1 . 如图,
是圆
的直径,
是圆
上的两点,
,过点
作圆
的切线
交
的延长线于点
,连接
交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/067ddae1-2207-4de1-98a3-1089ca3635ef.png?resizew=176)
(1)求证:
;
(2)若
,试求
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/ea9aa3f533894ca87a394f7a1dfd0ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771b610e4ddefa739a985d1e5462ce5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.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/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/editorImg/2022/12/6/067ddae1-2207-4de1-98a3-1089ca3635ef.png?resizew=176)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0832663dc2ac31bb883db666b58c2da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f2f7183e51aa2ec919cc0e51df5ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
您最近一年使用:0次
2019-06-24更新
|
314次组卷
|
2卷引用:【校级联考】云南省曲靖市陆良县2019届高三上学期第一次摸底考试数学(文)试题
2 . 选修4-1:几何证明选讲
如图,已知
是圆
的直径,直线
与圆
相切于点
,弦
的延长线交
于点
,若
.
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/b713a6ec72c844b8b6a3c8b717ed886a.png)
(1)求证:
;
(2)若
,求
的长.
如图,已知
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/042fd3ef9f594f32a83fdd68d7551d26.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/65ef5b05f2c9405fa299a0171bb54946.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/f7295fa847044b3491efc4855658bcbc.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/65ef5b05f2c9405fa299a0171bb54946.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/8d7ea70146f9455cb69b3b2a027eb17b.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/a21a70b48b4d4667882c4f75bfbb925b.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/f7295fa847044b3491efc4855658bcbc.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/768533cc87644e0a8051f67ccee2cae8.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/a687acef66324117b22f723b21e5711d.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/b713a6ec72c844b8b6a3c8b717ed886a.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/851972b7f1264771b091df44f9b3d5be.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/e28b89ab27f6440a82f71840c417244d.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573134191722496/1573134197751808/STEM/87c70674ae4a405a96994c63081fa409.png)
您最近一年使用:0次
2016-12-05更新
|
84次组卷
|
2卷引用:2017届云南曲靖一中高三上月考二数学(理)试卷
3 . 如图,
交圆于
两点,
切圆于
为
上一点,且
,连接
并延长交圆于点
,作弦
垂直
垂足为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/8b05457f-a85b-413e-8324-3b195a27aa59.png?resizew=230)
(1)求证:
为圆的直径;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9068f29d671d76d1e95ba3a4eaff5b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8fe5165aee9f67db70b508b6fbaf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d307b3c4da63535e665ce0a17712eb47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a3450abdd309e47cd7c33085d68ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/8b05457f-a85b-413e-8324-3b195a27aa59.png?resizew=230)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de966c316db1013defc56372fcf814e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06cd62abe5e301e96111b5060d0c456c.png)
您最近一年使用:0次
2016-12-04更新
|
306次组卷
|
5卷引用:2016届云南省曲靖一中高考复习质量监测六文科数学试卷
12-13高三·河南南阳·阶段练习
4 . 如图,在
中,
是
的角平分线,
的外接圆交
于点
,
.
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
;
(2)当
,
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0427054c47e348f35771872fd0215a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c71855e55064d1dc59eabe43e73a881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846071242f981289741ad19f4e7190cf.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679372e54c59c5cf67931b12b9833e02.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f7d9f5e71bfef8188b1216c1276c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2016-12-02更新
|
728次组卷
|
7卷引用:2016届云南省曲靖一中高考复习质量监测五理科数学试卷