1 . 已知命题
:
恒成立,命题
与圆:
有公共点,则
是
的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294560c0b5f2e32ca94fe6b407016426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e8e2d89044842891b67ad7d6408f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259e9a874ba8a4fbc027e01699a81d8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.必要不充分条件 | B.充分不必要条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2019-01-30更新
|
389次组卷
|
2卷引用:【市级联考】广东省清远市2019届高三第一学期期末教学质量检测文科数学试题
2 . 选修4-1:几何证明选讲
如图,四边形ABDC内接于圆,
,过C点的圆的切线与AB的延长线交于E点.
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572019155705856/1572019161088000/STEM/58df869448564c3ebb97f228aeab6c79.png)
(1)求证:
;
(2)若
,
,
,求AB的长.
如图,四边形ABDC内接于圆,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532aece6cfd67e2a97977eed978dbf2b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572019155705856/1572019161088000/STEM/58df869448564c3ebb97f228aeab6c79.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1c1bf079565c0b845dfb7fc3639327.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d566e7cf2d42fed17e93a15e4ce1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226c231c1150e27c34eb787a46b02ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
您最近一年使用:0次
2019-01-30更新
|
329次组卷
|
2卷引用:2015届河北唐山市高三上学期期末考试理科数学试卷
真题
3 . 选修4—1:几何证明选讲 如图,直线AB为圆的切线,切点为B,点C在圆上,∠ABC的角平分线BE交圆于点E,DB垂直BE交圆于D.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/5365865e-1cc9-47a2-9e47-f3464ca9a3c5.png?resizew=160)
(Ⅰ)证明:DB=DC;
(Ⅱ)设圆的半径为1,BC=
,延长CE交AB于点F,求△BCF外接圆的半径.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/5365865e-1cc9-47a2-9e47-f3464ca9a3c5.png?resizew=160)
(Ⅰ)证明:DB=DC;
(Ⅱ)设圆的半径为1,BC=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
2019-01-30更新
|
3921次组卷
|
12卷引用:2013年全国普通高等学校招生统一考试理科数学(新课标1卷)
2013年全国普通高等学校招生统一考试理科数学(新课标1卷)2013年全国普通高等学校招生统一考试文科数学(新课标1卷)(已下线)2014年高考数学文二轮专题复习与测试选修4-1几何证明选讲练习卷(已下线)2014届甘肃省兰州一中高考模拟一理科数学试卷(已下线)2014届甘肃省兰州一中高考模拟一文科数学试卷2015届黑龙江省哈尔滨六中高三上学期期末考试理科数学试卷2015届江西省吉安市第一中学高三上学期第二次阶段考试文科数学试卷2015届陕西省西安长安区一中高三上学期第三次质检理科数学卷2015届陕西省西安长安区一中高三上学期第三次质检文科数学卷2016届甘肃省会宁县一中高三上第四次月考理科数学试卷2016届湖北省宜昌市一中高三上学期12月月考数学试卷河北省武邑中学2017届高三下学期第一次质检考试数学(文)试题
4 . 在
中,N是边AC上一点,且
,AB与
的外接圆相切,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b50f83fd73b99fc0e0c61d80346e3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa020cb9948ac34d16b37386f05ff36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f3cd6a673d7e238ebb769839b6317a9.png)
您最近一年使用:0次
2018-03-07更新
|
148次组卷
|
2卷引用:江苏省常州2018届高三上学期期末数学(理)
5 . 选修4-1:几何证明选讲
如图,四边形
是圆的内接四边形,
,
的延长线交
的延长线于点
,延长
至
.
![](https://img.xkw.com/dksih/QBM/2018/2/14/1882210632376320/1883747638566912/STEM/033d32113fbf4eceb2ac6337e8934abc.png?resizew=292)
求证:
是
的角平分线.
如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb67f27bcda7681b19239a199b4c4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.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/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2018/2/14/1882210632376320/1883747638566912/STEM/033d32113fbf4eceb2ac6337e8934abc.png?resizew=292)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36ff76f9f1ee12db562cde7a58b8c3.png)
您最近一年使用:0次
名校
6 . 选修4-1:几何证明选讲
已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110d9c6d1908a3a8d188f2b91c1d0070.png)
外接圆劣弧
上的点(不与点
、
重合),延长
至
, 延长
交
的延长线于
.
![](https://img.xkw.com/dksih/QBM/2018/1/17/1862245053358080/1868569482780672/STEM/2d56fb4217b447bbafff448cca50a81e.png?resizew=156)
(Ⅰ)求证:
;
(Ⅱ)求证:
.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110d9c6d1908a3a8d188f2b91c1d0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e2c719caf927d253ad88a829948039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/2a30f3a8b673cc28bd90c50cf1a35281.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2018/1/17/1862245053358080/1868569482780672/STEM/2d56fb4217b447bbafff448cca50a81e.png?resizew=156)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4748010af2b117057264c79b90fb203a.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06561de2ef3074de18a272915a6d303d.png)
您最近一年使用:0次
7 . 如图,已知
为⊙
的直径,直线
与⊙
相切于点
,
垂直
于点
. 若
,求切点
到直径
的距离
.
![](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/e6e490f703eb6c9bb1278c78ebc2d661.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a19338598965bb3856cdd0236bbf694.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/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次
2018-01-18更新
|
172次组卷
|
2卷引用:南京市、盐城市2018届高三年级第一次模拟考试数学(理)试题
8 . 选修4-1:几何证明选讲
选修
:几何证明选讲
如图,
为
上的三个点,
是
的平分线,交
于点
,过
作
的切线交
的延长线于点
.
(Ⅰ)证明:
平分
;
(Ⅱ)证明:
.
选修
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb420ded9d68ae6486ae8c617a3636d.png)
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7095a91b7486c5299db97f9eacb7494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7095a91b7486c5299db97f9eacb7494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7095a91b7486c5299db97f9eacb7494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cd9d0d73549e2944578f3513631ce5.png)
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3432942a9079e1554cb5d236050b102e.png)
![](https://img.xkw.com/dksih/QBM/2017/7/8/1732926196006912/1790246060294144/STEM/90e766aa544b4d36b9dc2506bbc30438.png?resizew=124)
您最近一年使用:0次
2017-10-08更新
|
114次组卷
|
2卷引用:福建省2016届高三基地校总复习综合卷数学试题(厦门双十、南安一中、厦门海沧实验中学文科)
9 . 选修4-1:几何证明选讲
如图,
是半径为
的
上的点,
在点
处的切线交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/11/30/1573189629657088/1573189636128768/STEM/9210382d14fc4fe4964f02896a7c71e2.png)
(1)求证:
;
(2)若
为
的直径,求
的长.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4325d2ed3b44f94e5d5fc98af1aee4fe.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/11/30/1573189629657088/1573189636128768/STEM/9210382d14fc4fe4964f02896a7c71e2.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e23a92f912a48c8750b6c9e6af86ff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2016-12-05更新
|
149次组卷
|
2卷引用:2016届福建福州市高三上学期期末数学(理)试卷
10 . 如图,
是直角,圆
与射线
相切于点
,与射线
相交于两点
.求证:
平分
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818c41863d1522fc25a8d9a6b1b9e7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bf58e5fea1189b33cf55d86335452f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeb77f5d7427645b99c463705922943.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572473424314368/1572473430130688/STEM/7159b403d7dd4ecf83958664860427a9.png)
您最近一年使用:0次