名校
1 . 设集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ecfa5aeaf5388f8780b0f960d330ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-08-23更新
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1180次组卷
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7卷引用:2019年10月江西省高三第一次大联考数学(文)试题
真题
2 . 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)
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2019-01-30更新
|
3923次组卷
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12卷引用: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
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3 . 在平面直角坐标系中,将曲线
上的每一个点的横坐标保持不变,纵坐标缩短为原来的
,得到曲线
,以坐标原点
为极点,
轴的正半轴为极轴,建立极坐标系,
的极坐标方程为
.
(1)求曲线
的参数方程;
(2)过原点
且关于
轴对称的两条直线
与
分别交曲线
于
和
,且点
在第一象限,当四边形
周长最大时,求直线
的普通方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e478787ebfeb68a5a7594dbd9eecd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f90eb172dbd2ff7ae6f705801c0737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
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2017-04-15更新
|
1238次组卷
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7卷引用:江西省南昌市四校联盟2019-2020学年高三第二次联考数学(文)试题
4 . 选修4-1:几何证明选讲
如图,过圆
外一点
作一条直线与圆
交
两点,且
,作直线
与圆
相切于点
,连接
交
与点
,已知圆
的半径为2,
.
![](https://img.xkw.com/dksih/QBM/2016/10/31/1573102947753984/1573102953791488/STEM/265bd159d0374fecac19a6bd9be20eaa.png)
(1)求
的长;
(2)求证:
.
如图,过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e6f98369bdaa02ee8e8685f8f23d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e390480dce825d6302a5223cd073d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.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/49b50357a6545cae8348e3059312f520.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a3b32f1db027d67ed28e5b2113e79d.png)
![](https://img.xkw.com/dksih/QBM/2016/10/31/1573102947753984/1573102953791488/STEM/265bd159d0374fecac19a6bd9be20eaa.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d315eff37c1bdf5be90b6015b08bdea.png)
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5 . 选修4-1:几何证明选讲
如图所示,已知
为
的
边上一点,
经过点
,交
于另一点
,
经过点
,交
于另一点
与
交于点
.
![](https://img.xkw.com/dksih/QBM/2016/10/31/1573102650408960/1573102656995328/STEM/5a8f26291fdd46fbab413416b92528b9.png)
(1)求证:
;
(2)若
的半径为5,圆心
到直线
的距离为3,
切
于点
,求线段
的长.
如图所示,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6a2c03b88b9ac5d5641e30f64a462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.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/8f8ef224337c60baeb1327f4f1973a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8065440f9e61ca5331e85cd9a5d8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8ef224337c60baeb1327f4f1973a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/2016/10/31/1573102650408960/1573102656995328/STEM/5a8f26291fdd46fbab413416b92528b9.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a4965e97e3994ac9702a73e1b2b3df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8ef224337c60baeb1327f4f1973a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da1da462918dd5eb035ae3efab21a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8ef224337c60baeb1327f4f1973a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
您最近一年使用:0次
名校
6 . 如图,直线PQ与⊙O相切于点A,AB是⊙O的弦,∠PAB的平分线AC交⊙O于点C,连结CB,并延长与直线PQ相交于点Q,若AQ=6,AC=5.
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572607145648128/1572607151489024/STEM/0359539e1f0c4416859950790998664e.png)
(Ⅰ)求证:QC2﹣QA2=BC
QC;
(Ⅱ)求弦AB的长.
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572607145648128/1572607151489024/STEM/0359539e1f0c4416859950790998664e.png)
(Ⅰ)求证:QC2﹣QA2=BC
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b18d78c40ce368f60208949c5ae3fb.png)
(Ⅱ)求弦AB的长.
您最近一年使用:0次
2016-12-04更新
|
507次组卷
|
3卷引用:2016届江西省上高二中高三第七次月考文科数学试卷
7 . 如图所示,
为
的直径,
为
的中点,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572606939684864/1572606946131968/STEM/0f36bdb6092143fdbd45e998e383d0df.png)
(1)求证:
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572606939684864/1572606946131968/STEM/a574bb09e86c4f8595213823afe10cd7.png)
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572606939684864/1572606946131968/STEM/f857367adba94f559aa6c6a3f7d5b434.png)
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572606939684864/1572606946131968/STEM/0f36bdb6092143fdbd45e998e383d0df.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572606939684864/1572606946131968/STEM/7b97f5a3ed28437fa31c23ff15ad4d14.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572606939684864/1572606946131968/STEM/3b32ae06b8ad4a0dbe3dd7e6bee001ab.png)
您最近一年使用:0次
8 . 如图,AB是⊙O的直径,AC是⊙O的切线,BC交⊙O于点E.
![](https://img.xkw.com/dksih/QBM/2016/4/19/1572597104369664/1572597110833152/STEM/3c3d5f0111da442e863aae870e774ef1.png)
(Ⅰ)若D为AC的中点,证明:DE是⊙O的切线;
(Ⅱ)若OA=
CE,求∠ACB的大小.
![](https://img.xkw.com/dksih/QBM/2016/4/19/1572597104369664/1572597110833152/STEM/3c3d5f0111da442e863aae870e774ef1.png)
(Ⅰ)若D为AC的中点,证明:DE是⊙O的切线;
(Ⅱ)若OA=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
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9 . 自圆
外一点
引圆
的两条割线
和
,如图所示,其中割线
过圆心
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/ef6942b7-ec55-4a78-a65b-b14c8084a08d.png?resizew=208)
(1)求
的大小;
(2)分别求线段
和
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54d87077425ae6016e8a7cc7293c91fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/ef6942b7-ec55-4a78-a65b-b14c8084a08d.png?resizew=208)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
(2)分别求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
您最近一年使用:0次
2016-12-03更新
|
304次组卷
|
2卷引用:2016届江西省名校学术联盟高三第一次调研一理科数学试卷
10 . 选修4-1:几何证明选讲
如图,BA是⊙O的直径,AD⊥AB,点F是线段AD上异于A、D的一点,且BD、BF与⊙O分别交于点C、E.求证:
.
如图,BA是⊙O的直径,AD⊥AB,点F是线段AD上异于A、D的一点,且BD、BF与⊙O分别交于点C、E.求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6edea9bd1da87ebee1c97e789fee9c6.png)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572133714591744/1572133720875008/STEM/6b6d00a82b374cef9c551e388fc6b2ab.png)
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