1 . 如图,已知
为⊙
的直径,直线
与⊙
相切于点
,
垂直
于点
. 若
,求切点
到直径
的距离
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a19338598965bb3856cdd0236bbf694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次
2018-01-18更新
|
172次组卷
|
2卷引用:2018年江苏省高三上学期期末数学试题分类选考之选修4-1:几何证明选讲
2017高三·全国·专题练习
2 . 将形状、大小完全相同的两个等腰三角形如图所示放置,点D在AB边上,△DEF绕点D旋转,腰DF和底边DE分别交△CAB的两腰CA,CB于M,N两点,若CA=5,AB=6,AB=1:3,则MD+
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c537e7fab558d6335afa07c2c5b4b122.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234630144/STEM/1ced2471a7aa4999a84f0e37a88bbb32.png?resizew=155)
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2017高三·全国·专题练习
3 . 如图,在
中,
,点
在
上,
,点
是
上的动点,则
的最小值为
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234548224/STEM/84d7c9c6aea54cf196a1dfe9adba08cb.png?resizew=114)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27ec39ae9fe6c726f04d95d436618f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f6fc22fa9a491da7e93d01742a8e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186dee1a1cf68677d143172a2a50709c.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234548224/STEM/84d7c9c6aea54cf196a1dfe9adba08cb.png?resizew=114)
A.4 | B.5 | C.6 | D.7 |
您最近一年使用:0次
2017高三·全国·专题练习
4 . 如图,∠AOB的边OB与x轴正半轴重合,点P是OA上的一动点,点N(3,0)是OB上的一定点,点M是ON的中点,∠AOB=30°,要使PM+PN最小,则点P的坐标为______ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234466304/STEM/cc53f5ca3aca4af9accaa4c1b553fe1a.png?resizew=220)
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2017高三·全国·专题练习
5 . 如图,MN是⊙O的直径,MN=4,点A在⊙O上,∠AMN=30°,B为
的中点,P是直径MN上一动点.
(1)利用尺规作图,确定当PA+PB最小时P点的位置(不写作法,但要保留作图痕迹).
(2)求PA+PB的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e63f752360194aca10417ca1f467ae.png)
(1)利用尺规作图,确定当PA+PB最小时P点的位置(不写作法,但要保留作图痕迹).
(2)求PA+PB的最小值.
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234613760/STEM/4855f3156a374dd999ab1dad1b2dcb41.png?resizew=143)
您最近一年使用:0次
2017高三·全国·专题练习
6 . 如图,在矩形纸片ABCD中,AB=2,AD=3,点E是AB的中点,点F是AD边上的一个动点,将△AEF沿EF所在直线翻折,得到△A′EF,则A′C的长的最小值是______ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234564608/STEM/4385217709f5468ea1b94fd42d73077c.png?resizew=181)
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2017高三·全国·专题练习
7 . 如图,在平面直角坐标系中,反比例函数
(
)的图象与边长是6的正方形
的两边
,
分别相交于
,
两点,
的面积为10.若动点
在
轴上,则
的最小值是( )
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234515456/STEM/8230d229a0504ffb961d4ab79ff6478b.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bb1548ddc0e5536a35b1bd78c4e7cd.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234515456/STEM/8230d229a0504ffb961d4ab79ff6478b.png?resizew=142)
A.![]() | B.10 | C.![]() | D.![]() |
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2017高三·全国·专题练习
8 . 如图,在矩形ABCD中,AD=6,AE⊥BD,垂足为E,ED=3BE,点P、Q分别在BD,AD上,则AP+PQ的最小值为( )
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234654720/STEM/d93ac0fef334412eba5078b2f4b55d40.png?resizew=179)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234654720/STEM/d93ac0fef334412eba5078b2f4b55d40.png?resizew=179)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017高三·全国·专题练习
9 . 如图,已知菱形ABCD的周长为16,面积为
,E为AB的中点,若P为对角线BD上一动点,则EP+AP的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6093eebca8f3ff82ce9298feb197e955.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234572800/STEM/49226e458aec4e7abb1cf420486990bc.png?resizew=204)
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2017高三·全国·专题练习
10 . 如图,已知直线l1∥l2,l1、l2之间的距离为8,点P到直线l1的距离为6,点Q到直线l2的距离为4,PQ=
,在直线l1上有一动点A,直线l2上有一动点B,满足AB⊥l2,且PA+AB+BQ最小,此时PA+BQ=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ef012dae8065427c09bca0d090b25e.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234597376/STEM/2dc34eca180745b5b9e00e5bbbab551b.png?resizew=157)
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