2024高三下·全国·专题练习
1 . 函数
,
,其中
为常数,当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab0a4e08b5bbfa6352b3be4052c071a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bb0f15566a600dd8309c69e729599e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fe2115d883d13561e28006d3f6143b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca976e2a17cb8969514ab0c10c839c56.png)
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2 . 解下列不等式:
(1)
:
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f40c063a8daa595d0dad3a5a277b1526.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73a021fc5a19b534e9a8b67818504b1.png)
您最近一年使用:0次
名校
解题方法
3 . (1)解不等式
;
(2)用作差法比较大小
与
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef79213e3f1afd42daf467a78474c7dc.png)
(2)用作差法比较大小
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1567f3ba3dd484d885a134239b6a7496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41d3f5345d3af16392fc6da4e669459.png)
您最近一年使用:0次
2023-12-20更新
|
644次组卷
|
2卷引用:新疆维吾尔自治区喀什市第十中学2023-2024学年高一上学期期中考试数学试题
解题方法
4 . (1)已知
,
,求
,
的取值范围
(2)已知
,且
,
,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab09b7f7bc95b5f294ef8d0826ff436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44040b6eb41b711bca46c9d8f4c7e044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754826457671db8939098215943e656a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3211291bd08c67e49809036416e46a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8201ff29a2091d40eee10db6bbc1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ee8a678f431a14c7c6c1a6088d057c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46950cf924aff835a6aa4bf477c27b24.png)
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解题方法
5 . 已知
均为正实数,且
.
(1)证明:
;
(2)比较
和
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
(2)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018e913f8c221c75c5e5808d5f2ae38c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ffe0f358c41219229650ce395a8803.png)
您最近一年使用:0次
名校
解题方法
6 . 设
.当
时,比较
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf58420cbb89185ca6e99d2c63a50ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
您最近一年使用:0次
7 . 解不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27ecb2babdf3944dad8bf58bf4e226d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beeb5d6b38112436a4a47cfa0bb57a15.png)
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解题方法
8 . 比较下列两组代数式的大小.
(1)
与
;
(2)
与
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c043cdc50b7b873ba92a09e1ce3bc3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d7efe2af3376b257fccd2238fe0df0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98d0c8e5ef195aed995d2ec98f81de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1694d32baecc3624b3ded96f7c1156.png)
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2023高一·上海·专题练习
9 . 设
、
为实数,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/555692feb58c85f4c1ad5dfbbd575639.png)
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10 . 解关于
的不等式.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66de2b67d3a40b9d2ba56f776e0c253.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005825e1468b88f20b2bd766c01c317f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea76e01c38f7eeeaea3638eb231b26b.png)
您最近一年使用:0次