images
listlengths 1
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| problem
stringlengths 14
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| answer
stringlengths 1
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| id
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| choices
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stringlengths 1
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|
|---|---|---|---|---|---|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6532.jpg"
}
] |
<image>Does Firebrick have the minimum area under the curve?
|
No
| 25,384 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6592.jpg"
}
] |
<image>Does Royal Blue have the maximum area under the curve?
|
No
| 25,444 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6652.jpg"
}
] |
<image>Does Web Maroon have the maximum area under the curve?
|
No
| 25,504 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6677.jpg"
}
] |
<image>Does Rebecca Purple intersect Yellow?
|
Yes
| 25,529 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6836.jpg"
}
] |
<image>Is Mint less than Lime Green?
|
No
| 25,688 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6853.jpg"
}
] |
<image>Is Medium Blue less than Dark Red?
|
No
| 25,705 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6950.jpg"
}
] |
<image>Does Dark Slate have the minimum area under the curve?
|
No
| 25,802 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6966.jpg"
}
] |
<image>Is Dark Blue the smoothest?
|
No
| 25,818 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6989.jpg"
}
] |
<image>Does Dark Gray have the minimum area under the curve?
|
No
| 25,841 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7029.jpg"
}
] |
<image>Does Dark Violet intersect Dark Olive?
|
Yes
| 25,881 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7055.jpg"
}
] |
<image>Does Medium Periwinkle intersect Dark Violet?
|
Yes
| 25,907 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7061.jpg"
}
] |
<image>Is Web Gray the smoothest?
|
No
| 25,913 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7152.jpg"
}
] |
<image>Does Dark Magenta have the maximum area under the curve?
|
No
| 26,004 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7170.jpg"
}
] |
<image>Is Sienna the smoothest?
|
No
| 26,022 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7181.jpg"
}
] |
<image>Is Cornflower the smoothest?
|
No
| 26,033 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7191.jpg"
}
] |
<image>Does Indian Red intersect Medium Mint?
|
Yes
| 26,043 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7197.jpg"
}
] |
<image>Does Brown have the maximum area under the curve?
|
No
| 26,049 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7256.jpg"
}
] |
<image>Does Black have the highest value?
|
Yes
| 26,108 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7467.jpg"
}
] |
<image>Is Light Salmon greater than Slate?
|
No
| 26,319 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7604.jpg"
}
] |
<image>Does Medium Turquoise intersect Hot Pink?
|
Yes
| 26,456 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7617.jpg"
}
] |
<image>Does Saddle Brown have the minimum area under the curve?
|
No
| 26,469 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7661.jpg"
}
] |
<image>Is Saddle Brown the smoothest?
|
No
| 26,513 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7755.jpg"
}
] |
<image>Is Firebrick the roughest?
|
No
| 26,607 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7765.jpg"
}
] |
<image>Is Dark Gray the low median?
|
No
| 26,617 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7818.jpg"
}
] |
<image>Is Web Green less than Violet?
|
No
| 26,670 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7871.jpg"
}
] |
<image>Does Peru have the minimum area under the curve?
|
No
| 26,723 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7901.jpg"
}
] |
<image>Does Medium Purple have the lowest value?
|
Yes
| 26,753 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/7953.jpg"
}
] |
<image>Is Dark Periwinkle less than Dodger Blue?
|
No
| 26,805 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8008.jpg"
}
] |
<image>Does Slate have the minimum area under the curve?
|
No
| 26,860 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8030.jpg"
}
] |
<image>Is Sky Blue the minimum?
|
No
| 26,882 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8042.jpg"
}
] |
<image>Does Peru intersect Blue Violet?
|
Yes
| 26,894 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8178.jpg"
}
] |
<image>Does Light Sky Blue have the maximum area under the curve?
|
No
| 27,030 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8277.jpg"
}
] |
<image>Does Light Salmon intersect Medium Mint?
|
Yes
| 27,129 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8299.jpg"
}
] |
<image>Is Chocolate less than Dodger Blue?
|
No
| 27,151 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8333.jpg"
}
] |
<image>Is Periwinkle the high median?
|
Yes
| 27,185 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8404.jpg"
}
] |
<image>Is Navy Blue the high median?
|
Yes
| 27,256 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8465.jpg"
}
] |
<image>Is Light Seafoam the low median?
|
Yes
| 27,317 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8499.jpg"
}
] |
<image>Is Aqua the smoothest?
|
No
| 27,351 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8503.jpg"
}
] |
<image>Is Aqua the low median?
|
Yes
| 27,355 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8614.jpg"
}
] |
<image>Does Purple have the lowest value?
|
Yes
| 27,466 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8860.jpg"
}
] |
<image>Is Olive Drab greater than Indian Red?
|
No
| 27,712 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8897.jpg"
}
] |
<image>Does Web Gray have the minimum area under the curve?
|
No
| 27,749 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/8974.jpg"
}
] |
<image>Does Teal intersect Salmon?
|
Yes
| 27,826 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9054.jpg"
}
] |
<image>Does Cornflower have the maximum area under the curve?
|
No
| 27,906 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9163.jpg"
}
] |
<image>Does Web Gray have the minimum area under the curve?
|
No
| 28,015 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9192.jpg"
}
] |
<image>Is Deep Sky Blue greater than Indian Red?
|
No
| 28,044 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9245.jpg"
}
] |
<image>Is Web Maroon greater than Web Purple?
|
No
| 28,097 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9298.jpg"
}
] |
<image>Is Light Salmon less than Rebecca Purple?
|
No
| 28,150 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9399.jpg"
}
] |
<image>Is Purple the smoothest?
|
No
| 28,251 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9419.jpg"
}
] |
<image>Does Medium Mint intersect Magenta?
|
Yes
| 28,271 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9437.jpg"
}
] |
<image>Does Gold have the maximum area under the curve?
|
No
| 28,289 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9492.jpg"
}
] |
<image>Is Bubblegum greater than Red?
|
No
| 28,344 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9526.jpg"
}
] |
<image>Does Dark Green intersect Dark Blue?
|
Yes
| 28,378 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9560.jpg"
}
] |
<image>Does Light Coral intersect Burlywood?
|
Yes
| 28,412 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9578.jpg"
}
] |
<image>Is Hot Pink the smoothest?
|
No
| 28,430 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9582.jpg"
}
] |
<image>Is Web Gray the smoothest?
|
No
| 28,434 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/9591.jpg"
}
] |
<image>Is Dark Olive the smoothest?
|
No
| 28,443 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/15.jpg"
}
] |
<image>如图,学校环保社成员想测量斜坡CD旁一棵树AB的高度,他们先在点C处测得树顶B的仰角为60°,然后在坡顶D测得树顶B的仰角为30°,已知斜坡CD的长度为20m,DE的长为10m,则树AB的高度是()m．
Choices:
(A) 20√{3}
(B) 30
(C) 30√{3}
(D) 40
|
30
| 28,494 | null |
30
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/32.jpg"
}
] |
<image>如图,已知E是菱形ABCD的边BC上一点,且∠DAE=∠B=80°,那么∠CDE的度数为()
Choices:
(A) 20°
(B) 25°
(C) 30°
(D) 35°
|
30°
| 28,511 | null |
30°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/51.jpg"
}
] |
<image>如图,一副分别含有30°和45°角的两个直角三角板,拼成如下图形,其中∠C=90°,∠B=45°,∠E=30°,则∠BFD的度数是()
Choices:
(A) 15°
(B) 25°
(C) 30°
(D) 10°
|
15°
| 28,530 | null |
15°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/76.jpg"
}
] |
<image>如图,小聪把一块含有60°角的直角三角板的两个顶点放在直尺的对边上,并测得∠1=23°,则∠2的度数是()
Choices:
(A) 23°
(B) 22°
(C) 37°
(D) 67°
|
37°
| 28,555 | null |
37°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/142.jpg"
}
] |
<image>如图,直线a∥b,∠1=75°,∠2=35°,则∠3的度数是()
Choices:
(A) 75°
(B) 55°
(C) 40°
(D) 35°
|
40°
| 28,621 | null |
40°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/147.jpg"
}
] |
<image>如图,AB∥EF,CD⊥EF,∠BAC=50°,则∠ACD=()
Choices:
(A) 120°
(B) 130°
(C) 140°
(D) 150°
|
140°
| 28,626 | null |
140°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/173.jpg"
}
] |
<image>如图,正三角形的边长为6,点P为BC边上一点,且PC=4,D为AC上一点,∠APD=60°,则CD的长为()
Choices:
(A) \frac{3}{4}
(B) \frac{4}{9}
(C) \frac{4}{3}
(D) \frac{1}{9}
|
\frac{4}{3}
| 28,652 | null |
\frac{4}{3}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/183.jpg"
}
] |
<image>如图,已知AB=AC=AD,∠CBD=2∠BDC,∠BAC=44°,则∠CAD的度数为()
Choices:
(A) 68°
(B) 88°
(C) 90°
(D) 112°
|
88°
| 28,662 | null |
88°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/195.jpg"
}
] |
<image>如图,PA、PB是⊙O的切线,AC是⊙O的直径,∠P=50°,则∠BOC的度数为()
Choices:
(A) 50°
(B) 25°
(C) 40°
(D) 60°
|
50°
| 28,674 | null |
50°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/248.jpg"
}
] |
<image>如图,在△ABC中,AB=1,AC=2,现将△ABC绕点C顺时针旋转90°得到△A′B′C′,连接AB′,并有AB′=3,则∠A′的度数为()
Choices:
(A) 125°
(B) 130°
(C) 135°
(D) 140°
|
135°
| 28,727 | null |
135°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/276.jpg"
}
] |
<image>如图,AB是⊙O的一条弦,点C是⊙O上一动点,且∠ACB=30°,点E、F分别是AC、BC的中点,直线EF与⊙O交于G、H两点,若⊙O的半径为7,则GE+FH的最大值为()
Choices:
(A) 10.5
(B) 7√{3}-3.5
(C) 11.5
(D) 7√{2}-3.5
|
10.5
| 28,755 | null |
10.5
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/293.jpg"
}
] |
<image>如图,在⊙O中,∠ABC=130°,则∠AOC等于()
Choices:
(A) 50°
(B) 80°
(C) 90°
(D) 100°
|
100°
| 28,772 | null |
100°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/305.jpg"
}
] |
<image>如图,A、B、C三点在⊙O上,∠C=30°,⊙O的半径长为3,则AB的长为()
Choices:
(A) \frac{3}{2}
(B) 3
(C) 5
(D) 6
|
6
| 28,784 | null |
6
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/309.jpg"
}
] |
<image>如图,已知AB∥CD,若∠A=25°,∠E=40°,则∠C的大小是()
Choices:
(A) 25°
(B) 40°
(C) 65°
(D) 115°
|
65°
| 28,788 | null |
65°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/316.jpg"
}
] |
<image>如图,在四边形ABCD中,∠B=120°,∠D=50°,将∠C向内折出一个△PRC′,恰好使C′P∥AB,C′R∥AD,则∠C的度数是()
Choices:
(A) 80°
(B) 85°
(C) 95°
(D) 110°
|
95°
| 28,795 | null |
95°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/347.jpg"
}
] |
<image>如图,CD为⊙O的直径,过点D的弦DE平行于半径OA,若∠D的度数是50°,则∠A的度数为()
Choices:
(A) 50°
(B) 40°
(C) 30°
(D) 25°
|
25°
| 28,826 | null |
25°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/373.jpg"
}
] |
<image>如图,△ABC中,∠BAC=70°,将△ABC绕点C顺时针旋转一定角度,得到△DEC,点A的对应点为D,ED过点A,则旋转角的度数为().
Choices:
(A) 30°
(B) 35°
(C) 40°
(D) 45°
|
40°
| 28,852 | null |
40°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/391.jpg"
}
] |
<image>如图,在△ABC、△ADE中,C、D两点分别在AE、AB上,BC、DE交于点F,若BD=DC=CE,∠ADC+∠ACD=114°,则∠DFC为()
Choices:
(A) 114°
(B) 123°
(C) 132°
(D) 147°
|
123°
| 28,870 | null |
123°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/399.jpg"
}
] |
<image>将矩形ABCD沿AE折叠,得到如图所示的图形,已知∠CED′=50°,则∠AED的大小是()
Choices:
(A) 65°
(B) 50°
(C) 75°
(D) 55°
|
65°
| 28,878 | null |
65°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/493.jpg"
}
] |
<image>如图,四边形ABCD内接于⊙O,BC是直径,AD=DC,∠ADB=20°,则∠DBC为()
Choices:
(A) 30°
(B) 35°
(C) 40°
(D) 45°
|
35°
| 28,972 | null |
35°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/510.jpg"
}
] |
<image>如图,在⊙O中,弦BC=1．点A是圆上一点,且∠BAC=30°,则⊙O的半径是()
Choices:
(A) 1
(B) 2
(C) √{3}
(D) √{5}
|
√{3}
| 28,989 | null |
√{3}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/559.jpg"
}
] |
<image>如图,一块直角三角板ABC的斜边AB与量角器的直径重合,点D对应54°,则∠BCD的度数为()
Choices:
(A) 54°
(B) 27°
(C) 63°
(D) 36°
|
63°
| 29,038 | null |
63°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/608.jpg"
}
] |
<image>如图,AB是⊙O的直径,C、D是⊙O上的两点,若∠AOC=116°,则∠D的读数为()
Choices:
(A) 64°
(B) 58°
(C) 32°
(D) 29°
|
32°
| 29,087 | null |
32°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/655.jpg"
}
] |
<image>如图所示,矩形ABCD与⊙O相交于M、N、F、E,若AM=2,DE=1,EF=8,则MN的长为()
Choices:
(A) 2
(B) 4
(C) 6
(D) 8
|
6
| 29,134 | null |
6
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/671.jpg"
}
] |
<image>如图,点E在正方形ABCD的边AB上,若EB的长为1,EC的长为2,那么正方形ABCD的面积是()
Choices:
(A) √{3}
(B) √{5}
(C) 3
(D) 5
|
5
| 29,150 | null |
5
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/698.jpg"
}
] |
<image>如图,在Rt△ABC中,∠C=90°,AC=4,BC=3,以BC上一点O为圆心作⊙O与AB相切于E,与AC相切于C,又⊙O与BC的另一交点为D,则线段BD的长为()
Choices:
(A) 1
(B) \frac{1}{2}
(C) \frac{1}{3}
(D) \frac{1}{4}
|
\frac{1}{3}
| 29,177 | null |
\frac{1}{3}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/714.jpg"
}
] |
<image>如图,已知CD为⊙O的直径,过点D的弦DE平行于半径OA,若∠D的度数是50°,则∠C的度数是()
Choices:
(A) 25°
(B) 40°
(C) 30°
(D) 50°
|
25°
| 29,193 | null |
25°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/726.jpg"
}
] |
<image>如图,正方形P、Q夹在ABCD框架中,正方形P下边一条边与AB夹角为15°,正方形P、Q有两个相邻边夹角为150°,则∠1为()
Choices:
(A) 55°
(B) 15°
(C) 50°
(D) 70°
|
15°
| 29,205 | null |
15°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/731.jpg"
}
] |
<image>如图,正方形ABCD的对角线交于点0,∠BAC的平分线交BD于点E,若正方形的边长是1cm,则DE的长是()
Choices:
(A) \frac{1}{2}cm
(B) 1cm
(C) 2cm
(D) \frac{3√{2}}{4}cm
|
1cm
| 29,210 | null |
1cm
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/744.jpg"
}
] |
<image>如图,A,B,C,D,E,F是平面上的6个点,则∠A+∠B+∠C+∠D+∠E的度数是()
Choices:
(A) 180°
(B) 270°
(C) 360°
(D) 540°
|
180°
| 29,223 | null |
180°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/783.jpg"
}
] |
<image>如图,在矩形ABCD中,AB=2,BC=3,AE是∠BAD的平分线,EF⊥AE,则AF的长为()
Choices:
(A) 3√{2}
(B) 4
(C) 2√{5}
(D) √{10}
|
√{10}
| 29,262 | null |
√{10}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/798.jpg"
}
] |
<image>如图,为修铁路需凿通隧道AC,测得∠B=20°,∠A=70°,AB=130m,BC=120m,若每天凿隧道5m,则把隧道凿通需()
Choices:
(A) 10天
(B) 9天
(C) 8天
(D) 11天
|
10天
| 29,277 | null |
10天
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/799.jpg"
}
] |
<image>如图,小明要测量河内小岛B到河边公路l的距离,在A点测得∠BAD=30°,在C点测得∠BCD=60°,又测得AC=60米,则小岛B到公路l的距离为()
Choices:
(A) 30米
(B) 30√3米
(C) 40√3
(D) .(30+√3)米
|
30√3米
| 29,278 | null |
30√3米
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/880.jpg"
}
] |
<image>如图,一块含30°角的三角尺置于直尺上,∠1=25°,则∠2的度数是()
Choices:
(A) 55°
(B) 45°
(C) 35°
(D) 25°
|
35°
| 29,359 | null |
35°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/886.jpg"
}
] |
<image>如图,△CAB绕点C顺时针旋转34°后得到△CDE,若∠ACE=88°,则∠DCB的度数是()
Choices:
(A) 34°
(B) 28°
(C) 22°
(D) 20°
|
20°
| 29,365 | null |
20°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/896.jpg"
}
] |
<image>如图,在DABC中,点D是BC上的一点,已知ÐDAC=30°,ÐDAB=75°,CE平分ÐACB交AB于点E,连接DE,则ÐDEC=()
Choices:
(A) 10°
(B) 15°
(C) 20°
(D) 25°
|
15°
| 29,375 | null |
15°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/949.jpg"
}
] |
<image>如图,有一块含有30°角的直角三角形板的两个顶点放在直尺的对边上.如果∠2=44°,那么∠1的度数是()
Choices:
(A) 14°
(B) 15°
(C) 16°
(D) 17°
|
16°
| 29,428 | null |
16°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/998.jpg"
}
] |
<image>如图,点A在直线BG上,AD∥BC,AE平分∠GAD,若∠CBA=80°,则∠GAE=()
Choices:
(A) 60°
(B) 50°
(C) 40°
(D) 30°
|
50°
| 29,477 | null |
50°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1012.jpg"
}
] |
<image>如图在△ABC中,D是AB上一点,E是AC上一点,BE,CD相交于点F,∠A=70°,∠ACD=20°,∠ABE=32°,则∠CFE的度数为().
Choices:
(A) 68
(B) 58
(C) 52
(D) 48
|
58
| 29,491 | null |
58
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1019.jpg"
}
] |
<image>如图,在Rt△ABC中,∠BAC=90°,将△ABC绕点A顺时针旋转90°后得到△AB′C′(点B的对应点是点B′,点C的对应点是点C′),连接CC′.若∠CC′B′=32°,则∠AC′B′的大小是()
Choices:
(A) 32°
(B) 45°
(C) 13°
(D) 30°
|
13°
| 29,498 | null |
13°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1051.jpg"
}
] |
<image>如图,在▱ABCD中,AB=6,AD=9,∠BAD的平分线交DC的延长线于点E,CE的长为()
Choices:
(A) 2
(B) 3
(C) 4
(D) 2.5
|
2.5
| 29,530 | null |
2.5
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1086.jpg"
}
] |
<image>如图,EF过▱ABCD对角线的交点O,并交AD于E,交BC于F,若AB=4,BC=5,OE=1.5,则四边形EFCD的周长是()
Choices:
(A) 16
(B) 14
(C) 12
(D) 10
|
12
| 29,565 | null |
12
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1101.jpg"
}
] |
<image>如图,在▱ABCD中,∠A=125°,P是BC上一动点(与B、C点不重合),PE⊥AB于E,则∠CPE等于()
Choices:
(A) 155°
(B) 145°
(C) 135°
(D) 125°
|
145°
| 29,580 | null |
145°
|
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