真题
1 . 如图,圆O的半径为2,AB为圆O的直径,P为AB延长线上一点,过P作圆O的切线,切点为C.若
,求 BC 的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1720da6d65e7fa854d98322d3864240.png)
![](https://img.xkw.com/dksih/QBM/2018/6/10/1964174441160704/1964226082103296/STEM/802ce7143149431db5f9980f3b7a72ad.png?resizew=202)
您最近一年使用:0次
真题
2 . 【选修4-1:几何证明选讲】
如图,AB为半圆O的直径,直线PC切半圆O于点C,AP⊥PC,P为垂足.
![](https://img.xkw.com/dksih/QBM/2017/8/7/1746946785624064/1747038148124672/STEM/f4e217c9aa914eff8ada98e8c8c22b1b.png?resizew=219)
求证:(1)∠PAC=∠CAB;
(2)AC2 =AP·AB
如图,AB为半圆O的直径,直线PC切半圆O于点C,AP⊥PC,P为垂足.
![](https://img.xkw.com/dksih/QBM/2017/8/7/1746946785624064/1747038148124672/STEM/f4e217c9aa914eff8ada98e8c8c22b1b.png?resizew=219)
求证:(1)∠PAC=∠CAB;
(2)AC2 =AP·AB
您最近一年使用:0次
3 . 如图,已知
是
的外角
的平分线,交
的延长线于点
,延长
交
的外接圆于点
,连结
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/b88c8aa3-1254-4cbd-ad9c-f265eab76449.png?resizew=207)
(1)求证:
;
(2)若
是
外接圆的直径,
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6344778ed1e75c1a99e2268468081867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa175408eddbdfddfbe9701646d62b92.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/b88c8aa3-1254-4cbd-ad9c-f265eab76449.png?resizew=207)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07b92b8282c7fd1158b3b5098e38c39.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba4d0b54a0b2104e1c3a2061e4bffc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
名校
4 . 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.
您最近一年使用:0次
5 . 如图,四边形
是圆的内接四边形,
,
、
的延长线交于点
.求证:
平分
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb67f27bcda7681b19239a199b4c4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36ff76f9f1ee12db562cde7a58b8c3.png)
![](https://img.xkw.com/dksih/QBM/2018/10/15/2054409853542400/2059748077608960/STEM/ba59d31e-853f-4f57-bf17-fd8d5365e04d.png?resizew=328)
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6 . [选修4-1:几何证明选讲]
如图,
是圆
的直径,弦
,
的延长线相交于点
,
垂直
的延长线于点
.
求证:
.
如图,
![](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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151d70f8913ad2464fc347a6f4203658.png)
![](https://img.xkw.com/dksih/QBM/2018/4/18/1926654016864256/1928995903381504/STEM/da3ecc7eea4a41ca91702badb516617b.png?resizew=203)
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7 . 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:南京市、盐城市2018届高三年级第一次模拟考试数学(理)试题
8 . 如图,已知
的半径为
,
的半径为
,两圆外切于点
.点
为
上一点,
与
切于点
.若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01ba3f329b712e87ead41125cacd34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d583183429b6b31aa9742eefc67d3181.png)
![](https://img.xkw.com/dksih/QBM/2018/2/22/1887858184478720/1892230558900224/STEM/5e0ca53af3d2480a9698b0e16b278341.png?resizew=227)
您最近一年使用:0次
2018-02-28更新
|
158次组卷
|
2卷引用:江苏省南通市、泰州市2018届高三年级第一次调研测试数学(理)试题
2018高三下·江苏·专题练习
9 . [选修4-1:几何证明选讲]
如图,AD,BC,CD是以AB为直径的圆的切线,切点分别为A,B,P,AC和BD交于Q点.
![](https://img.xkw.com/dksih/QBM/2018/5/15/1945762290966528/1946605564076032/STEM/9b86f66031854c81883fbbe33e8de2f5.png?resizew=170)
求证:
.
如图,AD,BC,CD是以AB为直径的圆的切线,切点分别为A,B,P,AC和BD交于Q点.
![](https://img.xkw.com/dksih/QBM/2018/5/15/1945762290966528/1946605564076032/STEM/9b86f66031854c81883fbbe33e8de2f5.png?resizew=170)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84733f9dc908ceb11459cc2aed580ab.png)
您最近一年使用:0次
10 . [选修41:几何证明选讲]
如图,圆
的弦
,
交于点
,且
为弧
的中点,点
在弧
上.若
,求
的度数.
如图,圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f6e483598bba7f3fafc18d8f9f1c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ff1350bd72625328c85c3097cd85e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/26407114-1dfd-4a00-ba45-0735eb9418d8.png?resizew=142)
您最近一年使用:0次