2017高三·全国·专题练习
1 . 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
2 . 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.![]() |
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2017高三·全国·专题练习
3 . 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
4 . 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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2017高三·全国·专题练习
5 . 如图,长方形ABCD中,AB=6,第一次平移长方形ABCD沿AB的方向向右平移5个单位长度,得到长方形A1B1C1D1,第2次平移长方形A1B1C1D1沿A1B1的方向向右平移5个单位长度,得到长方形A2B2C2D2,…,第n次平移长方形An-1Bn-1Cn-1Dn-1沿An-1Bn-1的方向向右平移5个单位长度,得到长方形AnBnCnDn(n>2),若ABn的长度为2 016,则n的值为__________ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888347136/STEM/6df4edd270714d188da93d00c2a8859b.png?resizew=270)
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2017高三·全国·专题练习
6 . 如图,正方形ABCD中,AB=2,E是CD中点,将正方形ABCD沿AM折叠,使点B的对应点F落在AE上,延长MF交CD于点N,则DN的长为______ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888363520/STEM/d04f16ef29954869afb3af977143d3f4.png?resizew=146)
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2017高三·全国·专题练习
7 . 如图,将矩形ABCD沿GH对折,点C落在Q处,点D落在E处,EQ与BC相交于F.若AD=8cm,AB=6cm,AE=4cm.则△EBF的周长是______ cm.
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888478208/STEM/216a387860f348d999dbc48f5beca5fb.png?resizew=147)
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2017高三·全国·专题练习
8 . 如图,已知AD∥BC,AB⊥BC,AB=3. 点E为射线BC上一个动点,连接AE,将△ABE沿AE折叠,点B落在点B′处,过点B′作AD的垂线,分别交AD,BC于点M,N. 当点B′为线段MN的三等分点时,BE的长为__________________ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888437248/STEM/fd1d61cfe1ce4f67b162944f06eff3c9.png?resizew=180)
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2017高三·全国·专题练习
9 . 如图,在
中,
,
,以点
为圆心,
的长为半径画弧,与
边交于点
,将
绕点
旋转
后点
与点
恰好重合,则图中阴影部分的面积为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa8cee7d2463f6f7d352e8b65f47cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1f4f255d191786f7d330d278868c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6179572d3d0a6191eca90f614e7cc4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888420864/STEM/6983fd06bb7d4a6082f81f56ff637125.png?resizew=149)
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2017高三·全国·专题练习
10 . 如图,四边形
是平行四边形,
,
点C在x轴的负半轴上,将ABCO绕点A逆时针旋转得到平行四边形ADEF,AD经过点O,点F恰好落在x轴的正半轴上.若点D在反比例函数
的图像上,则k的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607543bb9f55b8a141ed2d6cf0e1a20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa915a60a2d6e535369715ba84015b4.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888396288/STEM/026bf4b26a264394a36cbfbdd0542be4.png?resizew=211)
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