名校
1 . 如图,设
和
都是等边三角形,且
,则
的度数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4b17ce6e90cd3810a3696262e94c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e016fac9484f4f6652da209c9b85d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a55a1a244f81097e05e715b69580faa.png)
![](https://img.xkw.com/dksih/QBM/2017/8/29/1762653204406272/1765471269150720/STEM/3e1a75369a1845f480297f5f73fc72d2.png?resizew=208)
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2 . 如图,在圆内接四边形
中,
,
,
,则四边形
周长的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a581bf97b7c14089725ce108b070d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2017/3/3/1635737700802560/1636762269335552/STEM/f22b7064b19e448dad0eb49baafc4d2b.png?resizew=156)
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3 . 选修4-1:几何证明选讲
如图
是
直径,
是
切线,
交
与点
.
![](https://img.xkw.com/dksih/QBM/2016/11/10/1573138122612736/1573138129133568/STEM/032eb3a5ce50466bae5d05e5521f1f24.png)
(Ⅰ)若
为
中点,求证:
是
切线;
(Ⅱ)若
,求
的大小.
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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/11/10/1573138122612736/1573138129133568/STEM/032eb3a5ce50466bae5d05e5521f1f24.png)
(Ⅰ)若
![](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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db966856ec2cbe925bdf8ee29fc93611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0427054c47e348f35771872fd0215a8a.png)
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4 . 选修4-1:几何证明选讲
如图,圆周角
的平分线与圆交于点
,过点
的切线与弦
的延长线交于点
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273014292480/1572273020624896/STEM/250ee19ea09e4222bacc8433628290df.png)
(1)求证:
;
(2)若
,
,
,
四点共圆,且
,求
.
如图,圆周角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e57541260bfadf7624c86769eec0fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9febb0e53890d2fb72fdfd7f0aa88acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b693717f525facc79b9a500ed998b109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588a2119bc5e8cdf4731828b195a7892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273014292480/1572273020624896/STEM/250ee19ea09e4222bacc8433628290df.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa9132693acc1c5c9f9b50445cf98e2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14da8b9947feb556eb2669fcb6ba6277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e57541260bfadf7624c86769eec0fc1.png)
您最近一年使用:0次
2016-12-04更新
|
90次组卷
|
3卷引用:2017届河南新乡一中高三9月月考数学(理)试卷
5 . 选修4-1:几何证明选讲
如图,
是圆
的直径,
是圆
上两点,
与
相交于点
,
,
是圆
的切线,点
在
的延长线上,且
.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/ba1427b3-a8d2-411d-a18d-702ae388248c.png?resizew=147)
(1)
四点共圆;
(2)
.
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/39acab3cfb59bfc9591371721ab01d93.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbaa12e10837b302535b3331f08b2495.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/ba1427b3-a8d2-411d-a18d-702ae388248c.png?resizew=147)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54583088b8451cdc5ae13b739a8eebb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dfb0a85bb6aee4a1d8fc1abad4eecb.png)
您最近一年使用:0次
2016-12-03更新
|
338次组卷
|
3卷引用:2016届河南省郑州市一中高三上学期联考文科数学试卷
14-15高三上·河南·期中
6 . 选修4-1:几何证明选讲如图,已知圆上的
,过C点的圆的切线与BA的延长线交于E点.
![](https://img.xkw.com/dksih/QBM/2014/11/25/1571902921383936/1571902927413248/STEM/aac9fa294d6e430da924bde6c166019c.png)
(Ⅰ)求证:∠ACE=∠BCD;
(Ⅱ)若BE=9,CD=1,求BC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de966c316db1013defc56372fcf814e.png)
![](https://img.xkw.com/dksih/QBM/2014/11/25/1571902921383936/1571902927413248/STEM/aac9fa294d6e430da924bde6c166019c.png)
(Ⅰ)求证:∠ACE=∠BCD;
(Ⅱ)若BE=9,CD=1,求BC的长.
您最近一年使用:0次
2013·河南·三模
7 . 如图,已知⊙O的半径为1,MN是⊙O的直径,过M点作⊙O的切线AM,C是AM的中点,AN交⊙O于B点,若四边形BCON是平行四边形.
![](https://img.xkw.com/dksih/QBM/2013/11/28/1571414184976384/1571414191095808/STEM/318179d8f57b4653983ded881f24a4f0.png)
(Ⅰ)求AM的长;
(Ⅱ)求sin∠ANC.
![](https://img.xkw.com/dksih/QBM/2013/11/28/1571414184976384/1571414191095808/STEM/318179d8f57b4653983ded881f24a4f0.png)
(Ⅰ)求AM的长;
(Ⅱ)求sin∠ANC.
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2013·河南郑州·一模
8 . 如图,在△ABC中,CD是∠ACB的平分线,△ACD的外接圆交BC于点E,AB=2AC.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560111501312/1572560117145600/STEM/e1066d69f14c4558aded214b8d4dc80a.png)
(Ⅰ)求证:BE=2AD;
(Ⅱ)当AC=1,EC=2时,求AD的长.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560111501312/1572560117145600/STEM/e1066d69f14c4558aded214b8d4dc80a.png)
(Ⅰ)求证:BE=2AD;
(Ⅱ)当AC=1,EC=2时,求AD的长.
您最近一年使用:0次
2016-12-02更新
|
376次组卷
|
5卷引用:2014届河南省中原名校联盟高三上学期第一次摸底考试理科数学试卷
(已下线)2014届河南省中原名校联盟高三上学期第一次摸底考试理科数学试卷(已下线)2014届河南省中原名校联盟高三上学期第一次摸底考试文科数学试卷2016届吉林省松原市油田高中高三上学期期末文科数学试卷2016届广西来宾市高三上学期期末文科数学试卷2016届重庆市巴蜀中学高三3月月考理科数学试卷2
2012·辽宁大连·二模
9 . 已知
为半圆
的直径,
,
为半圆上一点,过点圆的切线
,过
点作
于
,交半圆于点
.
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
平分
;
(2)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/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dae94a9c26b6dd1dbcdebd20373033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b783dc89ca6934572319d2e9dfd22.png)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd777f9452cb8b56d8a0d3b07d15c19f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2016-12-03更新
|
694次组卷
|
13卷引用:2015届河南省八校高三上学期第一次联考理科数学试卷
(已下线)2015届河南省八校高三上学期第一次联考理科数学试卷(已下线)2012届辽宁省大连市沈阳市高三第二次模拟考试理科数学试卷(已下线)2012届河北省唐山一中高三第一次高考仿真测试文科数学试卷(已下线)2014届云南省红河州高三毕业生复习统一检测理科数学试卷(已下线)2014届云南省红河州高三毕业生复习统一检测文科数学试卷2016届安徽省马鞍山二中等高三第三次联考理科数学试卷2016届安徽省马鞍山二中等高三第三次联考文科数学卷2016届贵州省贵阳市一中高三第四次月考理科数学试卷2016届贵州省贵阳市一中高三第四次月考文科数学试卷2016届海南省文昌中学高三上学期期末考试文科数学试卷2016届宁夏六盘山高级中学高三第一次模拟考试理科数学试卷2016届湖北省襄阳市高三上学期期末理科数学试卷福建省2016届高三毕业班总复习(几何选讲)单元过关形成性测试卷(文理科)数学试题
2012·河南焦作·一模
10 . 在
中,AB=AC,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/2012/7/12/1570923707105280/1570923712651264/STEM/13cf603650fe4de19d4d0d65cea4b9fc.png)
(1)求证:
;
(2)若AC=3,求
的值.
![](https://img.xkw.com/dksih/QBM/2012/7/12/1570923707105280/1570923712651264/STEM/4068bd6d669d4586b69702cb3762e8c2.png)
![](https://img.xkw.com/dksih/QBM/2012/7/12/1570923707105280/1570923712651264/STEM/13cf603650fe4de19d4d0d65cea4b9fc.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2012/7/12/1570923707105280/1570923712651264/STEM/0a245338e40a4c728e67305b45866c4f.png)
(2)若AC=3,求
![](https://img.xkw.com/dksih/QBM/2012/7/12/1570923707105280/1570923712651264/STEM/3d841a1467fa49a59809ed6a011bc517.png)
您最近一年使用:0次
2016-12-02更新
|
349次组卷
|
9卷引用:2012届河南省焦作市高三第一次质量检测理科数学试卷
(已下线)2012届河南省焦作市高三第一次质量检测理科数学试卷(已下线)2012届河南省焦作市高三第一次质量检测文科数学试卷2014-2015学年河南省确山县二中高二4月月考文科数学试卷(已下线)2012届黑龙江省哈六中高三第三次模拟考试理科数学试卷(已下线)2012届河北省唐山一中高三第一次高考仿真测试理科数学试卷(已下线)2013届甘肃省河西五市部分普通高中高三第二次(5月)联考理科数学试卷(已下线)2014届云南部分名校(玉溪一中)高三11月月考理科数学试卷2015届宁夏固原市第一中学高三最后冲刺模拟文科数学试卷2016届湖南省长沙市一中高三月考八理科数学试卷