images
listlengths 1
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| problem
stringlengths 14
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| answer
stringlengths 1
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| id
int64 91
70k
| 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/3536.jpg"
}
] |
<image>Does Dark Seafoam have the minimum area under the curve?
|
No
| 22,388 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/3549.jpg"
}
] |
<image>Is Deep Sky Blue less than Rebecca Purple?
|
No
| 22,401 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/3565.jpg"
}
] |
<image>Does Medium Turquoise have the maximum area under the curve?
|
No
| 22,417 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/3610.jpg"
}
] |
<image>Is Magenta the high median?
|
Yes
| 22,462 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/3708.jpg"
}
] |
<image>Is Web Purple greater than Salmon?
|
No
| 22,560 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/3859.jpg"
}
] |
<image>Does Lime Green have the maximum area under the curve?
|
No
| 22,711 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4064.jpg"
}
] |
<image>Is Hot Pink the smoothest?
|
No
| 22,916 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4186.jpg"
}
] |
<image>Does Teal intersect Cadet Blue?
|
Yes
| 23,038 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4241.jpg"
}
] |
<image>Is Sienna less than Yellow?
|
No
| 23,093 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4307.jpg"
}
] |
<image>Does Hot Pink have the minimum area under the curve?
|
No
| 23,159 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4360.jpg"
}
] |
<image>Does Dark Red have the maximum area under the curve?
|
No
| 23,212 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4488.jpg"
}
] |
<image>Is Gold the smoothest?
|
No
| 23,340 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4665.jpg"
}
] |
<image>Is Cornflower the roughest?
|
No
| 23,517 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4729.jpg"
}
] |
<image>Is Light Salmon greater than Yellow Green?
|
No
| 23,581 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4910.jpg"
}
] |
<image>Does Medium Turquoise intersect Yellow Green?
|
Yes
| 23,762 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/4949.jpg"
}
] |
<image>Does Dark Periwinkle intersect Dodger Blue?
|
Yes
| 23,801 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/5627.jpg"
}
] |
<image>Is Rebecca Purple less than Magenta?
|
No
| 24,479 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/5771.jpg"
}
] |
<image>Is Purple the smoothest?
|
No
| 24,623 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/5957.jpg"
}
] |
<image>Does Medium Periwinkle have the highest value?
|
Yes
| 24,809 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6188.jpg"
}
] |
<image>Does Dark Orchid intersect Royal Blue?
|
Yes
| 25,040 | null |
Yes
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6261.jpg"
}
] |
<image>Is Aqua greater than Dark Salmon?
|
No
| 25,113 | null |
No
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/FigureQA/6519.jpg"
}
] |
<image>Is Medium Seafoam greater than Periwinkle?
|
No
| 25,371 | null |
No
|
[
{
"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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/1158.jpg"
}
] |
<image>如图,线段AB过圆心O,交⊙O于点A、C,∠B=30°,直线BD与⊙O切于点D,则∠ADB的度数是()
Choices:
(A) 150°
(B) 135°
(C) 120°
(D) 100°
|
120°
| 29,637 | null |
120°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1159.jpg"
}
] |
<image>如图所示,直线MN与△ABC的外接圆相切于点A,AC平分∠MAB,如果AN=6,NB=4,那么弦AC的长为()
Choices:
(A) 4
(B) 5
(C) 6
(D) 9
|
5
| 29,638 | null |
5
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1160.jpg"
}
] |
<image>如图,在Rt△ABC中,∠BAC=90°,∠ABC=30°,Q是AB上的一点,⊙O分别与AC、BC相切于点A、D,与AB交于另一点E,若BE=2,则切线CD的长为()
Choices:
(A) √{3}
(B) 2√{3}
(C) 3√{3}
(D) 6
|
2√{3}
| 29,639 | null |
2√{3}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1202.jpg"
}
] |
<image>如图,DC∥AB,∠BAE=∠BCD,AE⊥DE,∠C=130°,则∠D的度数是()
Choices:
(A) 160°
(B) 140°
(C) 130°
(D) 125°
|
140°
| 29,681 | null |
140°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1218.jpg"
}
] |
<image>设BF交AC于点P,AE交DF于点Q．若∠APB=126°,∠AQF=100°,则∠A－∠F=()
Choices:
(A) 60°
(B) 46°
(C) 26°
(D) 45°
|
46°
| 29,697 | null |
46°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1228.jpg"
}
] |
<image>把一块直尺与一块含30°的直角三角板如图放置,若∠1=34°,则∠2的度数为()
Choices:
(A) 114°
(B) 124°
(C) 116°
(D) 126°
|
124°
| 29,707 | null |
124°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1271.jpg"
}
] |
<image>如图,已知AB=AC=AD,∠CBD=2∠BDC,∠BAC=42°,则∠CAD的度数为()度．
Choices:
(A) 56
(B) 78
(C) 84
(D) 112
|
84
| 29,750 | null |
84
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1274.jpg"
}
] |
<image>如图,已知a∥b,小明把三角板的直角顶点放在直线b上,若∠1=35°,则∠2的度数为()
Choices:
(A) 65°
(B) 120°
(C) 125°
(D) 145°
|
125°
| 29,753 | null |
125°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1310.jpg"
}
] |
<image>如图,直线AB⊥CD于O,直线EF交AB于O,∠COF=70°,则∠AOE等于()
Choices:
(A) 20°
(B) 30°
(C) 35°
(D) 70°
|
20°
| 29,789 | null |
20°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1317.jpg"
}
] |
<image>如图,⊙O的圆心角∠BOC=112°,点D在弦BA的延长线上且AD=AC,则∠D的度数为()
Choices:
(A) 28°
(B) 56°
(C) 30°
(D) 41°
|
28°
| 29,796 | null |
28°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1385.jpg"
}
] |
<image>如图,在△ABC中,∠C=90°,∠BDC=30°,AD=2BC,则∠A=()
Choices:
(A) 15°
(B) 20°
(C) 16°
(D) 18°
|
15°
| 29,864 | null |
15°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1552.jpg"
}
] |
<image>一个钢管放在V形架内,如图是其截面图,O为钢管的圆心．如果钢管的半径为25cm,∠MPN=60°,则OP=()
Choices:
(A) 50cm
(B) 25√{3}cm
(C) \frac{50√{3}}{3}cm
(D) 50√{3}cm
|
50cm
| 30,031 | null |
50cm
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1553.jpg"
}
] |
<image>如图,AB是⊙O的直径,若∠AOC=70°,且AD∥OC,则∠AOD的度数为()
Choices:
(A) 70°
(B) 60°
(C) 50°
(D) 40°
|
40°
| 30,032 | null |
40°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1575.jpg"
}
] |
<image>如图,已知⊙C的半径为2,圆外一点O满足OC=3.5,点P为⊙C上一动点,经过点O的直线l上有两点A、B,且OA=OB,∠APB=90°,l不经过点C,则AB的最小值为()
Choices:
(A) 2
(B) 2.5
(C) 3
(D) 3.5
|
3.5
| 30,054 | null |
3.5
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1666.jpg"
}
] |
<image>如图,点B,C,D在⊙O上,若∠BCD=120°,则∠BOD的度数是()
Choices:
(A) 60°
(B) 80°
(C) 120°
(D) 240°
|
120°
| 30,145 | null |
120°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1681.jpg"
}
] |
<image>如图,点A、B、C都是圆O上的点,在四边形ABCO中,∠AOC=140°,则∠B的度数为()
Choices:
(A) 110°
(B) 70°
(C) 140°
(D) 100°
|
110°
| 30,160 | null |
110°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1723.jpg"
}
] |
<image>如图,A、B、C、D四个点均在⊙O上,∠B=55°,AO∥DC,则∠AOD的度数为()
Choices:
(A) 70°
(B) 75°
(C) 80°
(D) 85°
|
70°
| 30,202 | null |
70°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1767.jpg"
}
] |
<image>如图,AB是⊙O的弦,AB=10,点C是⊙O上的一个动点,且∠C=45°．若点M、N分别是弦AB、AC的中点,则MN的最大值是()
Choices:
(A) 5√{2}
(B) 5
(C) √{5}
(D) 4
|
5√{2}
| 30,246 | null |
5√{2}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1791.jpg"
}
] |
<image>将一张宽度相等的长方形纸条按如图所示的方式折叠一下,如果∠1=140°,那么∠2的度数是()
Choices:
(A) 100°
(B) 110°
(C) 120°
(D) 140°
|
110°
| 30,270 | null |
110°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1833.jpg"
}
] |
<image>我国纸伞的制作工艺十分巧妙．如图,伞不管是张开还是收拢,伞柄AP始终平分同一平面内两条伞骨所成的角∠BAC,且AE=AF,DE=DF,从而保证伞圈能沿着伞柄滑动．有一种玩具伞张开时,BDC在同一直线上,若AB=50cm,AD=14cm,则制作一把这样的纸伞需要油纸的面积是(不记接缝)()
Choices:
(A) 48cm^{2}
(B) 70πcm^{2}
(C) 2400πcm^{2}
(D) 2500πcm^{2}
|
2400πcm^{2}
| 30,312 | null |
2400πcm^{2}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2054.jpg"
}
] |
<image>如图,小明设计两个直角,来测量河宽BC,他量得AB=2米,BD=\frac{7}{3}米,CE=9米,则河宽BC为()
Choices:
(A) \frac{7}{2}米
(B) \frac{17}{2}米
(C) \frac{40}{7}米
(D) 11米
|
\frac{40}{7}米
| 30,533 | null |
\frac{40}{7}米
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2220.jpg"
}
] |
<image>如图,已知CD是⊙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) 30°
(C) 40°
(D) 50°
|
25°
| 30,699 | null |
25°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2316.jpg"
}
] |
<image>如图,△ABC是⊙O的内接三角形,AB=AC,∠BCA=65°,作CD∥AB,并与⊙O相交于点D,连接BD,则∠DBC的大小为()
Choices:
(A) 15°
(B) 35°
(C) 25°
(D) 45°
|
15°
| 30,795 | null |
15°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2319.jpg"
}
] |
<image>如图所示,在Rt△BAD中,延长斜边BD到点C,使DC=\frac{1}{2}BD,连接AC,若tanB=\frac{5}{3},则tan∠CAD的值为()
Choices:
(A) \frac{√{3}}{3}
(B) \frac{√{3}}{5}
(C) \frac{1}{3}
(D) \frac{1}{5}
|
\frac{1}{5}
| 30,798 | null |
\frac{1}{5}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2350.jpg"
}
] |
<image>如图,⊙O的半径为5,AB为弦,点C为⁀{AB}的中点,若∠ABC=30°,则弦AB的长为()
Choices:
(A) \frac{1}{2}
(B) 5
(C) \frac{5√{3}}{2}
(D) 5√{3}
|
5√{3}
| 30,829 | null |
5√{3}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2357.jpg"
}
] |
<image>如图,AB为⊙O的直径,点C,D在⊙O上．若∠AOD=30°,则∠BCD等于()
Choices:
(A) 75°
(B) 95°
(C) 100°
(D) 105°
|
105°
| 30,836 | null |
105°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2401.jpg"
}
] |
<image>把Rt△ABC与Rt△CDE放在同一水平桌面上,摆放成如图所示的形状,使两个直角顶点重合,两条斜边平行,若∠B=25°,∠D=58°,则∠BCE的度数是()
Choices:
(A) 83°
(B) 57°
(C) 54°
(D) 33°
|
57°
| 30,880 | null |
57°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2408.jpg"
}
] |
<image>如图,已知BC是⊙O的直径,过点B的弦BD平行于半径OA,若∠B的度数是50°,则∠C的度数是()
Choices:
(A) 50°
(B) 40°
(C) 30°
(D) 25°
|
25°
| 30,887 | null |
25°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2420.jpg"
}
] |
<image>如图,∠BAD=90°,∠ADC=30°,∠BCD=142°,则∠B=()
Choices:
(A) 12°
(B) 20°
(C) 22°
(D) 42°
|
22°
| 30,899 | null |
22°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2432.jpg"
}
] |
<image>如图,已知O是四边形ABCD内一点,OA=OB=OC,∠ABC=∠ADC=65°,则∠DAO+∠DCO=()
Choices:
(A) 90°
(B) 110°
(C) 120°
(D) 165°
|
165°
| 30,911 | null |
165°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2452.jpg"
}
] |
<image>如图,已知AB=AC=AD,∠CBD=44°,则∠CAD的度数为()
Choices:
(A) 68°
(B) 88°
(C) 90°
(D) 112°
|
88°
| 30,931 | null |
88°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2590.jpg"
}
] |
<image>如图,是一个圆形展厅,为了监控整个展厅,在其圆形边缘上安装了甲、乙两台监视器,若甲监视器的监控角度为65°,则乙监控器的监控角度至少为()
Choices:
(A) 25°
(B) 65°
(C) 115°
(D) 130°
|
115°
| 31,069 | null |
115°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2624.jpg"
}
] |
<image>如图,一个量角器的底端A、B分别在y轴正半轴与x轴负半轴上滑动,点D位于该量角器上128°刻度处．当点D与原点O的距离最大时,∠OAB=()
Choices:
(A) 64°
(B) 52°
(C) 38°
(D) 26°
|
26°
| 31,103 | null |
26°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2636.jpg"
}
] |
<image>如图,四边形ABCD内接于圆O,E为CD延长线上一点,若∠B=110°,则∠ADE的度数为()
Choices:
(A) 115°
(B) 110°
(C) 90°
(D) 80°
|
110°
| 31,115 | null |
110°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2770.jpg"
}
] |
<image>如图,AB为⊙O的直径,点C、D在⊙O上,若∠AOD=30°,则∠BCD的度数是()
Choices:
(A) 150°
(B) 120°
(C) 105°
(D) 75°
|
105°
| 31,249 | null |
105°
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2792.jpg"
}
] |
<image>如图,△ABC内接于⊙O,AH⊥BC于点H,若AC=8,AH=6,⊙O的半径OC=5,则AB的值为()
Choices:
(A) 5
(B) \frac{13}{2}
(C) 7
(D) \frac{15}{2}
|
\frac{15}{2}
| 31,271 | null |
\frac{15}{2}
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2817.jpg"
}
] |
<image>如图,AB是⊙O的弦,作OC⊥OA交⊙O的切线BC于点C,交AB于点D．已知∠OAB=20°,则∠OCB的度数为()
Choices:
(A) 20°
(B) 30°
(C) 40°
(D) 50°
|
40°
| 31,296 | null |
40°
|
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