1 . 已知点
为定圆
上的动点,点
为圆
所在平面上的定点,线段
的中垂线交直线
于点
,则点
的轨迹可能是( )
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.一个点 | B.直线 | C.椭圆 | D.双曲线 |
您最近一年使用:0次
名校
解题方法
2 . 已知椭圆
的左、右焦点分别为
,
,半焦距为
.在椭圆上存在点
使得
,则椭圆离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51813c88b496286bdc3bf07a5441be0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-09更新
|
1456次组卷
|
8卷引用:湖南省邵阳市2023届高三下学期二模数学试题
名校
解题方法
3 . 已知双曲线
的右顶点为
,左焦点
到其渐近线
的距离为2,斜率为
的直线
交双曲线
于A,B两点,且
.
(1)求双曲线
的方程;
(2)过点
的直线
与双曲线
交于P,Q两点,直线
,
分别与直线
相交于
,
两点,试问:以线段
为直径的圆是否过定点?若过定点,求出定点的坐标;若不过定点,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f293c87bfe6e4e6a08fdc1f0eb2e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0944c99f34ee41bea845303ed15a7d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4769228ab5c2538da39d7490e11070c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15677a5ee41c77919ebf114b646ec88c.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58e4369639e4d3fcdd50e0e5983bf0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2023-03-09更新
|
1822次组卷
|
6卷引用:湖南省邵阳市2023届高三下学期二模数学试题
名校
解题方法
4 . 在正方体
中,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93e2514b9b90cde1371183a64edb395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e050099466dd59aaf0215500d48b33b.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
2023-03-09更新
|
764次组卷
|
5卷引用:湖南省邵阳市2023届高三下学期二模数学试题
名校
解题方法
5 . 如图所示,在矩形
中,
,
,
平面
,且
,点
为线段
(除端点外)上的动点,沿直线
将
翻折到
,则下列说法中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/02d63042-7149-4458-bdf6-3a571def8e95.png?resizew=172)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a22d6b860f06fe23618b0d3de6768fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae341f580ff8fbf21f616fe900b0e4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f9c64303370347131dd9d8c5c70c01.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/02d63042-7149-4458-bdf6-3a571def8e95.png?resizew=172)
A.当点![]() ![]() ![]() |
B.存在点![]() ![]() ![]() |
C.点![]() ![]() ![]() |
D.异面直线![]() ![]() ![]() |
您最近一年使用:0次
2023-03-09更新
|
778次组卷
|
5卷引用:湖南省邵阳市2023届高三下学期二模数学试题
湖南省邵阳市2023届高三下学期二模数学试题专题14空间向量与立体几何(单选填空题)广东省汕头市潮阳区七校联合体2023届高三下学期第三次联考数学试题(已下线)第三章 折叠、旋转与展开 专题一 平面图形的翻折、旋转 微点3 翻折、旋转中的基本问题(三)江苏省盱眙中学2023-2024学年高二下学期第一次学情调研数学试题
解题方法
6 . 如图所示,在四棱锥
中,底面
是等腰梯形,
,
.平面
平面
,
为
的中点,
,
,E,F,G分别为
,
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/ff080908-7d00-4105-8ba9-b6712ca386f9.png?resizew=205)
(1)求证:平面
平面
;
(2)求平面
与平面
所成锐二面角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641aa755ada1d83daafc82d5f1fa88db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb932aec547ff2f8ede3e7c1fa9f0b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b9f123cfacbfe6e5504111fbfd174c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/ff080908-7d00-4105-8ba9-b6712ca386f9.png?resizew=205)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f36764d9464a7d5d47ac0cf1841d287.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2023-03-09更新
|
931次组卷
|
4卷引用:湖南省邵阳市2023届高三下学期二模数学试题
湖南省邵阳市2023届高三下学期二模数学试题2023年普通高等学校招生统一考试数学模拟预测试题(一)专题16空间向量与立体几何(解答题)(已下线)广东实验中学2024届高三上学期第一次阶段考试数学试题变式题15-18
名校
解题方法
7 . 已知集合
,
.若“
”是“
”的充分不必要条件,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7799ad81228a6bd7bf93dc087f741e3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f131b91d756e6435b7588586e5933d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-09更新
|
826次组卷
|
5卷引用:湖南省邵阳市2023届高三下学期二模数学试题
湖南省邵阳市2023届高三下学期二模数学试题(已下线)专题01 集合与常用逻辑用语(已下线)第一章 集合与常用逻辑用语(2)-高一数学同步精品课堂(人教B版2019必修第一册)新疆霍城县江苏中学2024届高三上学期开学摸底考试数学试题(已下线)FHsx1225yl139
8 . 已知曲线
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023b9b8182136ac181ea2b72bb5bd830.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
解题方法
9 . 在平面直角坐标系中,动点
到定点
的距离比到
轴的距离大1.
(1)求动点
的轨迹
的方程;
(2)过点
的直线
交曲线
于
两点,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7df8e1a5a4e176bb2ebb8a7443b8ed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25e326fdf9e5456f48e8a99a069f379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ed9d97b8745ed1c15349ea3fffc299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
10 . 命题“
”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3694bea72aefffcd53f8ef48d6c137d1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次