名校
解题方法
1 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
,若对任意
,都存在
,使得
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106d16034100f58a043f025e4af74569.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d9fd4c8f7de4396bd944aced44f85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f9d255ca420fa2486b11fcb7763b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33890c6b0bf167514d44139d9dca0154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
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2023-01-31更新
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6卷引用:江西省赣州市、河南省开封市(多地区学校)2023届下学期高三开学考试数学(文)试题
名校
2 . 已知函数
.
(1)求不等式
的解集﹔
(2)设函数
的最小值为
,已知
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc820f7d85bbe9c57d6eaed1b471c5f.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a8a9f4f0d6590de86becb733bd1b6b.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffcc694fd1478e215d8d7ccf456bcbe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fde4f8aa8e36636dd397384a1fe8da.png)
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2021-09-06更新
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8卷引用:山西省大同市灵丘县豪洋中学2022届高三上学期开学摸底联考数学(理)试题
名校
3 . 已知函数
.
(1)若
,
,求不等式
的解集;
(2)设函数
的最小值为
,当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e67eb6642cf288f171b0f5a808bda5.png)
(1)若
![](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/ab989f85a681b41c29465d4be74b789f.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f00f997ae12c30f551adb834e1d7ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-01-01更新
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6卷引用:2021年秋季高三数学(理)开学摸底考试卷01
(已下线)2021年秋季高三数学(理)开学摸底考试卷01(已下线)2021年秋季高三数学(文)开学摸底考试卷01河南省信阳市2020-2021学年高三上学期调研考试(12月)理科数学试题河南省信阳市2020-2021学年高三上学期调研考试(12月)文科数学试题河南省信阳市信阳高级中学2020-2021学年高三上学期12月月考数学试题陕西省渭南市韩城市西庄中学2020-2021学年高二下学期期中文科数学试题
4 . 已知函数
,且对任意
,
.
(Ⅰ)求实数
取值的集合
;
(Ⅱ)若实数
,
,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d916b7145fb85cdfe34832a799316d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3883dbde8e94415686af6b76b3e6ec9.png)
(Ⅰ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(Ⅱ)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05f8bcb38a5c47e2e8fe9889717fc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a62c4ed7c5095c7bf712fb08fef0ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c762978235109ec29903fa7f0314be5f.png)
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