解题方法
1 . 已知
,
,函数
,且
.
(1)求
的值;
(2)若对任意
,不等式
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4723e3a800fd8625ac5751ec8aaa237b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775409834c964333b8c6f58127b7fab6.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/555aaf4304c9ecaaaf3279ddf22e4f07.png)
您最近一年使用:0次
名校
2 . 已知函数
,
分别是定义在
上的偶函数和奇函数,且
,若函数
有唯一零点,则实数
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926e447dfcb6b80f0cec05304035d5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad0627a6f6f15eea2f8a103b2f2008d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() ![]() | B.1或![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-04-09更新
|
5241次组卷
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16卷引用:河北省保定市第三中学2020-2021学年高二下学期期末数学试题
河北省保定市第三中学2020-2021学年高二下学期期末数学试题重庆市松树桥中学2019-2020学年高三下学期第二次月考数学(文)试题山东省济宁市嘉祥县第一中学2020届高三下学期第四模拟考试(考前训练二)数学试题(已下线)2021届高三数学新高考“8+4+4”小题狂练(18)河北省石家庄市第二中学2020-2021学年高一上学期1月月考数学试题山东省枣庄市第八中学2021-2022学年高三上学期9月月考数学试题新疆喀什地区莎车县第一中学2022届高三上学期期中数学试题福建省龙岩第一中学2022届高三上学期第一次月考数学试题(已下线)第5讲 函数零点问题:分段函数零点、唯一零点-2022年新高考数学二轮专题突破精练(已下线)2022年高考考前20天终极冲刺攻略(一)【理科数学】(5月17日)(已下线)专题03 函数的概念及性质(测)山东省泰安英雄山中学2022-2023学年高三上学期第一次月考数学试题(已下线)专题16 函数与导数常见经典压轴小题全归类(精讲精练)-1(已下线)专题12 函数与方程-2(已下线)第07讲 函数与方程(十一大题型)(讲义)(已下线)必修第一册综合检测-人教A版(2019)必修第一册单元测试能力卷
名校
3 . 定义在
上的函数
,
单调递增,
,若对任意
,存在
,使得
成立,则称
是
在
上的“追逐函数”.若
,则下列四个命题:①
是
在
上的“追逐函数”;②若
是
在
上的“追逐函数”,则
;③
是
在
上的“追逐函数”;④当
时,存在
,使得
是
在
上的“追逐函数”.其中正确命题的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fda2de9820af4dd6bbb59ab6ec54aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1597d5afa293403d63f074adb07cba9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208575de4f7422c995dd601c54d264d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264b93aa6b21f14144bf1f77be3831e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3211fdab46b25330ea846208975744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fda2de9820af4dd6bbb59ab6ec54aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078d5da73e5aa679bc163820b7b73f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6aaf4cbcc56a4a2e6372744c8060289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af34d22101aa2ec7499fddd8f71e21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d191d6de821fbb06a51b5a20112db6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72300dd178edeb08d10ee8f2cbfe3f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8262f44365e9b3784d62c8350cb66f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fda2de9820af4dd6bbb59ab6ec54aaa.png)
A.①③ | B.②④ | C.①④ | D.②③ |
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2019-03-31更新
|
1500次组卷
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6卷引用:四川省遂宁市2018-2019学年高二下学期期末数学(理)试题
4 . 定义函数
,
,其中
,符号
表示数
中的较大者,给出以下命题:
①
是奇函数;
②若不等式
对一切实数
恒成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad6aed46a20a642a1715ec6c095d637.png)
③
时,
最小值是2450
④“
”是“
”成立的充要条件
以上正确命题是__________ .(写出所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c33a2b3e49d97efe77cf2347971772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53ad6b511253288bb1a39cf30a82e644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff8a27243f951c34c4bf49e4671cd09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad6aed46a20a642a1715ec6c095d637.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d642e5b82f541e2369b44f7243365f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad54140b7691e8b6ef343201175fde6.png)
④“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e801cb6a3687aa06380932a8ba7837.png)
以上正确命题是
您最近一年使用:0次
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|
1577次组卷
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5卷引用:湖南省益阳市桃江县2018-2019学年高二下学期期末数学(理)试题
5 . 已知函数
.
(1)当
,
时,求满足
的
的值;
(2)若函数
是定义在
上的奇函数.
①存在
,使得不等式
有解,求实数
的取值范围;
②若函数
满足
,若对任意
且
,不等式
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be11017c02bc31b23562b239f8e71798.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8326eccb6fccce4cad9ff889bf0febbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee659ba96d05863675917e28f444657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba86aea760ec6a506715968b35cc738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710c6884f20ec5a0000f04ebe1c432e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3卷引用:【校级联考】江西省南昌市八一中学、洪都中学、麻丘高中等七校2018-2019学年高二下学期期末考试数学(文)试题
名校
6 . 已知
,若不等式
对任意的
恒成立,则整数
的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f90c8234b84bf322c91fcb8cf02bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f201201830bccaf698ccd4e4da538737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836ec3b141ae9c4ea4b1fd8b075d0fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2017-06-22更新
|
2412次组卷
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3卷引用:江苏省南京市高淳区2016-2017学年高二下期末考试数学试题
名校
7 . 已知函数
.
(1)当
时,判断
在
的单调性,并用定义证明;
(2)若对任意
,不等式
恒成立,求
的取值范围;
(3)讨论
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bd3a06f497a6ca775582921156d837.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6ffa6fe2387ee19234c2ad0fcb92ea.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbad857b7a41da502c9cc06d31bbf62a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次