1 . 选修4-1:几何证明选讲
如图,等边三角形
内接于圆
,以
为切点的圆
的两条切线交于点
,
交圆
于点
.
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/81a2034bb5884dbb8fb950289d74455b.png)
(1)求证:四边形
为菱形;
(2)若
,求等边三角形
的面积.
如图,等边三角形
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/b14f487803734a408ef11a0a24ab6cb3.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/d8c5684dcc7844df9dcdca6cc57f4e99.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/b9aaa9937d4947ac8e9fdebd4a81c03e.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/d8c5684dcc7844df9dcdca6cc57f4e99.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/0d182b60a23f4c2dbfd61088479c4ccb.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/7b36e47cb3b449099c42caa838f69826.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/d8c5684dcc7844df9dcdca6cc57f4e99.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/da51e06ba72147f0b7cf56d180428ad0.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/81a2034bb5884dbb8fb950289d74455b.png)
(1)求证:四边形
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/aae1360d683b409d8355fbf24ba4bec4.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/6be006f766f04a38b903a6283d9e7b33.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/b14f487803734a408ef11a0a24ab6cb3.png)
您最近一年使用:0次
2 . 选修4-1:几何证明选讲
如图,
是
的外接圆,
的平分线
交
于
,交
于
,连接
并延长, 交
于
,交
于
.
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573003126251520/1573003132870656/STEM/a5e23fa7201644d1bf658198a0a2c24e.png)
(1)证明:
;
(2)若
求
的长.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6062582a0a1679aa777451f25008411d.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573003126251520/1573003132870656/STEM/a5e23fa7201644d1bf658198a0a2c24e.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c2123f90f931140fe9f85a3e61e30d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a30bf456a72760e9a91e070752d8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2016-12-04更新
|
120次组卷
|
3卷引用:2016届山西晋城市高三下学期三模考试理数学试卷
3 . 选修4-1:几何证明选讲
已知如图,四边形
是圆
的内接四边形,对角线
交于点
,直线
是圆
的切线,切
点为
,
.
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(1)若
,求
的长;
(2)在
上取一点
,若
,求
的大小.
已知如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac07c8a89cc64fde478fff9da45b7ad.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/32da3ad1210e409d949bd8c5de8ab84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)在
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/4342a0ab72484c1aa017103a09453653.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c8c6545fd3364b64a3783119404c785b.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/35c1cfc7bf4e4d2aa008c79a2453f3e7.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c711092c86f64a96bd8dc66156749261.png)
您最近一年使用:0次
4 . 选修4-1:几何证明选讲
已知如图,四边形
是圆
的内接四边形,对角线
交于点
,直线
是圆
的切线,切
点为
,
.
(1)若
,求
的长;
(2)在
上取一点
,若
,求
的大小.
已知如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac07c8a89cc64fde478fff9da45b7ad.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24baa0e5971b5e3e41477c183b56e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7341a01a2aa0d2d565e5abba6a5e76d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c028c1617dbdbe72d6e78096b9d17221.png)
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993616281600/1572993622712320/STEM/78d2b6074e4e4c7ba8f4055a6dbc5df6.png)
您最近一年使用:0次
2010·辽宁沈阳·一模
名校
5 . 选修4—1:几何证明选讲
如图,⊙
的直径
的延长线与弦
的延长线相交于点
,
为⊙
上一点,AE=AC ,
交
于点
,且
,
(1)求
的长度.
(2)若圆F且与圆
内切,直线PT与圆F切于点T,求线段PT的长度
如图,⊙
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/9b394cbb08bb4172b6f683d6d56d6e50.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/350a704761f9467f8c4afa5481841a93.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/667c27d748924846b3fe0a8b796f7611.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/6f5023d9d77045569aea4e23aefffb2c.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/e630d8135d4a42eeac25fce4d7c4f4aa.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/9b394cbb08bb4172b6f683d6d56d6e50.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/0d6b089decd74c2d90a9f8349e6fb084.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/350a704761f9467f8c4afa5481841a93.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/609eaf95ae7c4ec9beab6590288546c3.png)
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/cc991d1fa6f0480793c189a4a91dc30a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
(2)若圆F且与圆
![](https://img.xkw.com/dksih/QBM/2010/4/17/1569698449612800/1569698454904832/STEM/9b394cbb08bb4172b6f683d6d56d6e50.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/4a3efc5b-125f-4950-9f60-1200190599ea.png?resizew=198)
您最近一年使用:0次
2016-12-03更新
|
340次组卷
|
5卷引用:2015届山西省太原市五中高三5月月考理科数学试卷
2015届山西省太原市五中高三5月月考理科数学试卷2015届山西省太原市五中高三5月月考文科数学试卷(已下线)辽宁省沈阳第十中学2010届高三高考模拟考试数学试题(理科)2014-2015学年湖南浏阳一中高二下学期期末理科数学试卷湖南省长沙市第一中学2016-2017学年高二下学期模块性检测数学(理)试题
12-13高三·河南南阳·阶段练习
6 . 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届山西省榆林市高三二模理科数学试卷
2012·河北衡水·一模
7 . 如图,
是圆的两条平行弦,
,
交
于
、交圆于
,过
点的切线交
的延长线于
,
,
.
![](https://img.xkw.com/dksih/QBM/2013/1/21/1571105310400512/1571105316200448/STEM/07621d023a264552a14e51ad914afbed.png)
(1)求
的长;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d1ee2efdb2c3b7c90198efc88010db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1299069da883e3285cea3f2d54ad1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://img.xkw.com/dksih/QBM/2013/1/21/1571105310400512/1571105316200448/STEM/07621d023a264552a14e51ad914afbed.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2e1083b773e16d1e385072652f7319.png)
您最近一年使用:0次