名校
1 . 已知集合.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149fbbd377dbfce3378769cf19debf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-20更新
|
223次组卷
|
2卷引用:北京市北师大附中平谷第一分校2023-2024学年高一下学期2月开学测试数学试题
名校
解题方法
2 . 已知全集
,集合
,
.
(1)求
;
(2)设非空集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188791535098a44dcdea38cd18d79ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf1803e9e2187719584015d5d14a219.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118fe6dc1c927899fbb578090eb4135a.png)
(2)设非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed06ea447e02ef433af60228ed76b633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f19188befa38b059795589934190eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-09-19更新
|
422次组卷
|
2卷引用:北京市第六十六中学2024届高三上学期第一次检测数学试题
名校
解题方法
3 . 已知函数
,其中
,且
.
(1)当
时,不等式
的解集为_______.
(2)如果对于任意
,都有
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680ac04d84fd1483ffbd0f81ee42e713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a8f226d177a419e52f466a3e6a9d2bd.png)
(2)如果对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d676e373b4c3d1a08650fcf3d63fa56.png)
您最近一年使用:0次
2023-02-19更新
|
193次组卷
|
2卷引用:北京大学附属中学惠新校区2022-2023学年高一下学期第3学段开学测试数学试题
解题方法
4 . 已知集合
,
.
(1)当
时,求
,
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf093f39207487fadb81586a933f72d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebed5ca1c5631e3d05a8f437b34ae88.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa5ad99d60a473d94bb6811ddbfe8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.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
2023-01-04更新
|
193次组卷
|
2卷引用:北京市清华大学附属中学望京学校2022-2023学年高一下学期2月统练(开学考试)数学试题
名校
解题方法
5 . 已知函数
.
(1)求不等式
的解集;
(2)求函数
的单调区间和极值;
(3)函数
在区间
上的最大值和最小值;
(4)若在区间
上,函数
总有最小值,求出
的取值范围;
(5)在函数
的图像上是否一定存在两条互相垂直的切线?(本问直接写出结论,不需写理由)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16aaf28cf0a4c43bf5ffc79a68e1a36.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
(4)若在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a8f80511de15d3dfb871ca2f400424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(5)在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
解题方法
6 . 已知集合
,
.
(Ⅰ)求集合
;
(Ⅱ)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6599af7404575a9d3e2f2b0fa57e4ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a42838367b2aee4cd4238a11cc6a4e.png)
(Ⅰ)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37fe399edee540a30a04f7cdbeecd29.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
7 . 试求出所有正整数
使得关于
的二次方程
至少有一个整数根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31558670b85343ec64fb2928ec9654e6.png)
您最近一年使用:0次
2020-11-02更新
|
227次组卷
|
2卷引用:北京市清华附中2019-2020学年高一新生分班考试数学试题