名校
解题方法
1 . 已知函数
.
(1)求不等式
的解集.
(2)记
,对
,总
使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2215ece47e22ff5f4ae6fa8f77fe1636.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95c0336f942a96e2506cc1625d89e21.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5039c06803204ece73e2cf670ed697b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668a8197680ae441547b44a44970efb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938e22cc1b0f7277540bdf58683cd155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 已知命题
:函数
的两个零点均在
上,命题
.
(1)若
是真命题,求实数
的取值范围;
(2)若
是
的充分且不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ef123e4ea7beac5ad1227d51c50145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba45d7c71587427ba2874c9bb3a7cf4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-25更新
|
228次组卷
|
2卷引用:江苏省徐州市徐州高级中学2023-2024学年高一上学期期中数学试题
解题方法
3 . 设m为实数,已知F为抛物线
的焦点,
是抛物线上一点,O为坐标原点,且
.
(1)求m的值;
(2)过点F垂直于MF的直线与抛物线相交于A,B两点,求AB的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743c2c23aa7f030af53e91d2cf47869e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd4f93d2e10f4a7992cb28ab243df16.png)
(1)求m的值;
(2)过点F垂直于MF的直线与抛物线相交于A,B两点,求AB的长.
您最近一年使用:0次
名校
4 . 如图,在四棱锥
中,底面
是平行四边形,
平面
,
.
(1)证明:平面
平面
;
(2)已知
,在线段
上是否存在一点
,使得二面角
的平面角为
?若存在,求出
的值,若不存在,请说明理由.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb96fc960caa61e0524eba075f1967a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/80bc04f1-c7a1-4afb-aebd-780a0d69f8db.png?resizew=154)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bbaab95acc533abcd9fff7b7a548fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e026bcf0e93238163ec24e13864126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d675fca424a449157227c54b9e4de75c.png)
您最近一年使用:0次
2023-12-23更新
|
222次组卷
|
4卷引用:专题8.9 空间角与空间距离大题专项训练-举一反三系列
(已下线)专题8.9 空间角与空间距离大题专项训练-举一反三系列湖北省鄂州市第二中学2023-2024学年高二上学期12月月考数学试题湖北省荆州市荆州中学2023-2024学年高二上学期期末考试数学试题(已下线)专题06 用空间向量研究距离、夹角问题10种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)
名校
解题方法
5 . 已知
,集合
,函数
的定义域为
.
(1)若
,求
的取值范围;
(2)若
是
的必要不充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08290af79305df59bc0a1fc2b7c4f7c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea45f50caa9b68052252788e52c63263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8dc741ad6fc6396cb0d59b02ccc7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91719b9fd3cdc9d816949371e343b32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
6 . 已知集合
.
(1)若集合
是集合
的充分条件,求
的取值范围;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7fa83bc8ecc2613f5fa68cb40e880e.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
7 . 如图,在四棱锥
中,底面
是正方形,
底面
,
,点
在棱
上,
平面
.
(1)试确定点
的位置,并说明理由;
(2)求平面
与平面
所成锐二面角的余弦值的取值范围.
![](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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37d3fd7d81e4b177dee8f8e30d93159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c2b786c64e6a9ed2ec5670cde74f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65277734669566578cbb7d690bb200fb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/21/88f47c15-2f81-43bd-ad89-54de0b0226d2.png?resizew=164)
(1)试确定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ca5b5fd1031438de2d2dd59be8c348.png)
您最近一年使用:0次
解题方法
8 . 已知非空集合
,
,设命题
:“
”,命题
:“
”.
(1)若
,求
;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da128334ed4441c8239bd46aaac8c9ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1724c429281c5f7d6fe96370122de3fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-22更新
|
140次组卷
|
2卷引用:河南省青桐鸣2023-2024学年高一上学期12月联考数学试题(北师大版)
名校
9 . 已知集合
,集合
;
(1)若
是
的充分不必要条件,求
的取值范围;
(2)已知
,设
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f26b4edd776ed551f7489e89b736125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b35574931f18b524a3d3fa98f5807c8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495e77c903f2f9ad8bf74fa9706fc60c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78585d9a2cc72fdbd58c077c260b9d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
您最近一年使用:0次
10 . 如图,四棱锥
的底面是矩形,
底面
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/20/7c14cea3-fd94-4c66-b3e0-f8b8eef6a7e4.png?resizew=160)
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
平面
;
(2)证明:
;
(3)求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffddeafce03aae663bc823e2d5127c61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/20/7c14cea3-fd94-4c66-b3e0-f8b8eef6a7e4.png?resizew=160)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6c62979a7aa534a191d8387a741e8.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745df4f226027778d5fe45b6501b822.png)
您最近一年使用:0次