名校
解题方法
1 . 在棱长为2的正方体
中,
在线段
上运动,直线
与平面
所成角的正弦值的取值范围为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42b618e1cd0f3a7c27816d86fbe3907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
您最近一年使用:0次
解题方法
2 . 已知动圆过定点
,且在
轴上截得的弦
的长为
.
(1)求动圆圆心的轨迹
的方程;
(2)过轨迹
上一个定点
引它的两条弦
,
,若直线
,
的斜率存在,且直线
的斜率为
证明:直线
,
的倾斜角互补.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fd33efcd65204756e406f09afc1d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
(1)求动圆圆心的轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0f3f09c8548df28f59e124a795fd6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6c23a3e22159ba8cf83c6c96e307fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d134204485637cd6bda21c8853df3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6c23a3e22159ba8cf83c6c96e307fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d134204485637cd6bda21c8853df3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4bab74b21722ce5f1d44a6e1de32b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba4e967df6e7bcff0f9f9843ffed15e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6c23a3e22159ba8cf83c6c96e307fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d134204485637cd6bda21c8853df3c.png)
您最近一年使用:0次
2024-04-05更新
|
998次组卷
|
2卷引用:江西省九江市六校2023-2024学年高二上学期期末联考数学试题
名校
3 . 若平面
外的直线
的方向向量为
,平面
的法向量为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d09dd7ad583bce7523952f10580009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b150d42f3c6324cdbb22582df50d6b.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
您最近一年使用:0次
2024-04-02更新
|
440次组卷
|
3卷引用:江西省九江市六校2023-2024学年高二上学期期末联考数学试题
解题方法
4 . “函数
在区间
上单调递增”的充要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7a487ef6bcc9bf166e14bb7d8fc0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 如图,一张圆形纸片的圆心为点E,F是圆内的一个定点,P是圆E上任意一点,把纸片折叠使得点F与P重合,折痕与直线PE相交于点Q,当点P在圆上运动时,得到点Q的轨迹,记为曲线C.建立适当坐标系,点
,纸片圆方程为
,点
在C上.
(1)求C的方程;
(2)若点
坐标为
,过F且不与x轴重合的直线交C于A,B两点,设直线
,
与C的另一个交点分别为M,N,记直线
的倾斜角分别为
,
,当
取得最大值时,求直线AB的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af7bd627ccc53e8a667f9f42b18fb21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f134c358bb5b5fa06c935a47c4ebf10.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/8fdf1126-62b3-4ba7-b199-700653bd70fc.png?resizew=161)
(1)求C的方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e55590555905eb4f57889bbd16e39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0a19415e796564f30906f2e7dbf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a60bbddc1f1e13ff48801917c503ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d167ea739a6f6ea88e90f13dc5f1412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
您最近一年使用:0次
6 . 抛物线
的准线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab25e4f4acfb0934bf0125577bbdc90.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知椭圆
的左、右焦点分别为
和
,点
在椭圆上且在
轴的上方
若线段
的中点
在以原点
为圆心,
为半径的圆上,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb4717d7fa6d522090c5e949f650bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e55590555905eb4f57889bbd16e39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e1d0f65817ba32a732040518f41440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8b3616d8d33f54ddac1c485a95a7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ca2c6b692d86f0b2abc4b9ab32ba31.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 如图
,在
中,
,
于
现将
沿
折叠,使
为直二面角
如图
,
是棱
的中点,连接
、
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/5cd64df1-3cc4-45b4-838b-0c01a40232f2.png?resizew=331)
(1)证明:平面
平面
;
(2)若
,且棱
上有一点
满足
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f4fac08d887c080386bf939bfdb4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470cb205a244f5a455d623e2dd72d622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13af15dbf4a5abd508e8752bf3fd1b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f9ad0f53f3813d148f16e532991021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f4fac08d887c080386bf939bfdb4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3701f73add38ffeb06fb42fef55fd533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad217e26bd3580c35998109de14cef73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95226c64f0afdaa10b95ec097a0720ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a043206e1d0f1fc31e4edcb773746941.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/5cd64df1-3cc4-45b4-838b-0c01a40232f2.png?resizew=331)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8704811c9c5dba854310ae0de2ba6b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cfd630472bc73bd8c2209376dbe9d1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.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/bd270aed68cec28a22dff1cf891d8f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c2bb8c4f212a03496a8661deb2eb53.png)
您最近一年使用:0次
名校
9 . 如图,在平行六面体
中,
,
,
,
,点
为
中点.
平面
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead0e8eadfdcefa334953e88864f424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b377f22aafd3742ad860f77abaacef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7be9e552514a07e7f745666cb5b76b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b24a6fd9b4574e7808eafc57f8496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22391e2f16997bb4b99041f8543b2ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104bf24922707215be95a860cd533940.png)
您最近一年使用:0次
2024-03-12更新
|
2923次组卷
|
9卷引用:江西省宜春市丰城市第九中学2024届高三上学期期末考试数学试题
江西省宜春市丰城市第九中学2024届高三上学期期末考试数学试题辽宁省沈阳市五校联考2024届高三上学期期末数学试题(已下线)每日一题 第16题 不易建系 先证垂直(高三)(已下线)【一题多解】立体几何 新旧呼应湖南省长沙市雅礼中学2024届高三一模数学试卷江苏省常州市第一中学2024届高三下学期期初检测数学试题(已下线)专题04 立体几何辽宁省辽东十一所重点高中联合教研体2024届高三下学期高考适应性考试(一)数学试题(已下线)湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题11-15
10 . “
”是“方程
表示的曲线为椭圆”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54323f3dc8905f56acf5da29b6847b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb8e84574016c96442fe82369d2e62c.png)
A.充分不必要条件 | B.必要不充分条件 |
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
2024-03-12更新
|
842次组卷
|
3卷引用:江西省宜春市丰城市第九中学日新班2023-2024学年高二21、22班上学期期末考试数学试题
江西省宜春市丰城市第九中学日新班2023-2024学年高二21、22班上学期期末考试数学试题(已下线)专题06集合与常用逻辑用语、不等式期末6种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019)广东省2024届高三数学新改革适应性训练七(九省联考题型)