1 . 在直角坐标系
中,圆C的方程为
,以
为极点,
轴的非负半轴为极轴建立极坐标系.
(1)求圆C的极坐标方程;
(2)直线
的极坐标方程是
,射 线
与圆C的交点为
,与直线
的交点为
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b63af296fafc50c28e75e34bee1f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求圆C的极坐标方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35bb33cd5c1c8d9215bf3c7e1d54af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6965aa31edc12aa52c789509f134c9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db36b4497b911bc047253b832ae01c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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2019-09-15更新
|
466次组卷
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5卷引用:山西省应县第一中学校2018-2019学年高二下学期期末考试数学(理)试题
2 . 如图,在四棱锥
中,
平面
,底面
是菱形,
,
,
,
分别是棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/2c3ae9c9-ad07-48d8-b6a2-648bae048570.png?resizew=208)
(1)证明:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb8fb552b9e21dbaba74d11aa747790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6184f3b929dda3c1b3b35b9aec448118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47891397990336f55f96bd66d367758b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/2c3ae9c9-ad07-48d8-b6a2-648bae048570.png?resizew=208)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053af8641980763a7f0e77beefe0712d.png)
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名校
3 .
的内角
的对边分别为
,已知
.
(1)求
;
(2)若
,且
,
是
上的点,
平分
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b5233efc572c4a07371de14b340761.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc7563043c2607606e37b80e14b5426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6129fbf40a950fc8c516f0abaab21957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/7ac451db3443cabb204f96c31fd4a02e.png)
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2019-08-02更新
|
1331次组卷
|
3卷引用:云南省昆明市2018-2019学年高二下学期期末考试数学(理)试题
4 . 在平面直角坐标系中,曲线
坐标轴的交点都在圆C上,
(1)求圆C的方程;
(2)如果圆C与直线
交于A,B两点,且
,求
的值.
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/f4e5a37baf094cbdb6b494123957b6f6.png)
(1)求圆C的方程;
(2)如果圆C与直线
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/32aeb8cfa20c4c9bb4659eebdf3f5ba3.png)
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/b89e2ca6cdf04e73b0212992e49707be.png)
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/01e92a2909d54312a9d555400e76a8e9.png)
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5 . 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
6 . 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
|
3916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
真题
7 . 如图,圆O的半径为2,AB为圆O的直径,P为AB延长线上一点,过P作圆O的切线,切点为C.若
,求 BC 的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1720da6d65e7fa854d98322d3864240.png)
![](https://img.xkw.com/dksih/QBM/2018/6/10/1964174441160704/1964226082103296/STEM/802ce7143149431db5f9980f3b7a72ad.png?resizew=202)
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8 . 如图,在圆内接四边形
中,
,
,
.
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925091064176640/1927240651849728/STEM/650e0052-8337-4afc-aacd-d76868387aeb.png)
(1)求
的大小;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de006cef9e5efbcbf74229845804650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf7679c8b4b1e442ce4286d4b0e9c32.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925091064176640/1927240651849728/STEM/650e0052-8337-4afc-aacd-d76868387aeb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df6d51738ac1bc8b9530ea4a55745c2.png)
您最近一年使用:0次
2018-04-19更新
|
153次组卷
|
2卷引用:2018年陕西省咸阳市第二次模拟理数试题
9 . 如图,已知
的半径为
,
的半径为
,两圆外切于点
.点
为
上一点,
与
切于点
.若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01ba3f329b712e87ead41125cacd34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d583183429b6b31aa9742eefc67d3181.png)
![](https://img.xkw.com/dksih/QBM/2018/2/22/1887858184478720/1892230558900224/STEM/5e0ca53af3d2480a9698b0e16b278341.png?resizew=227)
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2018-02-28更新
|
158次组卷
|
2卷引用:江苏省南通市、泰州市2018届高三年级第一次调研测试数学(理)试题
10 . 如图所示,在⊙O中,相交于点E的两弦AB,CD的中点分别是M,N,直线MO与直线CD相交于点F.证明
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/26/cdcc2cdf-e541-42c8-bbce-48c05d3a473d.png?resizew=240)
(1)∠MEN+∠NOM=180°;
(2)FE·FN=FM·FO.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/26/cdcc2cdf-e541-42c8-bbce-48c05d3a473d.png?resizew=240)
(1)∠MEN+∠NOM=180°;
(2)FE·FN=FM·FO.
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