解题方法
1 . 对于非空有限整数集X,
,定义
,对
现有两个非空有限整数集A,B,已知
且
.
(1)当
时求集合B;
(2)证明:
;
(3)当
且
时,任取
构造函数
问:当a,b取何值时,
的最小值最小?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f6b18b109a656b62fb173680ae99ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9451ce4fed053674ea20d5b455b783d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb70a272d3abd0bb156e332e75dc36b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43cd3b18a04c9a72a0bf7791bdf56a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9a194c0b9152e11aabc059c8483b93.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba387b457949fde336790c9d05c4f1c.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15d281a85375fcf633d2cd86e294028.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eeee50bc500aad281fbb28d465db5b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4a0f5fcd7882200fa25b6ee5143f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c41c277675b413bbff28387082c9785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbad171aea431ed7347bcdc7fbef54d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
2 . 已知函数
,其中
为常数.
(1)当
时,解不等式
的解集;
(2)当
时,写出函数
的单调区间;
(3)若在
上存在2021个不同的实数
,
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419296a8cb4b532966919667e3173b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d0cd47609b9d1865dfff4979161cf5.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18bbbe7ffc25c5eb6df31aba522ae65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c980513560e49295f00bfe3e70d3916a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2462864522f91ef243ad5815dda12ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 函数
.
(1)若
的最小值为0,求a的值;
(2)对于集合
,若任意的
,总存在
,使得
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0d56de6d5c9d0f15c89835d4f2b419.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)对于集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54813454c88186b073ab2d2539c2f269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0ac8b620b5eca9daa7276712935ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea818a4506f4b158f85e721b60c86c.png)
您最近一年使用:0次
2022-12-12更新
|
1238次组卷
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2卷引用: 湖南省张家界市慈利县第一中学2022-2023学年高一下学期入学考试数学试题