChnxRmAAANoklEQVR4nL1cbWxb1Rl+3QLZJg8X6ii32x0urSFe3SGXMC0bYW41A54IURhm7rZsuKvXIAVpnhqmIMICm7UFUbRMcsEoTBgtE9kaFCaKlkKqGSmIQJgciZSkIqUuzlazVJs7V5rbuffZj/vhe+17fT9s9vzxPeeej+e85+t933OubaBPCMdsd/APsCl/zcHWdIICj8ueKz41FLbISoYNjTOqgsBo4vPLY6mtzzXefnwyKLnTADJh5lCxsYKa... | <image>As shown in the figure, place the vertex of the right triangle 45.0 angle on the center O, the hypotenuse and the leg intersect circle O at two points A and B respectively, and C is any point on the major arc AB (not coincident with A and B) , Then the degree of angle ACB is () | 22.5 | 709 | [
"30^\\circ",
"22.5^\\circ",
"90^\\circ",
"15^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHsAAABkCAAAAACDLBDtAAAMPUlEQVR4nKVabXBVxRl+doPE1tAL5WbIyMWICRDEQUBEVDSI4UNEqiUVVHDAaoLiQKg4RcUwjgpYtNYaEKEVtGVEgzhWTKKCJBpbQAGlASImIUwiJqFVILFwIbtPf5yPe+6959yP8Py4d8/Zd99n33ff/TwriLjQEhSAltaLk18fOvYpUd8MIJCF7tf2G3BVmi0bXlQLEf3agEiAO1RUSzRv377juxsv6T+qBy/tJ7U82oiO3Q1Nn/W7KS+v... | <image>As shown in the figure, the line segment AB is the diameter of circle O, the chord CD 丄 AB, angle CAB = 20.0, then angle AOD is equal to () | 140.0 | 710 | [
"160^\\circ",
"150^\\circ",
"140^\\circ",
"120^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAABuCAAAAADAayjyAAAKWklEQVR4nMVbf2wUxxV+i1uBxIVDeF0u+IgT/wgHjpQrJoXWdgzhUJ3EOBQcnD/c1FUR19atdH/QcrQkJqolLBU1bmoIkkkLEpVcxdTIQcZVneRojOr2SJy0xnaJaZzaKoZzUhPb5Jyu9+sfu3u3v3fWuTSfhG9m9s18M2/ezM6+NxB9juDwOZJ/wW0FcER0++2RGzGi6xNE5C+gL5b6i0o8OhkGuB/5+Gu9scnStQUPebh77iWi98doNn59... | <image>As shown in the figure, the vertices A, B, and D of parallelogram ABCD are on circle O, and the vertex C is on the diameter BE of circle O, connect AE, angle E = 36.0, then the degree of angle ADC is () | 54.0 | 711 | [
"44^\\circ",
"54^\\circ",
"72^\\circ",
"53^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJ0AAABqCAAAAACD2gyrAAAObElEQVR4nLWbfXAc5X3HfxsMuojUh4lVzg3xWuZFF5igVTyNz7XN2o5KljDAKnV64JHNuQ0+p6bl6DTh6DQXkTa5RikHQylnnGkPT2qf+8LJdMJhGpq10sKdk8hrkymrtPVadgsrKlgzk8rPITH77R93utfdu9uT9B3pTvs8zz77eX7Py/6eF3GgxQpcfcj0pPo/F26lQ30DJ++hTR7y+zrMesXiqWrgTipv/PfE1X23mz+7labTp8/cQ6Gb... | <image>The diameter of the protractor coincides with the hypotenuse AB of the right triangle ABC, where the endpoint N of the scale line of the protractor O coincides with point A, the radial CP starts from CA and rotates clockwise at a speed of 3.0 degrees per second, and CP and the semicircular arc of the protractor ... | 120.0 | 712 | [
"150^\\circ",
"120^\\circ",
"75^\\circ",
"60^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAABkCAAAAACpnOFCAAAJ4ElEQVR4nLVaf2wT1x3/nGGmomndCVe4rZERMaqrIC00TM02b4Hitp6IJ6pGyyQyNVKpMppNTaW4SqVs2dRMSylSUZdJuAg105iK1GxhbaZmcgDDMildkMJEaEBcGGAQt7nSDM6k2Jj77I87n+/OZ/scsk+k+N73/fi87/vxfe993xMIe7h97uKtBLBwk4C3Hl/5lndzU53NvBoEO2w3TsYTt4Ib6r9eh40+gNevYnFmITnl3REKrV9ZtotH... | <image>As shown in the figure, the three points A, B, and C are on circle O, and angle ABO = 50.0, then angle ACB is equal to () | 40.0 | 713 | [
"100^\\circ",
"80^\\circ",
"50^\\circ",
"40^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAACUCAAAAAB0YhKNAAAPo0lEQVR4nMVcfXRU1bX/3TsZJgmRFMEolA9DAgWiBBPUCAjykSiJtLEiAVyiXQSqZT0ttOutpxWptLSvVniv9GO1Qi30PRGoVIsIRUEhIhBAIhC+BELEUAGFBJJM7nzc83t/3Htn7szcO3NnxrXeXsCce+7e+3f2Pufs83mRiJSJElCXN1RLpEJy6tiQgOC/AUSK2GmBA/jFwAEpQ6cLvqb4QjriaYG3dJTmZf9/ga+Yj+HpyKcDvubXUv90... | <image>AB is the diameter of circle O, point C is on circle O, if angle C = 15.0, then angle BOC = () | 30.0 | 714 | [
"60^\\circ",
"45^\\circ",
"30^\\circ",
"15^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHUAAABxCAAAAADO/rN2AAANf0lEQVR4nK1af3Bc1XX+3tNiGTAViVd0BZtsMALJVUazVmKsJo4lD56ywQaWxHShI+i6UUdpnIwd223dVoikuEUZHI86KFMbtcPSiMSdGDmZGlBaAWsiF1vOoBkjaTNjEWSvJ7OWp7BmZbLS7rtf/3i/d9/uPnt9Rtp377n3ne+ec3+dd+4FXZAg8zEgtPT3FG7qVyQZLkjCBc8ZcmhZAyQ39SuTq7Ytte4iyb5Xr4umrnQl8JMPnyGAxjt5... | <image>As shown in the figure, the two chords AB and CD in the circle intersect at E, angle D = 35.0, angle AEC = 105.0, then angle C = () | 70.0 | 715 | [
"60^\\circ",
"70^\\circ",
"80^\\circ",
"85^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHIAAABqCAAAAABFM1pXAAAKJElEQVR4nK1af2wcRxX+Nk51KHF7lF7IlV5w21zEBRf7sB1qKVbd0FNrREApNXUiXJSIqAZMVcs1akpM3ApLGNGqkWKoS0C9ikJc4eJKVKkrOeRcEkjlBjupk3MbJ3J0bnvB+cPlbFjjy378Mbt3e3v70/Eny7Pz4/ab92bm7XszIxFeQAnAJ+OTHyeAizMAQhtxw9bQpupSQxsbSN4okfrrcCK9dcPGLaXS528HcHka86MXUydC22Kxz0oW... | <image>As shown in the figure, AB and CD are the two chords of circle O, connect AD and BC. If angle BCD = 70.0, then the degree of angle BAD is () | 70.0 | 716 | [
"40^\\circ",
"50^\\circ",
"60^\\circ",
"70^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHYAAAB3CAAAAADzkOtoAAAKlklEQVR4nL1bXWwcVxX+xoqYTdXG9YOTrYBMUyjePJRMIyGWImVskNoVD8kGVXFTIWXbB1xRJDYKUOehG1qhukJkTZ6c9IENKNX2BTctitOC5HUSwjoPsEYg1sbtOmlV1s7D2qEiM2PDHB7m787Mnd2Zjc0ny7tz/75zzj1z7u+CusAJAEh/2k1VCz3oAj8/d5Turn+3m6oWuqLduPQtbB+6B1YgrnkMIlocWKFz/dfJIOP/ZWQBwPTCLuGT... | <image>As shown in the figure, A, B, and C are on circle O, if angle BAC = 24.0, then the degree of angle BOC is () | 48.0 | 717 | [
"12^\\circ",
"24^\\circ",
"48^\\circ",
"84^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGoAAABkCAAAAABLQPo7AAAKR0lEQVR4nK1af2wT1x3/OsxlZdbcqdfhakeNiilOQ7N06bSoTWUhMmEJJoU1IqSkWiYFRVVA8iDTYPVwu6E10tigVaTRomnuygTTMoWujIIIq7OlUqRsMhqmToXZQh2EkTvNzEEzd8d99sfdvfvpsx3lozj37v36vB/f933vfb/nAdWHO5fnbqWIrt8EEb+OvM/x69t9dZZV4KmHauHPF1O3Otes+7qP1gaJ8Ok8Lc5ez0/zm7q6Vi8j1dyv... | <image>As shown in the figure, points A, B, and C are all on circle O, if angle C = 34.0, then angle AOB is () | 68.0 | 718 | [
"34^\\circ",
"56^\\circ",
"60^\\circ",
"68^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIkAAACFCAAAAABKjYRuAAALpUlEQVR4nO1bf3BU1RX+bh66qJsu2tAsJWXBhBJYKaFgRQETapB1EjBqqnakQzITQRtaaImKI7px1CG2cYgdwoAwNY7MgIKNFqwbDUNScMCCkzgkEppENkU7gWQ0ceM0Mfv29I/33u7bvF93X0j0Dz4y7Lu/v3fOueeed999jMCDtybdwVVvNCAjrMJW+nZWExERDbomhw0rXiYkGVJ8pzqIq34vXVdNuXbPWIvEmAnSzwGDWSDgYuWdvvL+... | <image>As shown in the figure, circle A with a diameter of 10.0 passes through point C(0.0,5.0) O(0.0,0.0), B is a point on the circle A major arc on the right side of the y-axis, then the degree of angle OBC is () | 30.0 | 719 | [
"30^\\circ",
"40^\\circ",
"50^\\circ",
"60^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAAB2CAAAAADe5fOJAAALl0lEQVR4nL1af3BU1RX+7kMXh6aN1EWWsna1rHYjNC6BdnCMbLSZMbZpu1WcyEzGYocxM8UZU8aOdIrxj+KYttCmldE4tOO2Yo01hVYR1hmUBdJK+aNLHUmwBF2JygJWYwOT3e2++/WP997ue29fsu9t0p5J9t3f3z333J/nHEF4JKkAAIf8EeG1qk6K5xoaUvF+CADSc5drxiQeC4UAQKmFV++YBCB+2/i+FqqFauCTxHsTK6+ch/+fPCEE... | <image>As shown in the figure, triangle ABC is inscribed in circle O, angle A = 15.0, connect OB, then angle OBC is equal to () | 75.0 | 720 | [
"30^\\circ",
"60^\\circ",
"65^\\circ",
"75^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG4AAABiCAAAAACU8rlcAAAJDElEQVR4nK2abWxbVxnHn9sOLE0RFpJLzHq3bK2LMsyCWQR11YAHi6irVWoQgRIWtIwPy1CGGmVFCqi0mlSVCEWiHzJRKR/qwRCZmpEhodYTmXDaFDxcyd2U1ZmWqi+utHQumovTce/inj8fzr3X9+Vc33vd/lWlx+c85/7O+7sECiBIXj6QTJ5nvtBpM98QhEZ2Guw+HKR51n/u+MB9gXB07sOldz6mK1eJpK2baVP8qw9sd0/P0Y6HHOn1... | <image>As shown in the figure, in circle O, angle ABC = 40.0, then angle AOC = () degrees. | 80.0 | 721 | [
"40",
"20",
"80",
"50"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIMAAACNCAAAAACx/JbKAAAOZ0lEQVR4nLVcfWwcxRV/e4Fe2hqOii1eyMGF5KJcFZQcOBWOeujcYqSjTVUjLEyqtHGl0FDcCiuYcm2jHFHdYsColuoWV/mDS5NWkXCVtA3BVS1lnRjhyMAhampQjsapjXpg1F50jrLG5/n1j9nb793b88dT4t2dz9+8efNm5r2ZI6wEZQVKLfyULTF3gJZJIJoR3mE4fO0twpLLWDYtbN0PAAdPL7WAZfOB6A///TkR0Ybbl1qAgOVCKDd8... | <image>As shown in the figure, A, B, C are the three points on circle O, and angle CAO = 25.0, angle BCO = 35.0, then the degree of angle AOB is () | 120.0 | 722 | [
"100^\\circ",
"110^\\circ",
"120^\\circ",
"130^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHkAAABxCAAAAADUwlP4AAAL9UlEQVR4nMVbf2xTxx3/XELNuqbyWN1iCVch2FHdJlXTJV2ZCHVoQ9sIvFKRlkyCkqgMMqUSqYqBqHTONKqmhImsomoCbICga7oGBZFoQO2uzpqqsGRKkBIRxDOQJYxkidSmpFucBn/3x3vPfr/9HljaR1bs+767+9z3e9+7+767CyhNiPsBAH7TBTKQJrBTfo4o5DVdIG3MAHOjpdTzf2AOr8IBNzabL5CufqYWBnAW8qdP587L5HdbyJ82... | <image>As shown in the figure, AB is the diameter of circle O, chord CD perpendicular AB, E is a point of arc BC, if angle CEA = 28.0, then the degree of angle ABD is () | 28.0 | 723 | [
"14^\\circ",
"28^\\circ",
"56^\\circ",
"无法确定"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG8AAAByCAAAAAB45tD5AAAMRElEQVR4nL1af2zV1RX/fL8PR+YKT8djPORhUao+rUGsU5nUgFrkbWDGItplI7GJaBO7zYosdAtijDUQxQ0HiyjbhA1HJwS2UKHGKg9ls1QzMi2tCpjqQ3wUGJXCKOV772d/fH+87+9+33PZSZvcd77n3s8995577rnnXoUojqiQKvDW2KsBqZJqcdWLFAcUKCpw/qeghAql2PojisXTaXl5uaKUUrFo/QCAf5ryebHzUCoeAXz+5Y3Jb/yf... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, and it is known that angle B = 70.0, then the degree of angle CAO is () | 20.0 | 724 | [
"20^\\circ",
"30^\\circ",
"35^\\circ",
"40^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAABrCAAAAACk33hdAAALgklEQVR4nK1af2wcxRX+doNJ1V7qqjmTC1xwSUx9iSVwnJSa5JANXIWrojRtI1lIbrEKwqhR4QKhOUowRYqEURGKqgSioqpWSMElxrQVwjZyEgelrWNCnFYGB2Jil3PJ5fgDx0dLfLmZr3/M7t7+OrNHeUq8t7Pz3vdm3sybeW9GIwKT1EHq6of110bUMBCp92F0V1yIdEDTARrSPawa8klfncsBMWXp8BMlATx69bVfEAgIzfbb/KEDz9R/... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, angle OCB = 30.0, then the degree of angle A is equal to () | 60.0 | 725 | [
"60^\\circ",
"50^\\circ",
"40^\\circ",
"30^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGQAAABnCAAAAADTHbgmAAAKFklEQVR4nKVaf3BU1RX+3ntRO2btqiyyDIuJSahL0YqAIxRoYEhLWhJN+NGE6VrCyBgwdohtHOOIDbTQ4KijTInDKA4wxWkYYoOEhmQKmpTOgG7GH2NiYgk1mAibbixhsmuXTt77+sd7b/ft7tvdt5vDkL333PPud8+5955777lXINIkClYl2+VSNSGmiwEBiDSMAGHWTgLf7tQz6YOoOJGUADPVBKAue4GWybJa8fVPBq52E5dGALjycdPS... | <image>As shown in the figure, circle O is the circumscribed circle of triangle ABC, AB is the diameter, if angle BOC = 70.0, then angle A is equal to () | 35.0 | 726 | [
"35^\\circ",
"45^\\circ",
"40^\\circ",
"30^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAABnCAAAAADnZHk6AAAJAUlEQVR4nLVabWhb1xl+bpqqjIho2ZRFpQpuE6XWphSUOYNtcXA+vMUdXXCZNw/qgE03+4cHMdhdMmaW/TDDkJZl4AR3bWnK+sMjZt6W0snMIcrID29OcEqV2l6U2UEOUePQOpUL1rV3n/24utK9V/fjXEV7ELr3HJ1znvc976vz+YJVhqJPnIV0SD5uW3YDvIFuBaTS64L0AZW3fE/alvVKLpVn2cmz1tT5OvB0707bxjZ6JFfx8MbsvSQ4... | <image>As shown in the figure, in circle O, diameter AB = 5.0, chord AC = 4.0, then the distance from point O to line AC is () | 1.5 | 727 | [
"1.5cm",
"2cm",
"2.5cm",
"3cm"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHwAAAB6CAAAAABYLGh/AAAMf0lEQVR4nMVbb3BU1RX/vURZp66NlodsytJtYTXrhI6hScdQsAkSamwppUNqdErrOqbETuyQDjjEDtP4gQ/piNPUIRQHHcPIh7TEYkdGlhFlbYPGCZ1gDQ1ogNBAWdi0RjeWtyS+Xz+893bf//cWYj0TePfdf797zj3v3HPvPQvOOHUBtVc2+KlZhBmmUeFd8oVZpb4qzzDbV8rWk+TG3s+D813/eRoAFiz0U1ngjGJPff3hzaDgs/YMc37+... | <image>As shown in the figure, AB is the diameter of circle O, if angle BAC = 35.0, then angle ADC = () | 55.0 | 728 | [
"110^\\circ",
"70^\\circ",
"55^\\circ",
"35^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHYAAACSCAAAAAC1GWFZAAALs0lEQVR4nL2bf2wT5xnHv++5qyutqzc1yOmgSouDFIa0mY2pmQLYKaGExY4iwRQ00jUpFaWClaRNirumTRBBuCpV0g66JC0LVFQLaiNSCI1TJ8MpZKUSUvIHHZ5md6HAmrRUDZBJsOF79sed7fP5ftpOHkW5u/d97z7v87zv+/j9yQgAgOGHHZhH4cTr2vmEJrAveEVlaX6wjACgy7F2nniicAAQZQ97MW+ailhC11YUAWDzimXd+1nh/NoY... | <image>A pair of right triangle plates are placed as shown (angle ACB = angle ADB = 90.0 ), angle CAB = 30.0, angle BAD = 45.0, AB intersects CD at E, then the degree of angle CEB is () | 75.0 | 729 | [
"30^\\circ",
"45^\\circ",
"60^\\circ",
"75^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG8AAAA/CAAAAADLIMlLAAAGJ0lEQVR4nKWZX2hbVRzHv6l13dPKWOaukJltzbQ61M4ODDhWxTmiJrCH4hQLRigTLbgNmlmwmpeidRQtWrChglX6MFihCBt0ZGOVdSxaNBOqmexmjfTBYHzoyB7ujfF+fbh/kntzb3Lv/FJue+855/c553d+529BBylOCc6yFEkBMSYsedrhIB99dp///vXmn9f+wffwEYEuHw89tDfcoRepz5gPJYi8L9Vg1gnYqPyVa1ewa/+WQ+0IdwD4... | <image>As shown in the figure below, point C is on the semicircle O with AB as the diameter, angle BAC = 20.0, then angle BOC is equal to () | 40.0 | 730 | [
"20^\\circ",
"30^\\circ",
"40^\\circ",
"50^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGgAAABcCAAAAACnnK/GAAAKQElEQVR4nK1abWxT1xl+LtRAFafm40YYYeYygmJkpoamW12VLtmWTZkWM9ohhan9kU7dgkbXZRqm2YYUujI1/RJoitSk3UQqZSqV0NIPT0qVIExFtWRkClVNE8SlJA0VbpO2Tg2tl5veZz/Oufa99o3jJDyK4nPfc+55znvue97zng+FKB6DU0OXP1QSowCCKjb771l3V9HvKkUS8e3Y6TPBDff6trIsCODCFEavxT6+9L2amnsLvaZk/rMY... | <image>As shown in the figure, AB is the diameter of circle O, angle ABC = 25.0, then the degree of angle D is () | 65.0 | 731 | [
"70^\\circ",
"75^\\circ",
"60^\\circ",
"65^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAABrCAAAAABYylOXAAALr0lEQVR4nKVab2xbVxU/z2npYJ7cgUfeVJewxRPpXFgyd6tRPZyydM2memSaIQWClkod+RABnlRnGRS8SUVkdJryIdOcdpMiKCjSMqVbi0ixp7osZRmOSIZSkinPU4pb1cX94OIgUtd7Pz685/fu+2e/lJ/k5L775/zuPffe884793IgS6TuaQbHPIOTftIf0pTZg6NG2R4ijUBO/sk06yezYgOIBsLNZDpyzjzbBjjLhsfu3XOrQi1hqcks... | <image>As shown in the figure, triangle ABC is the inscribed triangle of circle O, BD is the diameter, if angle DBC = 18.0, then the degree of angle A is () | 72.0 | 732 | [
"36^\\circ",
"72^\\circ",
"60^\\circ",
"无法确定"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAABtCAAAAACOk7CKAAAKDElEQVR4nK1abWxb1Rl+blnDtgaZbTeqJUwNJG0MYZJLYA0iwikLasZKCFqrDCmoqVQSUCdh1kxkUrVUWtEyUY0iJaWoQxQJbWEpSlXtwxFhGKnaugXVTHJJuyYkxUV15SAFnIlc19xnP+71/bDvx3HKI0u+59z3Pc857/m473nPAb82dAHAuKcIfAtJpETpOk8wAU/pNXAHAeDasx4SNlyb24ZGbxEvNgkA9m9oEGT7+wO1eLYv6injaRuV... | <image>As shown in the figure, AB and CD are the chords of circle O, and AB parallel CD, if angle BAD = 36.0, then angle AOC is equal to () | 72.0 | 733 | [
"36^\\circ",
"54^\\circ",
"72^\\circ",
"90^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHAAAABtCAAAAABcw7rSAAAKbElEQVR4nK1af1Bc1RX+7gtp2nF163TprsNGVIgsQ6zLJCpTaUETGx2jokkljqihTRMt2JBhZ0JG6uIUJ+tIx2SSzWC1YxxxjE0oiY0WplHJTJzBSSyxQwSapZKihpV2JAVbksD7+se+3by3+36ufJOw79137v3OOfe+c8+79wrCHBQWApliPd6gsaBk1VIaHw1uVWIXN5u1Z0moy5XBQ9VP89WF80BIpXGh4UlRiUv8e0q/SPdDNoTCqBGh... | <image>As shown in the figure, A, B, and C are the three points on circle O, if angle C = 35.0, then the degree of angle OAB is () | 55.0 | 734 | [
"35^\\circ",
"55^\\circ",
"65^\\circ",
"70^\\circ"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAI0AAAB4CAAAAADqai7TAAALfklEQVR4nL2cf2ycdR3H30/ZYSjF03CwK7tw+1HZLZvbjYWkyOS2QEKFJZZkoXZAVqVhS4ZxqcM0UVvEGWcyzBJLrLJkV9JlVYc3A44uKdKOEYtdLEHmldC5LldNmyIUt8m55/a8/eP7PHfP71+97pPL3fN8f76ez/f38/18TyK85PTtKasjJQA4N/3n8wVg6iIkNiwDViS/uiylelPSQmmy4xiAxAe1zllJTjTlhEqbfmNDg/Nvjoyf21S/... | <image>As shown in the figure, the vertices A, B, and D of parallelogram ABCD are on circle O, and the vertex C is on the diameter BE of circle O, angle ADC = 54.0, connect AE, then the degree of angle AEB is () | 36.0 | 735 | [
"36^\\circ",
"46^\\circ",
"27^\\circ",
"63^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG8AAAB9CAAAAACJsGIsAAAMI0lEQVR4nL1bf2xV1R3/3NuHNfrck/gYb/PBE1r1QQmpK0biagpSxzNAqPK2qjCpxoVsdbOwurENLUazscgiLl1Sp4vPRYzER0qMU7rU2C6wsNSszhVfkSIPWsPDOq17xb15b+9nf9wf7953f7z7YPIhbc8595zzOed7zvf8+H4PoD8oKSAh/dxnbneI8IUJ8V3y2Vlf95fbC75aJS3dRpKPvn5R+kfs/eRxAKhdcBH6p5BSXfcFd8x3/wTg... | <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 A is () | 25.0 | 736 | [
"25^\\circ",
"30^\\circ",
"40^\\circ",
"50^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHoAAAB/CAAAAAAF/4mLAAANt0lEQVR4nMVbbWxb13l+rkRFTaZCNcrAzMpE8qSszJitcrnC3OyN2qw0DCItCqpCzZoBKqDMBdyiXiG1HipABeYiypoNGqoiUl2sLuCgGmpMSqNg7MQsVMssapNU3spAak059BTMch0gcqgitHh5nv249/J+f9AVsPeHxPvec85zznvfj3Pecw64TzQACVhupAb2AVUo2MtcRrGBahKxTyQRm93FruAVmvYLOTsO/M14A8jYD4GTJOeAhsRN... | <image>As shown in the figure, it is known that circle O is the circumscribed circle of triangle ABC, angle AOB = 110.0, then the degree of angle C is () | 55.0 | 737 | [
"55^\\circ",
"70^\\circ",
"60^\\circ",
"45^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH8AAABrCAAAAAB7kQJCAAAJo0lEQVR4nLVbbWxb1Rl+T0iF1IYa1NthVJeMxCm3c1elTasFNSyN6qlhRFp/RMs2spEiUKSGH1YbRhgd6SBokWhHNYIWqdJmpKFFW6RUomvXLRVu1rFUjhTUODhQZw3YqK5cUSMnWljc++zH/bB9P891wpOP63PuOe9zznve8/keE1YPyTQ2TNS68gunvBW0KoCIiCnPQgxRil0Dzqzb4ixhzasvQcLKzqMA8Mr5r7n+RmUQMWL07hevEYFq... | <image>As shown in the figure, AB is the diameter of circle O, and point C is on circle O. If angle A = 40.0, then the degree of angle B is () | 50.0 | 738 | [
"80^\\circ",
"60^\\circ",
"50^\\circ",
"40^\\circ"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHkAAABzCAAAAACZCvLzAAAKOklEQVR4nL1bfWxT1xX/3QRKR9Nl0ww1wyJ8GOERjRlC1VSkfGipFg2kpSojwPIHaGVMSiulLK1SlWHo0JRpTGNaq2YaEukEW7RlcyahkGrpcCgUWFihfBnUUEAOwizdII2zZcK83/54H77v+dl+z8/akZJ377nn3d87537fcwyWjBQ5rWU2AUBgwk68DCUjIae1zG83xcmti/5tJ073EGPnr96JAddHAAQWYOqKwMJlj8sCND7iweY/ANg8... | <image>As shown in the figure, if AB is the diameter of circle O, CD is the chord of circle O, angle ABD = 55.0, then the degree of angle BCD is () | 35.0 | 739 | [
"35^\\circ",
"45^\\circ",
"55^\\circ",
"75^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGwAAABpCAAAAAD6wJmiAAAKb0lEQVR4nLVabWybVxU+zjoKzMMbe0PfaW/JtHiqSyCkddEimhJV5Ic38iOwQAhLNSO6RSIgmZIfFgoLSAWC1GkRy1hHxeqijBUR6Ca61kC7JiVIYa5IQdncsWwLdUpNjYQ7p5J3/eY+/Hi/P/2xcH7Y9z333Pvcz3PPPecGQLXR9YuXrs4SvXkFRFIr3bxbujcarLGsRoFawFZf/uPs1a6trZ8K0t0tRLi8QmuZN3Pz0t6eni0bCnbp5y+W... | <image>As shown in the figure, points A, B, and C are three points on circle O, angle BAC = 40.0, then the degree of angle BOC is () | 80.0 | 740 | [
"80^\\circ",
"40^\\circ",
"50^\\circ",
"20^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGoAAABkCAAAAABLQPo7AAAH1UlEQVR4nLVabWxbVxl+zvX1itaAqeYu0eoRuriqq5RQlk5UW6QoYEFYmRhatS4igkZa1R/hRwgZymBqqNQfkWAaaPkRxEeNhLYxBbIfVdRKnWpnnTbIJCZI4lRN6IIt5ixBaqgjhfr6PPy4H7m2r6+vk9xHss7Hfe99znvOe16fc94jiKqgsCcA1j9c+DhFsZgFEGnBfY9HDrU3VL609UIJhAtVCbJvv339446HWx5rwOebASx/hPzMUuZG... | <image>As shown in the figure, in the circle O with a radius of 5.0, if the length of the chord AB is 8.0, then its distance from the chord OC to the centre is equal to () | 3.0 | 741 | [
"2",
"3",
"4",
"6"
] | B |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGAAAABgCAAAAADH8yjkAAAJEUlEQVR4nK1aXWwU1xX+ZusKG1UYVCwcFeGAWnlRJTrQqmyCyJqIVKYPlRO1MiAHllSw8FJMpaqu0mxMpeCGtov60NoglXVJjZNKbF8qU7VKxkkbvGll1uGBdSRYm6hknVDWRA2M8Xjv14fZ+d2Z3VnTT/LuzL3nnu/ce86ce+esJcILlCgZV3PTmVs5YOpTRFagNbx9Y9josT6Nr0pI3gQGZt4ZVx62P7FhMyCvRmYBc7l/zhZ2PdWxteqw... | <image>As shown in the figure, point O is the center of circle O, points A, B, and C are on circle O, AO parallel BC, angle AOB = 40.0, then the degree of angle OAC is equal to () | 20.0 | 742 | [
"40^\\circ",
"60^\\circ",
"50^\\circ",
"20^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAG0AAAB/CAAAAADAjRMaAAAJSklEQVR4nLVbf2wUxxX+Zh1KVNw6SG7sVhc5PttgekYJxYBbu74jIUorfpQUKFBBzDWRoHIkSMsh0lLZqGmhGDWNRFVLJLpznCqkOII2rgRqK+7OVIVilVS9E3Zt30GxalMsBcqhJhHe1z9m93b37nZ3dn33yVrvzs6bb97Mm7czb+YYwTWGPI8zZxKSGxqlhu1wSOaOjZMc8Nc6FnTbkvSWt51AzrRzpRsAXIfHD6dN6ZrtVx200rGQW7a+... | <image>It is known that: as shown in the figure, the diameter AB of circle O is perpendicular to the chord CD, and the foot of perpendicular is E. If AB = 10.0, CD = 6.0, then the length of BE is () | 1.0 | 743 | [
"1",
"2",
"3",
"4"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHEAAABwCAAAAAAMScCpAAAKS0lEQVR4nL1afXBVxRX/7d4AjkRftYlECY1DEvMwjkNULAO0CYpg1UFRlGkHK3Ra0mnsBC11cOiE0tGWGa2jbUSmVUFtR6dGoHYKSUUIttNBoQnTSfgMSEzUEBiLvKfykd1f/9h777vv6368Us8f9969e8/+zjl79uzu2QsWQFqrVqDhTHMhzBJRiSD6rX+T68aURWYGgELEPFOzhCQffv3L0RHA8588SQCVlWB0ZhGdh+euXbQcAAqTNzIP... | <image>As shown in the figure, the radius of circle O is 10.0, AB is the chord, OC perpendicular AB, and the foot of perpendicular is E. If CE = 4.0, then the length of AB is () | 16.0 | 744 | [
"8",
"12",
"16",
"20"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIgAAABdCAAAAABbInESAAALF0lEQVR4nK1abXBU5RV+3pswWKCTtiSFOoEU1AJiKUotnUFNlYzCIC0OzmCgUmSw1DJQWItKSYNfU7GgoKJSw0jwE0VRUELFptONVPlQwYiuGBqDG2oSKSQsMWR33/fpj/ux9+7ee3fvwvmRzd4973mfe85zzvspCLtQ4JyJArTctQudX88dDgUNzK5miQMzAzXNigNC5QOEgAjgEXp+AaCUphl4ggMRLgZ9xA+yMsxSy92gk07BKTJTCE0M... | <image>As shown in the figure, the edge length of the square ABCD is 3.0, and the equilateral triangle PCD and equilateral triangle QCD are made on both sides of CD with CD as one edge, then the length of PQ is () | 3\sqrt{3} | 745 | [
"\\frac{3\\sqrt{3}}{2}",
"\\frac{2\\sqrt{3}}{3}",
"3\\sqrt{3}",
"6\\sqrt{3}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGoAAABmCAAAAAAGiFswAAAGj0lEQVR4nL1aQWgcVRj+3sxiQVJ76EpXiYQ2WxqIQiAeogg9uJVIM2nBaHpYoWpIDwUN0kRv66EHaSv2kEO3vRSaQAqVWIlQulvowYMllXqIVuhsSUmr1RRamwjBnX2fh9mZnZnMzCYzs/6wO2/+9+//vf+ff7557+0IAgAFUN7ZiZaKAgAQAPaJ1iJBAUAQmNB2xnAzKBQhBACGGJGSpCxeBSOKJEntDjke7kIxs3cXu7SoEZmJ7wROaBNh... | <image>As shown in the figure, in the square ABCD, E is a point on DC, F is a point on the extended line of BC, angle BEC = 70.0, and triangle BCE congruent triangle DCF. Connect EF, then the degree of angle EFD is () | 25.0 | 746 | [
"10^\\circ",
"15^\\circ",
"20^\\circ",
"25^\\circ"
] | D |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGYAAABmCAAAAAActLu+AAAF/ElEQVR4nL2aT2gcVRzHv29ntRJjV0nXmMIGQT20ShJhKzZ/Skg9iARBowhbJNtKTS8VsoJQLzmJBwuCObhqaQ9tCNSKEa2BxuaymrS9pIKJXauXBDaIaXVrQt3s7H49zJ+dnZ3dfTs70x/szpv35/eZ3/u9eTPv/UYQ90IC94SCYAN1V1Lp00AWABDCA7Gn9++VbSprzXS/EL1n8d3CAkmSCwsXcKZXiINfyrVnfcnFgWgy51S0OdkNHK+v... | <image>As shown in the figure, it is known that the radius of circle O is 5.0 and the chord AB = 8.0, then the distance from the center O to AB is () | 3.0 | 747 | [
"1mm",
"2mm",
"3mm",
"4mm"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGIAAABnCAAAAADeA8hhAAAK5ElEQVR4nK2af3BU1RXHz93s3U2WhU1IIoFJiIkQQiJBsKmhBuIIQsA40JbihCpVEssAxR8RZFIdKopoQVPFVKVaDSNFBwVnUJCIjBBoVDrFiGBChUBZIRAwP9gk+/Pdb//Yfbtvd9/ue4GeyeS9d++553POve/dn8tA6gJGYOpZ36X2Wn295huTwrRjCouFUJOBcz/tuMLoPSKzwZlYODphWPmkVKvSL1JBDQLRdmD74eR+g/uW3IobLjo8... | <image>As shown in the figure, MN is tangent to circle O at point A, angle AOB = 60.0, then angle BAM is equal to () | 30.0 | 748 | [
"120^\\circ",
"90^\\circ",
"60^\\circ",
"30^\\circ"
] | D |
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