解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d605b62a074927d5330d615fe14136.png)
的最大值为M,最小值为m,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0484e78c959195390eb58a07b1d7946.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d605b62a074927d5330d615fe14136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12a199a1eb2141506384b061982d3e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0484e78c959195390eb58a07b1d7946.png)
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解题方法
2 . 对于给定的区间
,如果存在一个正的常数
,使得
都有
,且
对
恒成立,那么称函数
为
上的“
成功函数”.已知函数
,若函数
是
上的“4成功函数”,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25083b9086a1ed3432a2fc9c1b15619f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3469292e7aea6a50ced42cddce157b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691e1b95237bd609dfd15759a9206bde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768792e2684dca75cc78d46c07c25668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334919736e5ed881f691e4ca738b4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-03-01更新
|
330次组卷
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8卷引用:黑龙江省哈尔滨师范大学附属中学2023-2024学年高一下学期开学考试数学试卷
黑龙江省哈尔滨师范大学附属中学2023-2024学年高一下学期开学考试数学试卷重庆市南开中学校2022-2023学年高一上学期期末数学试题江苏省射阳中学2022-2023学年高一上学期期末数学试题辽宁省沈阳市第一二〇中学2023-2024学年高三上学期第一次质量监测数学试题(已下线)高一上学期期末考试填空题压轴题50题专练-举一反三系列(已下线)第4章 指数函数、对数函数与幂函数-【优化数学】单元测试能力卷(人教B版2019)重庆市万州第二高级中学2023-2024学年高一下学期开学考试数学试题(已下线)专题11 不等式恒成立、能成立、恰好成立问题(过关集训)
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解题方法
3 . 若函数
(
为常数),已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae29317607823b6a59ac52e25d39ed14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a182bc70612b5d361c3caeadfea19fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
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4 . 设
是定义在
上的奇函数,对任意的
满足
且
,则不等式
的解集为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efc9deac8869f91ccaea241dd6a8305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ea3a409f1c048a9cfca86e653a53d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4940850add23cec507b2ec1c934313.png)
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解题方法
5 . 已知函数
满足以下条件:
①
图像关于y轴对称;
②
的值域为
;
③
在
内为减函数.
则满足上述条件的一个函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
________ .(只需任意写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
则满足上述条件的一个函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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解题方法
6 . 已知函数
为定义在
上的偶函数,在
上单调递增,并且
,则
的取值范围是___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4af2254f1f1a7c0a54736be289c9012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aef34bad222e794fb57230099a016a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-03更新
|
412次组卷
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2卷引用:黑龙江省绥化市肇东四中2023-2024学年高一上学期期末数学试题
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解题方法
7 . 已知连续函数
满足:①
,则有
,②当
时,
,③
,则不等式
的解集为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2671f593186fa00f17ad26eba7b8f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6f5d45adf0314f93a495f037109bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61adc4745f283e4072ddd762f92ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a70c79498eaafdd27bbd17f57ae46b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9e3f5c9a7a3f2f89d2ea12d35521d3.png)
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2023-11-29更新
|
574次组卷
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3卷引用:黑龙江省绥化市哈师大青冈实验中学2023-2024学年高一上学期期中数学试题
黑龙江省绥化市哈师大青冈实验中学2023-2024学年高一上学期期中数学试题四川省内江市第六中学2023-2024学年高一上学期期中考试数学试卷(已下线)专题04 函数的性质与应用1-期末复习重难培优与单元检测(人教A版2019)
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8 . 已知幂函数
为非奇非偶函数,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c610a2e8a430a8db93e8123cddb71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2023-10-11更新
|
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|
3卷引用:黑龙江省哈尔滨市哈尔滨师范大学附属中学2023-2024学年高三上学期10月月考数学试题
名校
解题方法
9 . 已知函数
,若任意的正数
均满足
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85d7da2399e149db4c51be83eb15bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f5ca6e6244f02ba60960afee06bbd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
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10 . 已知函数
,下列说法正确的是:__________ .
①当
时,函数
为偶函数;
②当
时,函数
的定义域为
;
③当
时,函数
的值域为
;
④当
时,函数
单调递减,
时,函数
单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e115fb1ba967d80d3ce9f484bc148a.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff5a4ea4c4220d6febec82c034d1a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eeee40bad44c0a8e4588fa626209e6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4e9ce4de99a598f6d72edd67bb4fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b39387a2857e94bb00c6c011911b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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