1 . 如图,
是⊙
的一条切线,切点为
,
都是⊙
的割线,已知
.
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/0433185da23348ebbc2634ecf58fb27d.png)
(1)证明:
;
(2)证明:
.
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/2160e9cb7cc2449683d385ca9a8d793b.png)
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/6d34337901704bd9aac7b1ad1b614718.png)
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/279e4ecbd94948f581ddc16bd8a8ce07.png)
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/cee35282c57a49c7ab7d3e753de90814.png)
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/6d34337901704bd9aac7b1ad1b614718.png)
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/170af1474dfd42e4858b0eea7a9b4191.png)
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/0433185da23348ebbc2634ecf58fb27d.png)
(1)证明:
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/b60f01e161974194a85559379f37d6fd.png)
(2)证明:
![](https://img.xkw.com/dksih/QBM/2013/12/3/1571421837418496/1571421843177472/STEM/e5a4cd78aad44199970b7f674bc85159.png)
您最近一年使用:0次
2 . 几何证明选讲
如图,
是圆
的直径,
,且
.
![](https://img.xkw.com/dksih/QBM/2016/11/24/1573174795157504/1573174801285120/STEM/d85c2bc295d14f8abfd2a8c19df5c8d5.png)
(1)求证:
;
(2)求
的值.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f155d0eacbae1e6c11d8558f91955df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f31dfadd380250b6797c7f79c9eccd.png)
![](https://img.xkw.com/dksih/QBM/2016/11/24/1573174795157504/1573174801285120/STEM/d85c2bc295d14f8abfd2a8c19df5c8d5.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492b5aafdee54f6891ff92ef43678b1d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
3 . 选修4-1:几何证明选讲
如图,
是
的直径,
为
的切线,点
为
上不同于
、
的一点,
为
的平分线,且分别与
交于
,与
交于
,与
交于
,连接
、
.
![](https://img.xkw.com/dksih/QBM/2016/11/3/1573118771642368/1573118777868288/STEM/f733e75dc7ad4d0f9e3fc0098f87da84.png)
(Ⅰ)求证:
;
(Ⅱ)求证:
.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6062582a0a1679aa777451f25008411d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2016/11/3/1573118771642368/1573118777868288/STEM/f733e75dc7ad4d0f9e3fc0098f87da84.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9161ed2efa3bc2130a7ce88161c72c1c.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eddc2ca8b661465c6896ba52c2a7905e.png)
您最近一年使用:0次
2016-12-04更新
|
106次组卷
|
2卷引用:2017届辽宁庄河市高级中学高三9月月考数学(理)试卷
4 . 选修4-1:几何证明选讲
如图,已知
是⊙
的直径,点
是⊙
上一点,过点
作⊙
的切线,交
的延长线于点
,过点
作
的垂线,交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/be73ec72053a443dae4b399043b9fee5.png)
(1)求证:
为等腰三角形;
(2)若
,求⊙
的面积.
如图,已知
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/669ff222b6644087996fce53944ed8a9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/241013121d964faa989f5b337dde0eec.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/241013121d964faa989f5b337dde0eec.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/669ff222b6644087996fce53944ed8a9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/4f7227bbb85e4ccc9aca2f3d89d74d6a.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/4f7227bbb85e4ccc9aca2f3d89d74d6a.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/0f350866a3194483857c706845a5b533.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/16ed085ecd2549528a56518b6ad539cb.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/b0979b4504334f20a0f3fd27e4911c43.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/be73ec72053a443dae4b399043b9fee5.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/d5995bc2336f41e5b2b65470ba66fb01.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/173baa40701e4380b216921008b214f4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573068666142720/1573068672483328/STEM/9452f10d6b71471799d48ae78e753bb4.png)
您最近一年使用:0次
2016-12-04更新
|
79次组卷
|
2卷引用:2015-2016学年辽宁瓦房店市高级中学高二下期末数学(理)试卷
5 . 选修4-1:几何证明选讲
已知
中,
,
是
外接圆劣弧AC上的点(不与点
重合),延长
至
.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/6b7a244ca80c47ee92e32a706f87fdf1.png)
(1)求证:
的延长线平分
;![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/f2baca9a1359442fb6bc066abae27f34.png)
(2)若
,
中
边上的高为
,求
外接圆的面积.
已知
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/372bc35b1981438da52b2294236cbcc7.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/10d1b8ea6ef94bcbae4a753aad5789a1.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/d08a415981ac412ab895f83bf1c7c843.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/06ce7cc6f2d744ecaeb93d13ee629e95.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/3bb7fe03d2e64c188d1df3bd7142c758.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/6b7a244ca80c47ee92e32a706f87fdf1.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/50df022b812b4a1cb956149438fd504d.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/9b1164b1503546a5ad69550cce42f138.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/f2baca9a1359442fb6bc066abae27f34.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/7e709f11ea6341ab941a60bb53794ee4.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/798bd88ac4074985a8c5bcf2f8bc08f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16edecab3862a10bc9480543c34478a9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067962802176/1573067969060864/STEM/ca4c1810dd4e4d58927bc6fc73a94e45.png)
您最近一年使用:0次
6 . 选修4-1:几何证明选讲
在
中,
,过点A的直线与其外接圆交于点P,交BC延长线于点D.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067832500224/1573067838676992/STEM/7e80208bb62b4479935a131c3adc7420.png)
(1)求证:
;
(2)若AC=3,求AP•AD的值.
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067832500224/1573067838676992/STEM/7e80208bb62b4479935a131c3adc7420.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23c27fa3a2f7a0052415716dc1f3cc9.png)
(2)若AC=3,求AP•AD的值.
您最近一年使用:0次
7 . 如图
是
的内接三角形,
是
的切线,切点为
,
,
交
于点
,交
于点
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/2a357bcc87c648ff8fedfef040b2d524.png)
(1)求
的面积;
(2)求弦
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef227e3c17e425d6809b50489f83f50b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/a505918f471e4a75acd1e75c2fa893be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/55f102b88f6e4d7194986939500fa96b.png)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/47b4566bbb7a4c1099b73275908b7096.png)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/7674e6f9d5044cf69c2fce1d5ff82eea.png)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/0864a8e4010a4770a8d4737ba2ccdeaa.png)
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/2a357bcc87c648ff8fedfef040b2d524.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2016/6/23/1572806612631552/1572806618841088/STEM/93ce5f8adad84adbb71949c09fc08280.png)
(2)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
8 . 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
9 . 选修4—1:几何证明选讲.
如图,
是圆
的直径,
是
延长线上的一点,
是圆
的割线,过点
作
的垂线,交直线
于点
,交直线
于点
,过点
作圆
的切线,切点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/c3ee386a-a253-4140-a140-eef433b37f88.png?resizew=211)
(1)求证:
四点共圆;
(2)若
,求
的长.
如图,
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/a72edd863c11440cb5a47a55e7477bbc.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/4f49b4a18df643b1a0c5ec2c6119b7ab.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/ec70dc2575b14d919a568be76bcd7b9d.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/a72edd863c11440cb5a47a55e7477bbc.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/98b93d0c344c48f7bd2cd3ceeb39964d.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/4f49b4a18df643b1a0c5ec2c6119b7ab.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/ec70dc2575b14d919a568be76bcd7b9d.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/b06cd97c48384e058dd2334ee8195a6c.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/904ec4bbbc4941aeab1c40663cceb7c9.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/10cefb6e69094255b5150f4ad0965482.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/107ac02b32d64267ba1ab9ddf9405ca7.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/e8f6bc32db8145e4aaa8b3a2d4d86ee4.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/ec70dc2575b14d919a568be76bcd7b9d.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/4f49b4a18df643b1a0c5ec2c6119b7ab.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/1bc4c15bc7214e879246260904c24051.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/c3ee386a-a253-4140-a140-eef433b37f88.png?resizew=211)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/cfc7714997b3438e9f78eb0d91df4f5e.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/dcb3e678c5b74e579f2cea375bdca0f3.png)
![](https://img.xkw.com/dksih/QBM/2015/12/24/1572395363672064/1572395369275392/STEM/821c034b92b34afeb9c5ebcd54eb72ce.png)
您最近一年使用:0次
2016-12-03更新
|
281次组卷
|
2卷引用:2016届辽宁省抚顺市一中高三12月月考理科数学试卷
10 . 选修4-1:几何证明选讲
如图,四边形ABCD是圆
的内接四边形,延长BA和CD相交于点P,
,
.
![](https://img.xkw.com/dksih/QBM/2015/11/17/1572293634170880/1572293640495104/STEM/15f966abdd3a48c59622187b04cc184f.png)
(Ⅰ)求
的值;
(Ⅱ)若BD为圆
的直径,且
,求BC的长.
如图,四边形ABCD是圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c47895f3b69809cf09e3dab02ba5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d4bcedd4c1a7e6792bd3fae1149825.png)
![](https://img.xkw.com/dksih/QBM/2015/11/17/1572293634170880/1572293640495104/STEM/15f966abdd3a48c59622187b04cc184f.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606ff826406d9fc8403d365762cd9e4c.png)
(Ⅱ)若BD为圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc532cfe64300cb3da9e04a307c957a.png)
您最近一年使用:0次
2016-12-03更新
|
220次组卷
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3卷引用:2016届辽宁省抚顺市一中高三10月月考理科数学试卷