id stringlengths 1 16 | source stringclasses 4 values | image listlengths 1 1 | question stringlengths 14 11.2k | answer stringlengths 1 112 |
|---|---|---|---|---|
69911 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69911.png"
}
] | <image>如图,游乐园的大观览车半径为25米,已知观览车绕圆心O顺时针做匀速运动,旋转一周用12分钟,某人从观览车的最低处(地面A处)乘车,问经过4分钟后,此人距地面CD的高度是(观览处最低处距地面的高度忽略不计)()
Choices:
(A) \frac{25}{2}
(B) 25
(C) \frac{75}{2}
(D) \frac{25(√{3}+1)}{2} | \frac{75}{2} |
69912 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69912.png"
}
] | <image>如图,小颖从山脚下的点A走了100米后到达山顶的点B,已知点B到山脚的垂直距离为60米,则sin∠ABC的值为()
Choices:
(A) \frac{3}{5}
(B) \frac{4}{5}
(C) \frac{4}{3}
(D) \frac{3}{4} | \frac{4}{5} |
69913 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69913.png"
}
] | <image>如图,已知线段AB=6cm,在线段AB的延长线上有一点C,且BC=4cm,若点M、N分别为AB、BC的中点,那么M、N两点之间的距离为()
Choices:
(A) 1cm
(B) 4cm
(C) 5cm
(D) 无法确定 | 5cm |
69914 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69914.png"
}
] | <image>如图,正六边形ABCDEF内接于⊙O,若⊙O的半径为6,则阴影部分的面积为()
Choices:
(A) 12π
(B) 6π
(C) 9π
(D) 18π | 6π |
69915 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69915.png"
}
] | <image>如图,玲玲在美术课上用丝线绣成了一个“2”,AB∥DE,∠A=30°,∠ACE=110°,则∠E的度数为()
Choices:
(A) 30°
(B) 150°
(C) 120°
(D) 100° | 100° |
69916 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69916.png"
}
] | <image>如图,CD是半圆O的直径,弦AB∥CD,且CD=6,∠ADB=30°,则阴影部分的面积是()
Choices:
(A) π
(B) \frac{3π}{2}
(C) 3π
(D) 6π | \frac{3π}{2} |
69917 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69917.png"
}
] | <image>如图是一长为50米的游泳池的纵切面,该游泳池的最浅处为1.2米,最深处为2.2米,底面为斜坡,则底面的坡度为()
Choices:
(A) 50
(B) 1:50
(C) 3:125
(D) 11:250 | 1:50 |
69918 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69918.png"
}
] | <image>在⊙O中,半径OA、OB互相垂直,点C为弧⁀{AB}上一点(不与A、B重合),CD⊥OA,CE⊥OB,垂足分别为D、E,点G、H分别在CE、CD上,且CG=\frac{1}{3}CE,CH=\frac{1}{3}CD,当C点在弧⁀{AB}上顺时针运动时,已知⊙O的半径长为6,则GH的长度为()
Choices:
(A) 3
(B) 2
(C) 1.5
(D) 无法确定 | 1.5 |
69919 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69919.png"
}
] | <image>如图,F是平行四边形ABCD对角线BD上的点,BF:FD=1:3,则BE:EC=()
Choices:
(A) \frac{1}{2}
(B) \frac{1}{3}
(C) \frac{2}{3}
(D) \frac{1}{4} | \frac{1}{2} |
69920 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69920.png"
}
] | <image>如图,在直线l上顺次取A、B、C三点,使得AB=5cm,BC=3cm,如果O是线段AC的中点,那么线段OB长为()
Choices:
(A) 1cm
(B) 1.5cm
(C) 2cm
(D) 4cm | 1cm |
69921 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69921.png"
}
] | <image>如图,⊙O是△ABC的外接圆,已知∠A=30°,BC=2,则⊙O的半径为()
Choices:
(A) 1
(B) 2
(C) √{3}
(D) 4 | √{3} |
69922 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69922.png"
}
] | <image>如图:AB是斜靠在墙AC上的楼梯,梯脚B点距离墙1.6m,梯上D点距墙1.4m,BD=0.55m,则梯子长为()
Choices:
(A) 3.84m
(B) 4.00m
(C) 4.4m
(D) 4.5m | 4.4m |
69923 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69923.png"
}
] | <image>如图,在长方形ABCD中,AB=2cm,AD=4cm,E,F分别为AD,BC的中点,分别以C,F为圆心、2cm为半径画图把长方形分成三个部分,则图中两个阴影部分的面积为()
Choices:
(A) 2cm
(B) 4cm
(C) 6cm
(D) 无法确定 | 4cm |
69924 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69924.png"
}
] | <image>如图,已知∠1＋∠2=100°,则∠3=()．
Choices:
(A) 50°
(B) 80°
(C) 130°
(D) 120° | 130° |
69925 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69925.png"
}
] | <image>把一副直角三角板按如图所示的方式摆放在一起,其中∠C=90°,∠F=90°,∠D=30°,∠A=45°,则∠1+∠2等于()
Choices:
(A) 270°
(B) 210°
(C) 180°
(D) 150° | 210° |
69926 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69926.png"
}
] | <image>如图,圆内接四边形ABCD的边AB过圆心O,过点C的切线与边AD所在直线垂直于点M,若∠ABC=55°,则∠ACD等于()
Choices:
(A) 20°
(B) 35°
(C) 40°
(D) 55° | 20° |
69927 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69927.png"
}
] | <image>如图,△ABC中,点D在边AB上,且满足∠ACD=∠ABC,若AC=2,AD=1,则DB的长为()
Choices:
(A) 1
(B) 2
(C) 3
(D) 4 | 4 |
69928 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69928.png"
}
] | <image>如图,已知圆心角∠AOB的度数为100°,则圆周角∠ACB的度数是()
Choices:
(A) 80°
(B) 100°
(C) 120°
(D) 130° | 130° |
69929 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69929.png"
}
] | <image>如图,⊙O是△ABC的外接圆,直径AD与BC相交于点E,连接CD,若⊙O的半径为5,AB=AC=8,则EC长为()
Choices:
(A) 4
(B) \frac{24}{5}
(C) \frac{2}{3}
(D) \frac{3}{4} | \frac{24}{5} |
69930 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69930.png"
}
] | <image>如图,点A,B,C在⊙O上,CO的延长线交AB于点D,∠A=50°,∠B=30°,则∠ADC的度数为()
Choices:
(A) 70°
(B) 90°
(C) 110°
(D) 120° | 110° |
69931 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69931.png"
}
] | <image>如图,AB是⊙O直径,∠D=33°,则∠AOC的度数是()
Choices:
(A) 99°
(B) 108°
(C) 114°
(D) 127° | 114° |
69932 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69932.png"
}
] | <image>如图,线段AB上有C、D两点,且AD=\frac{1}{3}AB,C是AD的中点,若AB=12,则线段AC的长为()
Choices:
(A) 3
(B) 4
(C) 1
(D) 2 | 2 |
69933 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69933.png"
}
] | <image>如图,已知∠α=130°,则∠β=()
Choices:
(A) 30°
(B) 40°
(C) 50°
(D) 65° | 40° |
69934 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69934.png"
}
] | <image>如图,在⊙O中,∠AOB=45°,则∠C为()
Choices:
(A) 225°
(B) 45°
(C) 60°
(D) 90° | 225° |
69935 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69935.png"
}
] | <image>如图,AB是⊙O的直径,点C,D,E在⊙O上,若∠AED=20°,则∠BCD的度数为()
Choices:
(A) 100°
(B) 110°
(C) 115°
(D) 120° | 110° |
69936 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69936.png"
}
] | <image>如图,BD是△ABC的角平分线,AE⊥BD,垂足为F,若∠ABC=35°,∠C=50°,则∠CDE的度数为()
Choices:
(A) 35°
(B) 40°
(C) 45°
(D) 50° | 45° |
69937 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69937.png"
}
] | <image>如图,DE∥BC,分别交△ABC的边AB、AC于点D、E,\frac{AD}{AB}=\frac{1}{3},若AE=1,则EC=()
Choices:
(A) 2
(B) 3
(C) 4
(D) 6 | 4 |
69938 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69938.png"
}
] | <image>如图,A、B、C在⊙O上,∠OAB=22.5°,则∠ACB的度数是()
Choices:
(A) 11.5°
(B) 112.5°
(C) 122.5°
(D) 135° | 112.5° |
69939 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69939.png"
}
] | <image>如图,A、B、C为⊙O上的任意三点,若∠BOC=100°,则∠BAC的度数为()
Choices:
(A) 50°
(B) 80°
(C) 100°
(D) 130° | 130° |
69940 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69940.png"
}
] | <image>如图,AB是⊙O的直径,CD是弦,如果弧AC=弧AD,∠C比∠D大36°,则∠A等于()
Choices:
(A) 24°
(B) 27°
(C) 34°
(D) 37° | 27° |
69941 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69941.png"
}
] | <image>量角器的直径与直角三角板ABC的斜边AB重合,其中量角器O刻度线的端点N与点A重合,射线CP从CA处出发沿顺时针方向以每秒3度的速度旋转,CP与量角器的半圆弧交于点E,当第20秒时,点E在量角器上对应的读数是()
Choices:
(A) 150°
(B) 120°
(C) 75°
(D) 60° | 120° |
69942 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69942.png"
}
] | <image>如图,A,B,C,D四点都在⊙O上,∠BOD=110°,则∠BCD的度数为()
Choices:
(A) 70°
(B) 110°
(C) 125°
(D) 130° | 125° |
69943 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69943.png"
}
] | <image>如图,△ABC中,DE∥BC,且AE:EC=1:3,若S~△ABC~=16,则△ADE的面积是()
Choices:
(A) 1
(B) 3
(C) 4
(D) 9 | 9 |
69944 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69944.png"
}
] | <image>如图,已知某圆锥轴截面等腰三角形的底边和高线长均为10cm,则这个圆锥的侧面积为()
Choices:
(A) 50cm^{2}
(B) 50πcm^{2}
(C) 25cm^{2}
(D) 25πcm^{2} | 25πcm^{2} |
69945 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69945.png"
}
] | <image>如图,将含30°角的三角板的直角顶点放在直尺的一边上,若∠1=35°,则∠2的度数为()
Choices:
(A) 80°
(B) 65°
(C) 60°
(D) 55° | 65° |
69946 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69946.png"
}
] | <image>如图,△ABC内接于⊙O,AB=AC,P是⁀{AB}上一点,∠BAC=30°,则∠APB=()
Choices:
(A) 105°
(B) 110°
(C) 115°
(D) 120° | 105° |
69947 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69947.png"
}
] | <image>如图,已知AB是半圆的直径,∠BAC=20°,D是⁀{AC}上任意一点,则∠D的度数是()
Choices:
(A) 120°
(B) 110°
(C) 100°
(D) 90° | 110° |
69948 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69948.png"
}
] | <image>如图,PA和PB是⊙O的切线,点A和B是切点,点C是⁀{AB}上的点,连接AC、BC,若∠P=70°,则∠ACB的大小是()
Choices:
(A) 100°
(B) 115°
(C) 125°
(D) 130° | 125° |
69949 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69949.png"
}
] | <image>如图,⊙O的内接四边形ABCD两组对边的延长线分别交于点E、F,若∠E=∠F=35°,则∠A的度数是()
Choices:
(A) 35°
(B) 55°
(C) 60°
(D) 65° | 55° |
69950 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69950.png"
}
] | <image>如图,BC的垂直平分线分别交AB、BC于点D和点E,连接CD,AC=DC,∠B=25°,则∠ACD的度数是()
Choices:
(A) 50°
(B) 65°
(C) 80°
(D) 100° | 80° |
69951 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69951.png"
}
] | <image>如图,AB是⊙O的直径,BC是弦,CD切⊙O于点C．作AD⊥CD于D,若∠A=50°,则∠BCD的度数为()
Choices:
(A) 150°
(B) 155°
(C) 160°
(D) 165° | 155° |
69952 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69952.png"
}
] | <image>将一把直尺与一块三角板如图放置,若∠1=60°,则∠2为()
Choices:
(A) 150°
(B) 120°
(C) 100°
(D) 60° | 150° |
69953 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69953.png"
}
] | <image>如图,A,B,C,D是⊙O上的四个点,∠A=60°,∠B=24°,则∠C的度数为()
Choices:
(A) 84°
(B) 60°
(C) 36°
(D) 24° | 24° |
69954 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69954.png"
}
] | <image>如图,两个等边△ABD,△CBD的边长均为1,将△ABD沿AC方向向右平移到△A′B′D′的位置,得到图2,则阴影部分的周长为()
Choices:
(A) 1
(B) 2
(C) 2.5
(D) 3 | 2.5 |
69955 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69955.png"
}
] | <image>如图,C是以AB为直径的半圆O上一点,连结AC,BC,分别以AC,BC为边向外作正方形ACDE,BCFG．DE,FG,⁀{\mathrm{AC}},⁀{\mathrm{BC}}的中点分别是M,N,P,Q．若MP+NQ=14,AC+BC=18,则AB的长为()
Choices:
(A) 9√{2}
(B) \frac{90}{7}
(C) 13
(D) 16 | 13 |
69956 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69956.png"
}
] | <image>如图,有一圆通过△ABC的三个顶点,且弦BC的中垂线与⁀{AC}相交于D点．若∠B=74°,∠C=46°,则⁀{AD}的度数为何？()
Choices:
(A) 23
(B) 28
(C) 30
(D) 37 | 28 |
69957 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69957.png"
}
] | <image>如图,点C是线段AB上的点,点D是线段BC的中点,AB=10,AC=6,则线段AD的长是()
Choices:
(A) 6
(B) 2
(C) 8
(D) 4 | 8 |
69958 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69958.png"
}
] | <image>一束阳光射在窗子AB上,此时光与水平线夹角为30°,若窗高AB=1.8米,要想将光线全部遮挡住,不能射到窗子AB上,则挡板AC(垂直于AB)的长最少应为()
Choices:
(A) 1.8√{3}米
(B) 0.6√{3}米
(C) 3.6米
(D) 1.8米 | 1.8√{3}米 |
69959 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69959.png"
}
] | <image>如图,△ABC中,D、E分别是BC、AC的中点,BF平分∠ABC,交DE于点F,若BC=6,则DF的长是()
Choices:
(A) 3
(B) 2
(C) \frac{5}{2}
(D) 4 | 4 |
69960 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69960.png"
}
] | <image>如图BD=CD,AE:DE=1:2,延长BE交AC于F,且AF=5cm,则AC的长为()
Choices:
(A) 30cm
(B) 25cm
(C) 15cm
(D) 10cm | 25cm |
69961 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69961.png"
}
] | <image>如图,∠AOB=50°,∠OBC=40°,则∠OAC=()
Choices:
(A) 15°
(B) 25°
(C) 30°
(D) 40° | 15° |
69962 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69962.png"
}
] | <image>如图,在⊙O中,∠BOD=120°,则∠BCD的度数是()
Choices:
(A) 60°
(B) 80°
(C) 120°
(D) 150° | 120° |
69963 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69963.png"
}
] | <image>如图,C、D是线段AB上两点,若BC=3cm,BD=5cm,且D是AC的中点,则AC的长为()
Choices:
(A) 2cm
(B) 4cm
(C) 8cm
(D) 13cm | 4cm |
69964 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69964.png"
}
] | <image>如图,已知1号,4号两个正方形的面积和为7,2号,3号两个正方形的而积和为4,则a,b,c三个方形的面积和为()
Choices:
(A) 10
(B) 13
(C) 15
(D) 22 | 15 |
69965 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69965.png"
}
] | <image>已知:菱形ABCD中,对角线AC与BD相交于点O,OE∥DC交BC于点E,AD=6cm,则OE的长为()
Choices:
(A) 3
(B) 4
(C) 5
(D) 6 | 5 |
69966 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69966.png"
}
] | <image>如图,▱ABCD绕点A逆时针旋转30°,得到□AB′C′D′(点B′与点B是对应点,点C′与点C是对应点,点D′与点D是对应点),点B′恰好落在BC边上,则∠C=()
Choices:
(A) 105°
(B) 170°
(C) 155°
(D) 145° | 105° |
69967 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69967.png"
}
] | <image>如图,在四边形ABCD中,AB=3,BC=5,∠A=130°,∠D=100°,AD=CD．若点E,F分别是边AD,CD的中点,则EF的长是()
Choices:
(A) √{2}
(B) √{3}
(C) 2
(D) √{5} | 2 |
69968 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69968.png"
}
] | <image>如图,AB∥CD,BE垂直平分AD,DC=BC,若∠A=70°,则∠C=()
Choices:
(A) 100°
(B) 110°
(C) 115°
(D) 120° | 100° |
69969 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69969.png"
}
] | <image>如图,△ABC内接于⊙O,∠OAB=45°,则∠ACB的度数为()
Choices:
(A) 135°
(B) 130°
(C) 120°
(D) 140° | 135° |
69970 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69970.png"
}
] | <image>如图,把矩形ABCD沿EF折叠,若∠1=40°,则∠AEF=()
Choices:
(A) 110°
(B) 115°
(C) 120°
(D) 130° | 110° |
69971 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69971.png"
}
] | <image>如图,在△ABC中,AB=15,AC=12,BC=9,经过点C且与边AB相切的动圆与CB、CA分别相交于点E、F,则线段EF长度的最小值是()
Choices:
(A) \frac{12}{5}
(B) \frac{36}{5}
(C) \frac{15}{2}
(D) 8 | \frac{36}{5} |
69972 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69972.png"
}
] | <image>某工件形状如图所示,⁀{BC}的度数为60°,AB=6cm,点B到点C的距离等于AB,∠BAC=30°,则工件的面积等于()
Choices:
(A) 4π
(B) 6π
(C) 8π
(D) 10π | 6π |
69973 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69973.png"
}
] | <image>如图,▱ABCD中,AC．BD为对角线,BC=3,BC边上的高为2,则阴影部分的面积为()
Choices:
(A) 3
(B) 6
(C) 12
(D) 24 | 24 |
69974 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69974.png"
}
] | <image>如图,已知点C是线段AD的中点,AB=10cm,BD=4cm,则BC的长为()
Choices:
(A) 5cm
(B) 6cm
(C) 7cm
(D) 8cm | 7cm |
69975 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69975.png"
}
] | <image>如图,直径为10的⊙A经过点C(0,5)和点O(0,0),B是y轴右侧⊙A优弧上一点,则∠OBC的度数为()
Choices:
(A) 30°
(B) 40°
(C) 50°
(D) 60° | 30° |
69976 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69976.png"
}
] | <image>如图,已知圆心角∠AOB的度数为110°,则圆周角∠ACB等于()
Choices:
(A) 110°
(B) 70°
(C) 55°
(D) 125° | 125° |
69977 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69977.png"
}
] | <image>如图,小明同学用自制的直角三角形纸板EFG测量树的高度AB,他调整自己的位置,设法使斜边EG保持水平,并且边EF所在的直线经过点A．已知纸板的两条直角边EF=60cm,FG=30cm,测得小刚与树的水平距离BD=8m,边EG离地面的高度DE=1.6m,则树的高度AB等于()
Choices:
(A) 5m
(B) 5.5m
(C) 5.6m
(D) 5.8m | 5.6m |
69978 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69978.png"
}
] | <image>正方形ABCD的边长AD=8cm,AE=FC=1cm,那么EF的长是()
Choices:
(A) √{65}cm
(B) 2√{34}cm
(C) 10cm
(D) 12cm | 10cm |
69979 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69979.png"
}
] | <image>如图,在△ABC中,DE∥BC,AD:DB=1:3,BC=8,那么DE的长为()
Choices:
(A) 2
(B) 4
(C) \frac{4}{3}
(D) \frac{8}{3} | \frac{4}{3} |
69980 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69980.png"
}
] | <image>如图,AB是半径为4的⊙O的直径,P是圆上异于A,B的任意一点,∠APB的平分线交⊙O于点C,连接AC和BC,△ABC的中位线所在的直线与⊙O相交于点E、F,则EF的长是()
Choices:
(A) 4√{3}
(B) 2√{3}
(C) 6
(D) 2√{5} | 4√{3} |
69981 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69981.png"
}
] | <image>如图,A、B、C、D四点都在⊙O上,若∠COD=80°,则∠ABD+∠OCA等于()
Choices:
(A) 45°
(B) 50°
(C) 55°
(D) 60° | 50° |
69982 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69982.png"
}
] | <image>如图,AB是⊙O的直径,AD是⊙O的切线,BC∥OD交⊙O于点C,若AB=2,OD=3,则BC的长为()
Choices:
(A) \frac{3}{2}
(B) \frac{2}{3}
(C) \frac{√{3}}{2}
(D) \frac{√{2}}{2} | \frac{2}{3} |
69983 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69983.png"
}
] | <image>如图,在△ABC中,点D,E分别是AC,AB上的两点,且\frac{AD}{AB}=\frac{AE}{AC}=\frac{1}{2},若△ADE的面积为1cm²,则四边形EBCD的面积为()cm²．
Choices:
(A) 2
(B) 3
(C) 4
(D) 5 | 5 |
69984 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69984.png"
}
] | <image>如图所示:一个圆锥的侧面展开图是半径为2的半圆,则该圆锥的底面半径是()
Choices:
(A) 1
(B) 2
(C) \frac{1}{2}
(D) 4 | \frac{1}{2} |
69985 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69985.png"
}
] | <image>如图,C、D是线段AB上的两个点,CD=3cm,M是AC的中点,N是DB的中点,AB=9.8cm,那么线段MN的长等于()
Choices:
(A) 5.4cm
(B) 6.4cm
(C) 6.8cm
(D) 7cm | 6.4cm |
69986 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69986.png"
}
] | <image>如图,点P是平行四边形ABCD内一点,已知S~△PAB~=7,S~△PAD~=4,那么S~△PAC~等于()
Choices:
(A) 4
(B) 3.5
(C) 3
(D) 无法确定 | 无法确定 |
69987 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69987.png"
}
] | <image>如图,四边形ABCD中,∠ADC=90°,AE=BE,BF=CF,连接EF,AD=3,CD=1,则EF的长为()
Choices:
(A) 3
(B) 4
(C) 2
(D) 1 | 1 |
69988 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69988.png"
}
] | <image>如图,C、D是线段AB上的两点,E是AC的中点,F是BD的中点,若EF=8,CD=4,则AB的长为()
Choices:
(A) 9
(B) 10
(C) 12
(D) 16 | 12 |
69989 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69989.png"
}
] | <image>如图,在Rt△ABC中,∠BAC=90°,AD⊥BC于D,DE⊥AB于E,AD=3,DE=2,则CD的长是()
Choices:
(A) \frac{21}{2}
(B) \frac{√{15}}{2}
(C) \frac{9}{2}
(D) \frac{3√{5}}{2} | \frac{3√{5}}{2} |
69990 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69990.png"
}
] | <image>若△ABC∽△ADE,若AB=6,AC=4,AD=3,则AE的长是()
Choices:
(A) 1
(B) 2
(C) 1.5
(D) 3 | 1.5 |
69991 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69991.png"
}
] | <image>如图,△ABC内接于⊙O,AD⊥BC,BE⊥AC,AD,BE相交于点M,若AC=8,BM=4,则⊙O的半径等于()
Choices:
(A) 2√{5}
(B) 2√{3}
(C) 4√{2}
(D) 6 | 2√{5} |
69992 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69992.png"
}
] | <image>如图,△ABC∽△A′B′C′,AD、BE分别是△ABC的高和中线,A′D′、B′E′分别是△A′B′C′的高和中线,且AD=4,A′D′=3,BE=6,则B′E′的长为()
Choices:
(A) \frac{3}{2}
(B) \frac{5}{2}
(C) \frac{7}{2}
(D) \frac{9}{2} | \frac{9}{2} |
69993 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69993.png"
}
] | <image>如图,在边长为4的正方形内部,以各边为直径画四个半圆,则图中阴影部分的面积是()
Choices:
(A) 4
(B) 4π
(C) 2π-4
(D) 2π | 4 |
69994 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69994.png"
}
] | <image>如图,已知PA、PB都是⊙O的切线,A、B为切点,且∠APB=60°．若点C是⊙O异于A、B的任意一点,则∠ACB=()
Choices:
(A) 60°
(B) 120°
(C) 60°或120°
(D) 不能确定 | 60°或120° |
69995 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69995.png"
}
] | <image>如图,⊙O的半径OC=5cm,直线L⊥OC,垂足为H,且L交⊙O于A,B两点,AB=8cm,则L沿OC所在直线向下平移()cm时与⊙O相切．\frac{
Choices:
(A) 1
(B) 2
(C) 3
(D) 4 | 4 |
69996 | thinklite | [
{
"path": "/fsx-project/xywang96/Training_datas/ThinkLite/69996.png"
}
] | <image>如图,AB为⊙O的直径,C为⊙O上一点,弦AD平分∠BAC,交BC于点E,AB=6,AD=5,则DE的长为()
Choices:
(A) 2.2
(B) 2.5
(C) 2
(D) 1.8 | 2.2 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.