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": "iVBORw0KGgoAAAANSUhEUgAAAH8AAABdCAAAAACpsubyAAAOu0lEQVR4nL2ae5DU1ZXHT3fT08Mwwg4PEReZQkMWwwI+ltJiqVAaH/gq2WztUqCxVHApJbEQQ3apUlx1g26MeahVxkeplGJYTXDNBlZZSJZRtyLWDm6MzKJxgsAsL6dt5jf9+93f7XvuZ//4dTMPpmeGJuX5p/vXfX/ne+8555577vfeFFKjkBIRkbcmTK9Vg4hIuuY3E3j3zaQz0vvjC8FPZF3zlJ7OVD6+OPz1szsqX0vHalFwavgHui88... | <image>As shown in the figure, the tangents PA and PB of a circle drawn from a point P outside circle O, the tangent points are A and B respectively, if angle APB = 70.0, then the degree of the minor arc AB sandwiched by these two tangents is () | 110.0 | 749 | [
"110^\\circ",
"70^\\circ",
"55^\\circ",
"35^\\circ"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAOsAAACeCAAAAAD2jqJ7AAAUMUlEQVR4nOVdf3BUVZb+rsGBLaJBp6m0RUujNENrgjYTXDJDnAQNRbsGCEucaAllqImELawC11QJJVuBXSxjFe7gTqKhcHfiijVxwYG1QDoLSDKEIQiYdgiTIIk0m6gdE4eEhDEhr9/ZP/rXe93vvX4/AWu/qqS737vv3Pvde+595/46lxF0gFj4LwG93ae/OwlioRYAyAfAcu0ed6bwMeGnpBDrwHRxFSKc3D/+z/lgS4bHbV8IYsgHgGYA... | <image>As shown in the figure, PB is tangent to circle O at point B, PO intersects circle O at point E, extends PO and intersects circle O at point A, connects AB, the radius of circle O OD perpendicular AB at point C, BP = 6.0, angle P = 30.0 , then the length of CD is () | \sqrt{3} | 750 | [
"\\frac{\\sqrt{3}}{3}",
"\\frac{\\sqrt{3}}{2}",
"\\sqrt{3}",
"2\\sqrt{3}"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAMAAAABvCAAAAACf/ZDgAAALsElEQVR4nNVcb2wbZxn/nVf3z9bOqyCpJ8q8TC1xQWxuP1BvE712GiUSKHNGVacbLO4+YNAQc5VJy4Tm/flAGGKuxAfc5MPcQpkzJNKuUrMPleo0XZaC0BwQmhO5c7ICczIJhxGWa33jHj6cfb6zfb73/rgTP0Xy/Xnf58/7PO9zz73vc+EIdiH8atA2Detw2aYg9v/bATksw4YCFdulznU7I4o12FCAAwDkr/Xa90IbsOVCBAg/fvrvXZ+l... | <image>As shown in the figure, PA and PB are tangent to circle O to A and B respectively. Point C and point D are the moving points on line segments PA and PB, and CD always remains tangent to circle O. If PA = 8.0, then perimeter of triangle PCD is () | 16.0 | 751 | [
"8",
"12",
"16",
"不能确定"
] | C |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHMAAABvCAAAAAD6PKDaAAAKHUlEQVR4nN1aX2wcRxn/rZvLH0SwDXJ8oa3PTgW5CKk++pAsUHIxgsbhwTlT1GuERN0H6iIeuCoV5KE6iaIShBoHXnokDzWqTBwkckkj6tS06jlG6ZlK6AIS+CqHi+OovbuUrhuleI/dsB8Pu7O7dzuzu+fkiV+i9d58M99vvvmz8803IxHaQblWqJcv3wQASATIXbsH+uXNbemAJOIkycM3N1vY3pvcHh/ssmULq8XrVxd27XtkqB1e8oNh... | <image>As shown in the figure, in the two concentric circles, the chord AB of the great circle is tangent to the small circle at point C. If AB = 6.0, the area of the ring is () | 9\pi | 752 | [
"9\\pi",
"6\\pi",
"3\\pi",
"\\pi"
] | A |
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAH4AAACFCAAAAAC4HROOAAAMA0lEQVR4nMVbfXAV1RX/3X2kERIaESnByZhCnhhLbflQgrZCnLwkoHkJra1OHcvYVsABWhR5KR2r4KhFPjpaP0aDtqjF1lpaKYkCb0NB/EL5CDM4TWbYF7DWAaGF1KAgH/vrH7tv9+6+fe/tbgI9f7y9976993fPuefec+65dwURlhpbASB8fQBQwlddH9fIhAhR0+5yeHgCFcDyeHPwqsLqRHh40V4JAJVdAeuZrK8SSiOa+yD8ZB1AVASt... | <image>As shown in the figure, the squares P and Q are sandwiched in the ABCD frame, the angle between the lower edge of the square P and AB is 15.0, and the angle between the two adjacent edges of the square P and Q is 150.0, then angle 1 is () | 15.0 | 753 | [
"55^\\circ",
"15^\\circ",
"50^\\circ",
"70^\\circ"
] | B |
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