1 . 已知函数
.
(1)若不等式
的解集是
,求实数
的最大值;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d61ba148ec72ba6a1fb96b538f18c6.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fed8e87215b97c3b8bba07274159d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59e12a45d489bd992d3721f199ff81d.png)
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名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c346f985091b21335795988d0ad7b848.png)
(1)求不等式
的解集
;
(2)若
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c346f985091b21335795988d0ad7b848.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27dd329517f0dd8f1d0dfade6138ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab92728b35ed5798e07a2b0095bfcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e41a1e26ba035e82121c09702cc24.png)
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解题方法
3 . 已知函数
.
(1)求不等式
的解集M;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036fd1de458f1b71cd921b4008e28733.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32dbf3d6fca7f835257b0928a52e1d1b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f40e0c11a870803c09cc07de525f569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5518414aa80ff60aca3d3b388956a455.png)
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2022-06-06更新
|
367次组卷
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4卷引用:吉林省吉林市普通高中2022届高三第四次调研测试理科数学试题
4 . 已知函数
.
(1)设
的反函数为
,求
的最值.
(2)函数
满足
,求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edb40aa0c70fcef722fdb19ff134b48.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90459228092aec6d324784babcbb2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92860378096f519a8fb276d07dbfabce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d4a1283e55b1dc8d63fa012c53af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7511e6ce72a5232820b7007f976be9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee284116732bcc5309e44ca41abdcfa.png)
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5 . 已知函数
的值域为
.
(1)求
;
(2)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcdc1e638a6954862fa09346f42a5e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2b85186925658e66d8541a5645269e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2c10f23e473f26d2583104f93b23ae.png)
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2022-05-19更新
|
368次组卷
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4卷引用:江西省宜春市八校2022届高三下学期联合考试数学(文)试题
6 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ac12138178cb539a9e1c8f77587038.png)
(1)证明:
;
(2)已知
,
,求
的最小值,以及取得最小值时的
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ac12138178cb539a9e1c8f77587038.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b105f9f5823220345fe86cb2fc21ab.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348aca26e61218d251581e21c1129a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa209b3fac4adb64d36b3a263be0af5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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2022-05-09更新
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6卷引用:贵州省贵阳市2022届高三适应性考试(二)数学(文)试题
贵州省贵阳市2022届高三适应性考试(二)数学(文)试题贵州省贵阳市2022届高三适应性考试(二)数学(理)试题(已下线)押全国卷(理科)第23题 不等式选讲-备战2022年高考数学(理)临考题号押题(全国卷)(已下线)专题03 等式与不等式的性质(已下线)专题03 等式与不等式的性质-2四川省成都市郫都区2024届高三上学期阶段检测(二)文科数学试题
名校
解题方法
7 . 已知函数
,若不等式
的解集为
或
.
(1)求t的值;
(2)若
的最小值为m,且实数a,b,c满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c19231580bd1747cc4b356d6ff7928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9483800e1d955faf19936ac9b35ab4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a893afeefb601959fe5b58562fdb0136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5192aad6430e39cb6d57055c8d132bb1.png)
(1)求t的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ba21b7abbf6f1ffd3ba878b00f8dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bcc965009111a8dc6a8acb18127dbf.png)
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2022-05-08更新
|
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4卷引用:河南省安阳市重点高中2021-2022学年高三模拟考试理科数学试题
河南省安阳市重点高中2021-2022学年高三模拟考试理科数学试题河南省安阳市重点高中2021-2022学年高三模拟考试文科数学试题四川省广安市第二中学校2022届高三下学期第四次模拟考试数学(理)试题(已下线)押全国卷(文科)第23题 不等式选讲-备战2022年高考数学(文)临考题号押题(全国卷)
8 . 已知函数
的最大值为M,正实数m,n满足m+n=M.
(1)若不等式
有解,求a的取值范围;
(2)当
时,对任意正实数p,q,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bccd2c996274e8e779ada8bc4f4e8e6a.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee01764579500ac925fd169c3e73332.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a586f8098b92c7ce353e8934231920bf.png)
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2022-05-01更新
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7卷引用:山西省太原市2022届高三二模数学(文)试题
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2022高三·全国·专题练习
名校
9 . 已知
,
,
,求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8b020a520a9ba93cc751c175a2903d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be74ed666178c7642f73e406603783f6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08496edc372d910c3c825ab9e2736008.png)
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10 . 已知a,b,
.
(1)若
,求证:
;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0097ca400d4619a94c4282c1ef6ec68e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3aec1994a01be9e9335a62177131ee4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0818daf1a57c4b4c3666d411dcc76f8a.png)
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2022-04-07更新
|
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4卷引用:云南师范大学附属中学2022届高三高考适应性月考卷(九)数学(理)试题