1 . 已知点
,圆
.
(1)若直线
过点
且到圆心
的距离为
,求直线
的方程;
(2)设过点
的直线
与圆
交于
、
两点(
的斜率为负),当
时,求以线段
为直径的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb37f3d473c9643b90e8cc19eb0fc6c.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203b64e2a9e4ac8bdfb1b541597f7119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a10549809c4a8c4517dc01a71e2693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2020-05-03更新
|
912次组卷
|
3卷引用:江西省宜春市上高县第二中学2019-2020学年高二(6月)第二次月考数学(理)试题
名校
2 . 已知圆锥的侧面展开图是一个半径为4,面积为
的扇形,则该圆锥的高为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9609625b502348556ff8ba32deac8caa.png)
您最近一年使用:0次
2020-05-01更新
|
706次组卷
|
5卷引用:江西省宁冈中学2020-2021学年高二上学期第一次段考数学(理)试题
解题方法
3 . 已知三棱锥
中,
,
,则该三棱锥的外接球的表面积是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a31523cd35ebc290365cde9b02d127e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292d0b9ce587bd5df884a988c22ccba2.png)
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解题方法
4 . 如图是正方体截去一个四棱锥后的得到的几何体的三视图,则该几何体的体积是
![](https://img.xkw.com/dksih/QBM/2020/4/26/2450034570797056/2450526072733696/STEM/c451b32f4467417ebe0f13f2d8dbfca1.png?resizew=185)
![](https://img.xkw.com/dksih/QBM/2020/4/26/2450034570797056/2450526072733696/STEM/c451b32f4467417ebe0f13f2d8dbfca1.png?resizew=185)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 如图,正方体
的棱长为
,点
、
为棱
、
的中点.
![](https://img.xkw.com/dksih/QBM/2020/4/26/2449798289408000/2450436423729152/STEM/69b52571e55c412dad4f29de4666e242.png?resizew=220)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e19d1a7e89beddaf468bdce5e31550e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e737bc35da650eda3825d29799b5f86f.png)
![](https://img.xkw.com/dksih/QBM/2020/4/26/2449798289408000/2450436423729152/STEM/69b52571e55c412dad4f29de4666e242.png?resizew=220)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f70cf3f6c7acbf60d4a4ca0ce89619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe02a25afc35da213ba4aee378a308b.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4171e7f713d6b265d56b2662b7af57b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4734735213b599a9915e1ed91a5d8ce4.png)
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名校
解题方法
6 . 如图,
内接于圆O,AB是圆O的直径,四边形DCBE为平行四边形,
平面ABC,
,
.
![](https://img.xkw.com/dksih/QBM/2020/4/16/2442950364659712/2443565974626304/STEM/6c67e8ca108e4665b0881049af041405.png?resizew=117)
(1)求证:
平面ACD;
(2)设
,
表示三棱锥B-ACE的体积,求函数
的解析式及最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689c065652544780be8b33ae92cbb6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12323eb1e7bdc938d22c4604142cab84.png)
![](https://img.xkw.com/dksih/QBM/2020/4/16/2442950364659712/2443565974626304/STEM/6c67e8ca108e4665b0881049af041405.png?resizew=117)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bfc0387785bf3c60f75ed3d34cc98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e766305fcae007508b086d27cf73bd5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e766305fcae007508b086d27cf73bd5d.png)
您最近一年使用:0次
2020-04-17更新
|
366次组卷
|
2卷引用:2020届江西省南昌市江西师范大学附属中学高三第一次模拟测试卷理科数学
名校
解题方法
7 . 如图,在直三棱柱
中,
,
为
的中点,
、
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/39f3e400-11ad-485b-b717-1182e65e283a.png?resizew=148)
(1)证明:
面
;
(2)若
,
,
,求点
到平面
的距离,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f717a8bfc2194652248b2aaf032411b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/39f3e400-11ad-485b-b717-1182e65e283a.png?resizew=148)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b7903de4be7d5dc1175cfbf6e8da9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5890b3a4edc89b1de25cd07b17fa12fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1192b3111a6dad01bba5227472bb4072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5181b97a7e43959b8455680157c3b644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
您最近一年使用:0次
2020-04-15更新
|
436次组卷
|
2卷引用:2020届陕西省宝鸡市高三高考模拟检测(二)数学(文科)试题
8 . 如图,在三棱柱
中,侧面
是菱形,
,
是棱
的中点,
,
在线段
上,且
.
![](https://img.xkw.com/dksih/QBM/2020/3/27/2428136999288832/2428831724412928/STEM/7648d1bf-2ce4-4a60-9b56-6fee5f797583.png)
证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd4c85bb98a2a0afddd7ed92578ad2e.png)
面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8035fc825a001d7d9a3dacd8271662.png)
若
,面
面
,求
到面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac4fb99967c46a3855bcf2885b448c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fc4fbd9390e2a5200920910abc63b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59da0269add3993c134f46169f213907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86814dbae9a5343d69bb4647900b3bfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2221fe3118d6d55a78201f1c5296777c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3bd9abb95b0e96333873fc454e03a7.png)
![](https://img.xkw.com/dksih/QBM/2020/3/27/2428136999288832/2428831724412928/STEM/7648d1bf-2ce4-4a60-9b56-6fee5f797583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd4c85bb98a2a0afddd7ed92578ad2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8035fc825a001d7d9a3dacd8271662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45224f7eac9d0cef64bf28d93e7721a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2013579652aa5f53d43080856f01c374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fc4fbd9390e2a5200920910abc63b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445cfd832967db6bbaa0a2ea311b4f0d.png)
您最近一年使用:0次
2020-03-27更新
|
993次组卷
|
2卷引用:广东省肇庆市2019届高三下学期第三次统测数学(文)试题
名校
9 . 已知点
、
,点
关于
轴对称的点为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd0158980b9fd5ccd743cae12c6ce2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58d82c89a162672b46680d2ab12f0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990b2cbabb3c004dbbfb0eb6724f6ac1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-25更新
|
606次组卷
|
8卷引用:江西省赣州市会昌县第五中学2020-2021学年高二上学期第一次月考数学(理)试题
名校
解题方法
10 . 水平放置的
,用斜二测画法作出的直观图是如图所示的
,其中
,则
绕AB所在直线旋转一周后形成的几何体的表面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/d527a919-1eca-44d1-96f6-18739dee82f1.png?resizew=204)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff27ded7fa92850d2f8f3208d83e6ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca66b372006785ad782f01b90eb0b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/d527a919-1eca-44d1-96f6-18739dee82f1.png?resizew=204)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-24更新
|
1827次组卷
|
17卷引用:江西省赣州市会昌县第五中学2020-2021学年高二上学期第一次月考数学(文)试题
江西省赣州市会昌县第五中学2020-2021学年高二上学期第一次月考数学(文)试题四川省成都市龙泉一中、新都一中等九校2016-2017学年高一6月联考数学(理)试题四川省成都市龙泉一中、新都一中等九校2016-2017学年高一6月联考数学(文)试题安徽省六安市第一中学2018届高三上学期第五次月考数学(文)试题【全国百强校】安徽省黄山市屯溪第一中学2018-2019学年高二上学期期中考试数学(理)试题安徽省池州市贵池区2019-2020学年高二上学期期中教学质量检测数学(理)试题安徽省池州市贵池区2019-2020学年高二上学期期中教学质量检测数学(文)试题2019届广东省珠海市高三二模数学(理)试题重庆市杨家坪中学2020-2021学年高一下学期第一次月考数学试题(已下线)专题09 空间几何体表面积与体积的计算-2022年高考数学毕业班二轮热点题型归纳与变式演练(新高考专用)江苏省无锡市市北高级中学2021-2022学年高一下学期第一次月考数学试题浙江省温州市2021-2022学年高一下学期期末模拟数学试题(A卷)新疆生产建设兵团第二中学2021-2022学年高一下学期期中考试数学试题广东省四校(珠海市实验中学、东莞市第六高级中学、河源高级中学、中山市实验中学)2023届高三上学期第二次联考数学试题(已下线)第八章 立体几何初步 讲核心 012023版 湘教版(2019) 必修第二册 过关斩将 全册综合测评(已下线)8.2立体图形的直观图【第三课】“上好三节课,做好三套题“高中数学素养晋级之路