名校
1 . 已知Rt△ABC中,CD是斜边AB上的高,BE是角平分线并且与CD交于F,CH⊥EF,垂足为H,延长CH与AB交于G.
![](https://img.xkw.com/dksih/QBM/2019/4/11/2180013395902464/2181526744260609/STEM/f6e41111c6ee45219076d0203b7050e1.png?resizew=265)
(1)求证:
;
(2)若AC=2BC,求证EA=5FD.
![](https://img.xkw.com/dksih/QBM/2019/4/11/2180013395902464/2181526744260609/STEM/f6e41111c6ee45219076d0203b7050e1.png?resizew=265)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de0f9cba1248d3dd476fd1c6f0afe6d.png)
(2)若AC=2BC,求证EA=5FD.
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名校
2 . 如图,
,垂足分别为
,若
,则
的长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5be3facae1ecc4cc1c2cb96280f92ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14af8de7575341e02ee92cd0e33312b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e493fab43e5cf7aa9675e0c40fe15fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2017/8/18/1754646343540736/1754861942030336/STEM/0dce344eb15b4d779ecf09556f41a6d2.png?resizew=118)
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3 . 已知直角三角形周长为
,一锐角平分线分对边为3:5两部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/15819737-6aa9-4c81-ac40-9cf2e8d0f6a7.png?resizew=128)
(1)求直角三角形的三边长;
(2)求两直角边在斜边上的射影的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2442fce668d789c1019394a11ffa6450.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/15819737-6aa9-4c81-ac40-9cf2e8d0f6a7.png?resizew=128)
(1)求直角三角形的三边长;
(2)求两直角边在斜边上的射影的长.
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4 . 如图,
,
于
,
,
,则
的值为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/f0b675d89044479982b38c4a48839c89.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/41b3405f05d74aa78839c8b046ce62dd.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/6cf7da25968d4367940b099fd71bbabf.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/84bbd7f439964eb084b6dd6db9c1bffa.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/ad6bfa7f76cc499bab3b34eae3be63b3.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/f96e7dae6afc4f3396d18627693ebb0a.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/c49655d67ef043d7a06328e55661736b.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519430144/STEM/f0b675d89044479982b38c4a48839c89.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 .
中,
,
,垂足为
.若
,
,则
长为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519454720/STEM/8b0209d571444264bde61c0c775fd7d8.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519454720/STEM/8376401c404342628e9e9523fab5ae02.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519454720/STEM/a93307c0cf184cd5a5c45b62bed1fa6d.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519454720/STEM/2afb9963cea14c7eb24786f9a7918751.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519454720/STEM/75006e016ea24c22816ab8c40c73d181.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519454720/STEM/d1ccc189b8ed456ea68b3a36e6978f15.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519454720/STEM/c1ee1f118ffa49de96b21d88cbae417a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 如图,已知
的两条直角边
的长分别为
,
,以
为直径的圆与
交于点
,则![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/94e00855a85e4b71b8ad14f87e9151f4.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/2bbb6e09090e401793daa0964f7dddef.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/69783d4c38144cd39b78adaee2ff6aac.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/3ac3abcd7e01475ba3bc8cd7d116d981.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/d77342f8181f4271874506de52f37c73.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/c69ac50ad58b4e88aba219cf7b6608c4.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/8ac9ea89836c4bb3a6267a30248a07d1.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/065a052be8a049dda362564e250a8f10.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/0c57f4806cf04816a7bb484caa74fd5b.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/94e00855a85e4b71b8ad14f87e9151f4.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216481792/STEM/2bbb6e09090e401793daa0964f7dddef.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10-11高二下·黑龙江牡丹江·期末
7 . 在
中,
是斜边上的高线,
则
为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b28ef176d78867a81ac621c62e341b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91acc65064f9b4ce4520cac292a84a11.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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