2017高三·全国·专题练习
1 . 如图,已知正方形ABCD的边长为3,E、F分别是AB、BC边上的点,且∠EDF=45°,将△DAE绕点D逆时针旋转90°,得到△DCM.若AE=1,则FM的长为______ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888379904/STEM/75717cac7d0f44c39ef11f9cf22cca91.png?resizew=163)
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2017高三·全国·专题练习
2 . 如图,已知△ABC中,AB=AC,∠BAC=90°,直角∠EPF的顶点P是BC中点,两边PE,PF分别交AB,AC于点E,F,给出以下五个结论:①AE=CF;②∠APE=∠CPF;③△EPF是等腰三角形;④EF=AP;⑤S四边形AEPF=S△APC.当∠EPF在△ABC内绕顶点P旋转时(点E不与A,B重合),其中正确的序号有________________ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888289792/STEM/1f9c42c34ae0466086c3307d00710707.png?resizew=135)
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2017高三·全国·专题练习
3 . 如图,△ABC中,AB=6,DE∥AC,将△BDE绕点B顺时针旋转得到△BD′E′,点D的对应点D′落在边BC上.已知BE′=5,D′C=4,则BC的长为______ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358141726720/1929655888117760/STEM/fdfa455cfb9045ad9de882503c434bc5.png?resizew=224)
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2017高三·全国·专题练习
4 . 如图,在
中,
相交于点
,点
是
的中点,连接
并延长交
于点
,已知
,则下列结论:
①
,②
,③
,④
∽
,其中正确的是( )
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435331584/STEM/c828a5fd68a6487785324a40a87197bd.png?resizew=163)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6dde4fb1f1b33623fced9fb6ef2b0a1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d137ad180d729cf3aa2057528510b48d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c863c286e0678bb637e1fe3e5604a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fa0e0638cb58bb74ed75165b5bce6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4877b02291158ccb46b6d55da23259d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f8f01137e92c0f2e63467036ae9cce.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435331584/STEM/c828a5fd68a6487785324a40a87197bd.png?resizew=163)
A.①②③④ | B.①④ | C.②③④ | D.①②③ |
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2017高三·全国·专题练习
5 . (2017广东广州)如图,平面直角坐标系中
是原点,
的顶点
的坐标分别是
,点
把线段
三等分,延长
分别交
于点
,连接
,则下列结论:
①
是
的中点;②
与
相似;③四边形
的面积是
;④
;其中正确的结论是 __________ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e698404fde91350c873592032ea5326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec32dae2a8966c629cdaea0cca4d25d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f18975e22970b8fde117a588d9b681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c87b8e05d61ddc69dbc02772d719d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf33d73483c93f24cc6a1d76ef22ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3c024b213dbe2016bf593071d7856c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f18f78116d37176a4e7a7b5d0764268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82901484b0b4b192cdd45a88c6163aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d754c4ad51e4482e12a615d20a13fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0f572db5c9ca057212b60d9c2163e7.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435225088/STEM/e322abc96d32435cbe9db4eb83878547.png?resizew=153)
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2017高三·全国·专题练习
6 . 如图,在矩形ABCD中,E是AD边的中点,BE⊥AC,垂足为F,连结DF,下列四个结论:①△AEF∽△CAB;②tan∠CAD=
;③DF=DC;④CF=2AF,正确的是( )
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435200512/STEM/9f0b7b33ecb64d6595bf4b710fde9769.png?resizew=171)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435200512/STEM/9f0b7b33ecb64d6595bf4b710fde9769.png?resizew=171)
A.①②③ | B.②③④ | C.①③④ | D.①②④ |
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2017高三·全国·专题练习
7 . (2017湖北随州)如图,在矩形ABCD中,AB<BC,E为CD边的中点,将△ADE绕点E顺时针旋转180°,点D的对应点为C,点A的对应点为F,过点E作ME⊥AF交BC于点M,连接AM、BD交于点N,现有下列结论:
①AM=AD+MC;②AM=DE+BM;③DE2=AD•CM;④点N为△ABM的外心.其中正确的个数为( )
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435159552/STEM/3362b1a3c73247d8ac78171f49a94aa8.png?resizew=243)
①AM=AD+MC;②AM=DE+BM;③DE2=AD•CM;④点N为△ABM的外心.其中正确的个数为( )
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435159552/STEM/3362b1a3c73247d8ac78171f49a94aa8.png?resizew=243)
A.1个 | B.2个 | C.3个 | D.4个 |
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2017高三·全国·专题练习
8 . 如图,点P是正方形ABCD的对角线BD上一点,PE⊥BC于点E,PF⊥CD于点F,连接EF.给出下列五个结论:①AP=EF;②AP⊥EF;③△APD一定是等腰三角形;④∠PFE=∠BAP;⑤PD=
EC.其中正确结论的序号是____________ .
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435380736/STEM/fc9aeb869ee04ea4b28ba7ede19fe259.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435380736/STEM/ea9fe734dae641a7822c22a0a7cf807a.png?resizew=110)
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2017高三·全国·专题练习
9 . 如图,在一张矩形纸片ABCD中,AB=4,BC=8,点E,F分别在AD,BC上,将纸片ABCD沿直线EF折叠,点C落在AD上的一点H处,点D落在点G处,有以下四个结论:
①四边形CFHE是菱形;②线段BF的取值范围为3≤BF≤4;
③EC平分∠DCH;④当点H与点A重合时,EF=
.
以上结论中,你认为正确的有______ .(填序号)
①四边形CFHE是菱形;②线段BF的取值范围为3≤BF≤4;
③EC平分∠DCH;④当点H与点A重合时,EF=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
以上结论中,你认为正确的有
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435438080/STEM/790688633b8c49b4b961e564d2a03b16.png?resizew=184)
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2017高三·全国·专题练习
10 . 如图,菱形ABCD的边长为2,∠A=60°,一个以点B为顶点的60°角绕点B旋转,这个角的两边分别与线段AD的延长线及CD的延长线交于点P、Q,设DP=x,DQ=y,则能大致反映y与x的函数关系的图象是( )
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357673521152/1929139633266688/STEM/64e9f8a7f959488da92dbb54bf0caf5c.png?resizew=235)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357673521152/1929139633266688/STEM/64e9f8a7f959488da92dbb54bf0caf5c.png?resizew=235)
A.![]() | B.![]() |
C.![]() | D.![]() |
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