1 . 如图所示,已知
的半径为5,两弦
相交于
的中点
,且
,
,则圆心到弦
的距离为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216309760/STEM/0dc3c8eae2084be882c3aad96e42d349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28d2790a97390935125aa897417f970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd4f42b0c8c1b81c4f2a73bfa67b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216309760/STEM/0dc3c8eae2084be882c3aad96e42d349.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2 . 如图所示,在
中,
与
,下列条件:
(1)
;(2)
;(3)
;(4)
.
其中一定能够判定
是直角三角形的共有
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/402d4cd4014c4264b412098c04a7b96e.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/cb6c408e844541078bb2c3912ed08681.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/704eaa68b23c4639a2dac806fae8e0b8.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/c09024ec8f124242bc2fab83eea721bb.png)
(1)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/eeaa06e3d67b44c0b856a6fac1428276.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/218d9d0236814cb4b34cb26243228ef6.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/c19101d597ba460ab7db06a940f5e714.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/1ec3381d1609404bafdcc7e239d62f6d.png)
其中一定能够判定
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/cb6c408e844541078bb2c3912ed08681.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519380992/STEM/402d4cd4014c4264b412098c04a7b96e.png)
A.3个 | B.2个 |
C.1个 | D.4个 |
您最近一年使用:0次
3 . 如图所示,在直角梯形
中,
,
,
.如果
边上的点
使得以
为顶点的三角形和以
为顶点的三角形相似,那么这样的点
有
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/2c055edac3c04bf799d447445e40d323.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/3691410879e64c75ae9ed19818e0c21b.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/3e76609a1f3f43288425c2909534b9fb.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/0d0c1e5be02e45afbf0e15aba3fd7746.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/8e17317657564ff9980c2391e3fb53d2.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/0c1cca4ccfa54ad6ba127c181260c24d.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/55c6c8792e274ac09db72dff21ec9246.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/91431cf7cb5640179674adabaf0203f5.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/4df0de05bdc9499889273b8c69e3676f.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/55c6c8792e274ac09db72dff21ec9246.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519405568/STEM/2c055edac3c04bf799d447445e40d323.png)
A.1个 | B.2个 |
C.3个 | D.0个 |
您最近一年使用:0次
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.![]() |
您最近一年使用:0次
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.![]() |
您最近一年使用:0次
6 . 如图所示,已知
是圆心,直径
和弦
相交于点
,
,
,
,则
等于
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/3921ec3c590445baa52a1041fd79ab28.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/d078ad3c5e304917969a5aa2637fb94a.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/46a3f5efc0014ce6bf83a536bc3d05d9.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/0265cd0807b94ce28d417b8cee9202cf.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/32b78dd824ba4c139fdec2dbcf656d84.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/13a221a800c94202b39b9ed179bda3bb.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/5a8ad33512354a158f701b6ec772fa42.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/532c4f12fc4c4f66904c9f31d9674345.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/46a3f5efc0014ce6bf83a536bc3d05d9.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216457216/STEM/3921ec3c590445baa52a1041fd79ab28.png)
A.3 | B.8 |
C.12 | D.14 |
您最近一年使用:0次
7 . 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.![]() |
您最近一年使用:0次
8 . 如图所示,
的两条弦
和
相交于点
,
和
的延长线相交于点
,下面结论:
;
;
;
.
其中正确的有
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/06344601ab674307bb68879b9d753f3d.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/6260521ba5e7479c9075763efdca1a40.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/fbf72da2406247b5af20ba916f59f8fe.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/273eb9a6681546e2b9ec9b366fedd749.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/346fbcce9a134da6ba1638afa276e3bc.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/d15985c8df374a1b9e9bb34167588aa8.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/27bbd3b340e14c8eaca137c1f2a7b3d1.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/9270ede200d74eb3ba0cc96c943b4286.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/9bb52539e9764984819604acf2227035.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/84ed42c077354b87b5260b27c77c71eb.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/e6457bec85dc43cc8673b2a2d34b004d.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/7a3e673ae41a435dbbac5978c3f38fe2.png)
其中正确的有
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472216219648/1619472216432640/STEM/06344601ab674307bb68879b9d753f3d.png)
A.1个 | B.2个 |
C.3个 | D.4个 |
您最近一年使用:0次
9 . 如图,设
是弦
延长线上一点,且
,过
作圆的切线于
,若
为线段
的中点,连结
交圆于点
,若
.
![](https://img.xkw.com/dksih/QBM/2016/5/9/1572624032727040/1572624038928384/STEM/a9873329fd554a078bdb8cad244ee152.png)
(1)求证:
;
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d03307f689eeb4ecb052c1f27bc9dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ace421df73f31a8e967a1c2c62bfba.png)
![](https://img.xkw.com/dksih/QBM/2016/5/9/1572624032727040/1572624038928384/STEM/a9873329fd554a078bdb8cad244ee152.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f7392aa403ca9e6d70c332c66a83f8.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2016/5/9/1572624032727040/1572624038928384/STEM/dc1fba21d0c84b999d7b255a4e8176fa.png)
您最近一年使用:0次
10 . 选修4﹣1:几何证明选讲
如图,已知PA是⊙O的切线,A是切点,直线PO交⊙O于B、C两点,D是OC的中点,连接AD并延长交⊙O于点E,若PA=2
,∠APB=30°.
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573078232383488/1573078238445568/STEM/68001373d0e44c26a1259b1bff31d3ea.png)
(Ⅰ)求∠AEC的大小;
(Ⅱ)求AE的长.
如图,已知PA是⊙O的切线,A是切点,直线PO交⊙O于B、C两点,D是OC的中点,连接AD并延长交⊙O于点E,若PA=2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573078232383488/1573078238445568/STEM/68001373d0e44c26a1259b1bff31d3ea.png)
(Ⅰ)求∠AEC的大小;
(Ⅱ)求AE的长.
您最近一年使用:0次