1 . 若
,
,则下列结论错误 的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b332872c51b433befe65fbe773380.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 解不等式
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b255276ab26638194fa865c67c72e38.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83455d9448b63a6eae1565280d6a6111.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03f5e2ce625506cc6901e3bbfd57616.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1d13d3ea411f5d9014d50f0978371.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a1e5b6961c95a87c2d8e0381dd0667.png)
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2023-10-21更新
|
306次组卷
|
2卷引用:山东省淄博实验中学2023-2024学年高一上学期数学10月月考数学试题
3 . (1)已知
,若
的最小值是6.求a的值.
(2)已知a,b均为正数,且满足
.求
的最小值及取到最小值时a与b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1261018cab190108a3b1ae647ce2900a.png)
(2)已知a,b均为正数,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffcee2fc6a095248d642aa11fd91074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb88c3fad73eb32197b8daa565cf428.png)
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解题方法
4 . 已知
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d89ab55ffb93cc48f077b542dbd25aa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知
,设函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d5fc7fd80c70bfa9cce9feb8a3f6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665dc334a37e61c356b636604eb0f8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知:
,
求下列各式的取值范围.
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a42e0a21e37af8258102a4bd62b3ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e84dbb03e8c627ff11d5c7aeb0c8b5.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
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解题方法
7 . (1)已知
,求
的取值范围;
(2)已知
,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa4ae5deebd70f636979c67ddeb6dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24fb6244f7eb128adbe4515e88aa9e53.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fed98a219097783e0ca2f41483cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4032f478968290363b0f6488610e123.png)
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8 . 已知代数式
和
.
(1)若
,
,求不等式
的解集;
(2)右
,
,证明:
、
中至少有一个数不小于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe56a82278b144101fda1fa2cf59703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0a82f3b0b621e05cf6e77cddb0628e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404e49c94a0f74954a07d502f8249a84.png)
(2)右
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe56a82278b144101fda1fa2cf59703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0a82f3b0b621e05cf6e77cddb0628e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
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2023-10-18更新
|
109次组卷
|
2卷引用:上海市吴淞中学2023-2024学年高一上学期第一次调研(10月)数学试题
名校
9 . 已知
,
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e660df5d0998df59b531264bbb86312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/056c190a5c80ae3023614298c340da2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8f57888830924abbaa5b9cb7481787.png)
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10 . 设
且
,那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5805a4fb349c844e5e0a2ee02b66ebc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05d5eaaa5a705b0941ec5c0711c701c.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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