1 . 【选修4-1】几何证明选讲
在
中,
的平分线交
于点
,
的平分线交
于点
.
求证:
.
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6397f5a154ab2a7026357137853a9b94.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/19c267a7a677046db99ce9a6bca655c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1000289eb51626b34b586eb9595aaafb.png)
![](https://img.xkw.com/dksih/QBM/2016/5/18/1572636717309952/1572636723740672/STEM/9a23a2b47597423fac095d7bbe830e0e.png)
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2 . 如图,
是圆
的直径,弦
的延长线相交于点
,过
作
的延长线的垂线,垂足为
,求证:
.
![](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/7a84a5193d74f98f5dc5319bd9f92ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77d2b2dff11b1f4cbbebd4b85863758.png)
![](https://img.xkw.com/dksih/QBM/2016/5/18/1572636302245888/1572636308627456/STEM/3d6fed7b677440a1aea20281103ddf5b.png)
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3 . 如图,四边形 ABDC内接于圆,BD=CD,过C点的圆的切线与AB的延长线交于E点.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572473081249792/1572473087451136/STEM/98127c2900aa463da4429de19f66eaaf.png?resizew=189)
(1)求证:
;
(2)若BD⊥AB,BC=BE,AE=2,求AB的长.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572473081249792/1572473087451136/STEM/98127c2900aa463da4429de19f66eaaf.png?resizew=189)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd05f232b159240e8e8c3e5c7a1affb4.png)
(2)若BD⊥AB,BC=BE,AE=2,求AB的长.
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4 . 如图,
为⊙
的直径,直线
与⊙
相切于点
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
,
、
为垂足,连接
. 若
,
,求
的长.
![](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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a77aa6c27acfffcc601d9ca7e6d4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6370d6c626bdabf1fc694501ee6c714f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/ca09b6cf-45fa-424f-93c0-411baaf1217e.png?resizew=185)
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5 . 在
中,已知
是
的平分线,
的外接圆交
于点
.若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e8ecb371ce77dca5554e8e03b41386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a19c9dcf54a991c548051c0c2fb6b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7facb932529ae0d511d77714cf9e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://img.xkw.com/dksih/QBM/2015/7/30/1572198128050176/1572198134341632/STEM/b7e1befcab574bc3b373e00b08450ec6.png?resizew=176)
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6 . 选修4—1:几何证明选讲
如图,
是
的切线,
是
的割线,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e1b6327ba01b3dba07a9546d3192a2.png)
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dc62e10004e73908091338362917da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e1b6327ba01b3dba07a9546d3192a2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/071f9ad4-4afb-438a-a5f4-28bf2f783a0a.png?resizew=184)
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7 . (选修4-1:几何证明选讲)如图在
中,AB=AC,过点A的直线与
的外接圆交于点P,交BC的延长线于点D.求证![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97679687e259bf1b3747ed0d66095e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97679687e259bf1b3747ed0d66095e08.png)
![](https://img.xkw.com/dksih/QBM/2015/6/25/1572146522185728/1572146528272384/STEM/ad534447038f416e9b8b8e7d68128cd1.png)
您最近一年使用:0次
8 . 如图,已知直线
为圆
的切线,切点为
点
在圆上,
的角平分线
交圆于点
垂直
交圆于点
证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588581afee275bc6e60ecb026e3d1c48.png)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572120090091520/1572120096423936/STEM/55bccd26148b4a2d9a56dcf46b43e1e7.png)
![](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/9f0925a8681562ebfa9190b267e85099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50b050884767d156c559990850c29392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00f3261ffdaedb7c1eeff56235738df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7170bb4a2ddcef39391a06c989162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588581afee275bc6e60ecb026e3d1c48.png)
![](https://img.xkw.com/dksih/QBM/2015/6/4/1572120090091520/1572120096423936/STEM/55bccd26148b4a2d9a56dcf46b43e1e7.png)
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9 . (选修4-1:几何证明选讲)如图,AB是圆O的直径,D为圆O上一点,过D作圆O的切线交AB的延长线于点C.若AB =" 2" BC ,
求证:
.
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1393308bc68322f50fa29702dd412263.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/469c5b94-1ab1-40e7-a3ba-ca05c377b671.png?resizew=171)
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10 . 如图,AD是∠BAC的平分线,圆O过点A且与边BC相切于点D,与边AB、AC分别交于点E、F,求证:EF∥BC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/a6cceaff-91fb-45a9-a999-4d4c4d286be8.png?resizew=219)
您最近一年使用:0次