1 . 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
2 . 如图,⊙O的半径OB垂直于直径AC,D为AO上一点,BD的延长线交⊙O于点E,过E点的圆的切线交CA的延长线于点P.
求证:PD2=PA•PC
求证:PD2=PA•PC
![](https://img.xkw.com/dksih/QBM/2018/11/16/2076809708109824/2078307597312000/STEM/23a2012e-b378-468a-81a7-84d80fbd22c3.png?resizew=186)
您最近一年使用:0次
3 . 如图,
为圆
的直径,
在圆
上,
于
,点
为线段
上任意一点,延长
交圆
于
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/518a7914-9f31-4df5-ad5a-618430f47b64.png?resizew=151)
(1)求证:
;
(2)若
,求
的值.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e68633cbbe3cc2d0801305f81a7aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658aac3f20dd3b0dc409b9fe9d48e4fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/518a7914-9f31-4df5-ad5a-618430f47b64.png?resizew=151)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b63745558b8ca67cd9a10cc85b00696.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea37f262f50b2c43b5c5fba506f3f39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9935fd41734aa307e947e119880e21.png)
您最近一年使用:0次
名校
4 . 在△ABC中,
,△ABC的外接圆⊙O的弦AD的延长线交BC的延长线于点E.
![](https://img.xkw.com/dksih/QBM/2017/12/20/1842412255551488/1843886128168960/STEM/13fb6583aaa942d3bb26259527c12913.png?resizew=265)
求证:△ABD∽△AEB.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://img.xkw.com/dksih/QBM/2017/12/20/1842412255551488/1843886128168960/STEM/13fb6583aaa942d3bb26259527c12913.png?resizew=265)
求证:△ABD∽△AEB.
您最近一年使用:0次
5 . 如图,
是圆
的切线,切点为
,
是过圆心
的割线且交圆
于点
,过
作圆
的切线交
于点
,
. 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/e02a68a2e27f6c7a6d03f2fd7a602b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5178fcc1a040999563466fd69ed8b69a.png)
![](https://img.xkw.com/dksih/QBM/2017/12/16/1839787439570944/1841115563515904/STEM/44fde1f05ec4476e974e47f5a282586d.png?resizew=149)
您最近一年使用:0次
6 . [选修41:几何证明选讲]
如图,
是圆
的切线,切点为
,
是过圆心
的割线且交圆
于
点,过
作圆
的切线交
于点
.
求证:
.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7720ba35de8581eb799fcaa81cfbaf8d.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5178fcc1a040999563466fd69ed8b69a.png)
![](https://img.xkw.com/dksih/QBM/2017/11/16/1818403876003840/1818423632052224/STEM/b970ed2b97bd4b7a84154cf5ec46c9f0.png?resizew=192)
您最近一年使用:0次
名校
7 . 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:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/901712169cdb94a3c93687b0bdf3c69e.png)
![](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/7a84a5193d74f98f5dc5319bd9f92ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5eeff8d9aba313f0210bf40705b79f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/901712169cdb94a3c93687b0bdf3c69e.png)
![](https://img.xkw.com/dksih/QBM/2016/11/24/1573175476822016/1573175483023360/STEM/6e084f556f8c40c986064c2e6451df8e.png?resizew=174)
您最近一年使用:0次
2016-12-05更新
|
273次组卷
|
5卷引用:2017届江苏苏州市高三期中调研数学试卷
8 . A.(几何证明选讲)
如图,
为圆
的直径,
在圆
上,
于
,点
为线段
上任意一点,延长
交圆
于
,
.
(1)求证:
;
(2)若
,求
的值.
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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e68633cbbe3cc2d0801305f81a7aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/03902478df1a55bc99703210bccab910.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/7cc9c9a1c828f5b3c718e2a98a749192.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b63745558b8ca67cd9a10cc85b00696.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea37f262f50b2c43b5c5fba506f3f39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9935fd41734aa307e947e119880e21.png)
![](https://img.xkw.com/dksih/QBM/2017/11/26/1825705412747264/1826888858271744/STEM/b3afa65ab2774f53a783b1296f48b881.png?resizew=143)
您最近一年使用:0次
2016-12-04更新
|
189次组卷
|
3卷引用:江苏省常熟市2018届高三上学期期中考试数学试题