名校
1 . 如图所示,已知直线
的方程为
,⊙
,⊙
是相外切的等圆.且分别与坐标轴及线段
相切,
,则两圆半径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
__________ (用常数
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f6e613ffa032e7e893daa1970d3948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/4b2bc7331e651f466890b46111b962e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/4c1689d5-6d77-40e0-b08d-9da2426bc4fc.png?resizew=171)
您最近一年使用:0次
2018-05-25更新
|
184次组卷
|
2卷引用:【全国百强校】安徽省合肥市第一中学2018冲刺高考最后1卷理科数学试卷
2 . 如图所示,以直角三角形
的斜边
为直径作外接圆
,
为圆
上任一点,连接
,过点
作
边上的高
,过点
作圆
的切线与
的延长线交于点
.
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572927076605952/1572927083085824/STEM/8b4739e826694db68b867b3d21f14257.png)
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e17966797ec9e37f56c1193af65ebf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572927076605952/1572927083085824/STEM/8b4739e826694db68b867b3d21f14257.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572927076605952/1572927083085824/STEM/d68e153506ee44c4b95591843d14d7c3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4e1ec75d4b7bca856b2333167a5203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
3 . 选修4—1:几何证明选讲
如图,正方形
边长为2,以
为圆心、
为半径的圆弧与以
为直径的半圆
交于点
,连结
并延长交
于点
.
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572303048089600/1572303053774848/STEM/2b0f6c30d08f4e0cb3a387d46d38108a.png)
(1)求证:
;
(2)求
的值.
如图,正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572303048089600/1572303053774848/STEM/2b0f6c30d08f4e0cb3a387d46d38108a.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572303048089600/1572303053774848/STEM/f517e292c11c41738576ba48ba458eee.png)
(2)求
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572303048089600/1572303053774848/STEM/b8c0ccf4209b4eb19bfe65d27a72052d.png)
您最近一年使用:0次
2016-12-03更新
|
189次组卷
|
4卷引用:2016届安徽省合肥一中高三下学期冲刺模拟理科数学A卷