名校
1 . 已知正方体
的棱长为2,点E、F分别是棱
、
的中点,点P在四边形
内(包含边界)运动,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.若P是线段![]() ![]() ![]() |
B.若P在线段![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2 . 如图,已知点
,直线
:
,
为平面上的动点,过点
作
的垂线,垂足为点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/18ec3fae-c086-4b29-8981-52939b561785.png?resizew=204)
(1)求动点
的轨迹
的方程;
(2)过轨迹
的准线与
轴的交点
作方向向量为
的直线
与轨迹
交于不同两点
、
,问是否存在实数
使得
?若存在,求出
的范围;若不存在,请说明理由;
(3)在问题(2)中,设线段
的垂直平分线与
轴的交点为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c32b7dd01131016c9f4feb1f96a482a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cc849237e68f0029a1baa5f7ea4ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/18ec3fae-c086-4b29-8981-52939b561785.png?resizew=204)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdae78f202e6bf170d21e4393e85b911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7093538ecfb10a639b23863e7331a66d.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a601bb181415cf349821d76fc63668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在问题(2)中,设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483f57f6d51feaf38dc0d680cc3ec8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
您最近一年使用:0次
2023-03-08更新
|
232次组卷
|
3卷引用:上海市市西中学2022届高三上学期12月月考数学试题
上海市市西中学2022届高三上学期12月月考数学试题上海奉贤区致远高级中学2022-2023学年高二下学期第二次月考(5月)数学试题(已下线)2.5 曲线与方程(五大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
名校
3 . 正方体
的棱长为1,点P在正方体内部及表面上运动,下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.若点P在线段![]() ![]() ![]() |
B.若点P在矩形![]() ![]() ![]() |
C.若点P在![]() ![]() |
D.若点P满足![]() ![]() |
您最近一年使用:0次
2022-07-05更新
|
1109次组卷
|
4卷引用:四川省达州市2021-2022学年高二下学期期末数学理科试题
四川省达州市2021-2022学年高二下学期期末数学理科试题(已下线)专题22 立体几何中的轨迹问题-1(已下线)第02讲 空间点、直线、平面之间的位置关系 (练)上海市控江中学2022-2023学年高二上学期期中数学试题
名校
4 . 动圆
与圆
相外切且与
轴相切,则动圆
的圆心的轨迹记
,
(1)求轨迹
的方程;
(2)定点
到轨迹(1)
上任意一点的距离
的最小值;
(3)经过定点
的直线
,试分析直线
与轨迹
的公共点个数,并指明相应的直线
的斜率
是否存在,若存在求
的取值或取值范围情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6316e0e6da742e9b035d8f2cc91a4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b1f4120365cb6ee4925fe417563f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a203d0478f8390fa2b346500ccb2b63.png)
(3)经过定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1657d4cc1ba84a620ac9f0336a99df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
5 . 已知
,
,其中
,
,且函数
在
处取得最大值.
(1)求
的最小值,并求出此时函数
的解析式和最小正周期;
(2)在(1)的条件下,先将
的图像上的所有点向右平移
个单位,再把所得图像上所有点的横坐标伸长为原来的2倍(纵坐标不变),然后将所得图像上所有的点向下平移
个单位,得到函数
的图像.若在区间
上,方程
有两个不相等的实数根,求实数a的取值范围;
(3)在(1)的条件下,已知点P是函数
图像上的任意一点,点Q为函数
图像上的一点,点
,且满足
,求
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5315b8f0ce7820c865bcd53b5227576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88dc8fe8834fd3e3fad272a042fc4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84627fa0b991f9a290727270a4d32aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720091d877ca5e2837b0f410fb99631d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)在(1)的条件下,先将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6e69ad1a27916fb5c3d5901ded134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2adf58ee9fe27c07d5a863be48b62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b3a7dd6b25a668ef1fbd2bb0be60dd.png)
(3)在(1)的条件下,已知点P是函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3d641761af730cc20b05a79fad66f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0762040da3c416619d44a51c6c99ab9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd5973a979d2a822b829334cbb253b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da89d1db781544a974035e6a7259891.png)
您最近一年使用:0次