1 . 如图,
是
的一条切线,切点为B,ADE,CFD和CGE都是
的割线,
.
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/23e6b1c2c22b42f9bba3de98782119d4.png)
(1)证明:
;
(2)证明:
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/5d38634d46364fc09b1c172249028741.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/9d71fc7a9711436dacdae5c4968cadf3.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/9d71fc7a9711436dacdae5c4968cadf3.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/0f73ab273346470fa702c664587ffb03.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/23e6b1c2c22b42f9bba3de98782119d4.png)
(1)证明:
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/f0850861173046afbddf269a796f97d9.png)
(2)证明:
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572467881017344/1572467887185920/STEM/d223d506703d434b8d283bdea4e56d3a.png)
您最近一年使用:0次
真题
2 . 如图所示,过
外一点
作一条直线与
交于
,
两点,已知
,点
到
的切线长
,则弦
的长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.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/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fca8c94add435f4aefb933ffe55a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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名校
3 . 已知直线
和圆
相交于
两点,若
,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023ab3a7eb0f59993c7608576e47c0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c59a45293ce4559f939ece10b54913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14a85d5d71e238da9f4e499faec0f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 如图,
、
分别是圆
的切线和割线,其中
为切点,
为切线
的中点,弦
、
相交于点
,弦
延长线上的点
,满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3bbc2f154292f5d767fa24bc3f9d9d.png)
求证:、
、
三点共线的充分必要条件是
、
、
三点共线.
![](https://img.xkw.com/dksih/QBM/2017/8/2/1743616646004736/1745775321595904/STEM/de21a44633ca449299815c7b70691184.png?resizew=214)
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5 . 选修4-1:几何证明选讲
如图,
为
的直径,过点
作
的切线
交
于点
的延长线交
于点
.
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619402851647488/1619402852311040/STEM/4b8c1e8cfa464e90995e6a12224c36a1.png)
(1)求证:
;
(2)若
,求
和
的长.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eab767f07893891de2f6558d45e9b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b07f3700c45a84b02f153ea0fb20b4bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619402851647488/1619402852311040/STEM/4b8c1e8cfa464e90995e6a12224c36a1.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283c87427f4af230ba9e20ba9446a922.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd2c6dbd4815508d9480ed15277fe5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
6 . 选修4-1:几何证明选讲
如图,已知
为圆
的直径,
,
是圆
上的两个点,
是劣弧
的中点,
⊥
于
,
交
于
,交
于
.
![](https://img.xkw.com/dksih/QBM/2016/11/1/1573105381957632/1573105388265472/STEM/6b9a7851a31146389cd3d77b76ef8d00.png)
(1)求证:
;
(2)求证:
.
如图,已知
![](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/8455657dde27aabe6adb7b188e031c11.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/11/1/1573105381957632/1573105388265472/STEM/6b9a7851a31146389cd3d77b76ef8d00.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a568993b1632e5d8fbc202352fb691df.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec61091a2ac1d2075dfd325c91c8290b.png)
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7 . 选修4-1:几何证明选讲
如图,圆
是
的外接圆,
是
的中点,
交
于
.
![](https://img.xkw.com/dksih/QBM/2016/10/31/1573101706616832/1573101712711680/STEM/da5dea06400c4783b9c5f7d2caf7482a.png)
(Ⅰ)求证:
;
(Ⅱ)若
,点
到
的距离等于点
到
的距离的一半,求圆
的半径
.
如图,圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2333da32638ec636fa1e69e750ca4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e262f59351803e420bf1226c95e4bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/10/31/1573101706616832/1573101712711680/STEM/da5dea06400c4783b9c5f7d2caf7482a.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c785dd3acc900f2df19930dcb0b816c.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73c03338db66b081700f70bcf9a0989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次
2016-12-04更新
|
146次组卷
|
2卷引用:2017届湖南永州市高三高考一模考试数学(理)试卷
8 . 已知
为圆
的直径,点
为圆周上一点,
于点
,过点
作圆
的切线交
的延长线于点
,过点
作
垂直
的延长线于点
,求证:
![](https://img.xkw.com/dksih/QBM/2016/9/25/1573039501918208/1573039508242432/STEM/cafa39f8985a4c03b1c574e1a645a739.png)
(1)
;
(2)
.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17be90850a55d8b037e15d45de2bab0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/9/25/1573039501918208/1573039508242432/STEM/cafa39f8985a4c03b1c574e1a645a739.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1e47a868406b2d2682e77d18b7199f6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d212c1709b8e72a055cf1b5381ef64.png)
您最近一年使用:0次
9 . 选修4-1:几何证明选讲
如图,
是
的直径,
是
上的点,
是
的平分线,过点
作
,交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/9/14/1573024802406400/1573024808894464/STEM/84902b9bf855499b96ba3e3e126b5b6a.png)
(1)求证:
;
(2)过
点作
,垂足为
,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/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535a65c61f47d2b893706d4bc3499e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/9/14/1573024802406400/1573024808894464/STEM/84902b9bf855499b96ba3e3e126b5b6a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412e83a76b740809cc67f48053586e4c.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4fedfec2258cee649e03043bd45627.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2d7f49c2ef973e8241da30b70104d6.png)
您最近一年使用:0次
2016-12-04更新
|
127次组卷
|
2卷引用:2016届湖南宁远县一中高三下学期模拟考试数学(理)试卷
10 . 如图,四边形
外接于圆,
是圆周角
的角平分线,过点
的切线与
延长线交于点
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/2016/9/14/1573022490525696/1573022496415744/STEM/9698b31dd9254ce2ace4043c4ca50381.png)
(1)求证:
;
(2)若
是圆的直径,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd777f9452cb8b56d8a0d3b07d15c19f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/2016/9/14/1573022490525696/1573022496415744/STEM/9698b31dd9254ce2ace4043c4ca50381.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73c8a92b36b72cc4441fd0a9013f841.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f03dab955d3953261e1f3f437f6128f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次