1 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7bb675b0ef0ec120a227f904e7e820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bf1d26f283219879cc0bfb21526151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe156c10c39e5214f325ce8a2180858.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 若函数
是
上的偶函数,
是
上的奇函数,且满足
.
(1)求
,
的解析式;
(2)令
,证明函数
有且只有
个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ea1f7cd5fd2d33bc2ff7e1866bfb1c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
7日内更新
|
227次组卷
|
5卷引用:重庆市清华中学2022届高三上学期7月月考数学试题
重庆市清华中学2022届高三上学期7月月考数学试题福建省永泰县第一中学2020-2021学年高二下学期期末数学试题(已下线)专题07函数期末8种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019)(已下线)专题09 导数与零点、不等式综合常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)福建省八县(市)一中2020-2021学年高二下学期期末联考数学试题
解题方法
3 . 有以下6个函数:①
;②
;③
;④
;⑤
;⑥
.记事件
:从中任取1个函数是奇函数;事件
:从中任取1个函数是偶函数,事件
的对立事件分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0865bfbdbed6158be8f799af53eeb2e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaf2bf2e03dd6d33e03b69c5a318b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4508929da7db1adb7cc7a70e91be543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94281abc10cdc81b129f685b79b60bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53b03386ed265ae10a1b62f99f1bbb9.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
7日内更新
|
296次组卷
|
4卷引用:2024届河南省名校联盟考前模拟大联考三模数学试题
2024届河南省名校联盟考前模拟大联考三模数学试题河南省濮阳市2024届高三第三次模拟考试数学试题(已下线)概率、随机变量及其分布-综合测试卷B卷海南省2020-2021学年高二下学期期末考试数学试题
名校
解题方法
4 . 设
,若关于x的方程
有三个不同的实数根,则实数t的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955efc3ec6a981f38d08d9ad0549cacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a8935d43b0dc67ee168106bac7e78c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 设
,
.
(1)若x,y均为锐角且
,求z的取值范围;
(2)若
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018fc39fe3a5feee51a08ee8c58483e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ebed1b93046c28dd4ce381df0ca441f.png)
(1)若x,y均为锐角且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3085600fba3d8ce8403ddc8b44996f88.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7204495706847fd4c8abc55e89c9a35f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598caae9102ce0b49bdd2ea12189562d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca80d80b6e1577762585b69145736b.png)
您最近一年使用:0次
2024-06-13更新
|
50次组卷
|
3卷引用:四川省成都市树德中学2023-2024学年高三下学期适应性考试数学(文)试题
6 . 除数函数(divisor function)
的函数值等于n的正因数的个数,例如,
,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866853fd20eba164ab42e8dc95e42261.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9b9a292d3af0bb1fdf261406902194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc1e6d4c0cdb17c53e850d5158e010a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13132f76cdafd3535a790b800aeeadbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866853fd20eba164ab42e8dc95e42261.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
是定义在
上的偶函数,当
时,
,且
.
(1)求
的值,并求出
的解析式;
(2)若
在
上恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5356fc43fc0523369cacd5f5af19efbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66348f5e56ee57df86b684605eea2194.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc01c6292939914a1c7b78cafa54799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
8 . 如图,点
是
重心,
、
分别是边
、
上的动点,且
、
、
三点共线.
,将
用
、
、
表示;
(2)设
,
,问:
是否是定值?若是,求出该定值;若不是,请说明理由;
(3)在(2)的条件下,记
与
的面积分别为
、
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3488f90ce6ca9c1d0d8d8a8168e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4b9dda541ca792577227f3014ddc6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4731335d26e45bf7041b36c5f0a1121d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d098ac2229ff7bb4ee0848f768c53896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b6987d9d311905b9dd7aeaddab745d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
(3)在(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a093d690c27c7e19a52264511d6f87.png)
您最近一年使用:0次
解题方法
9 . 已知函数
的导函数为
,
的导函数为
,对于区间A,若
与
在区间A上都单调递增或都单调递减,则称
为区间A上的自律函数.
(1)若
是R上的自律函数.
(ⅰ)求a的取值范围;
(ⅱ)若a取得最小值时,
只有一个实根,求实数t的取值范围;
(2)已知函数
,判断是否存在b,c及
,使得
在
上不单调,且
是
及
上的自律函数,若存在,求出b与c的关系及b的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6710a9e70f5e01e62df02c7977fb99.png)
(ⅰ)求a的取值范围;
(ⅱ)若a取得最小值时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e5b4bb2360c7df054d14d0a20186da.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a0c15b208d3096fdf206a6ac918c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2188a7cdcc9dac14ffbbc2239c81a7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfdd3d02b54e997cbec983d80f6bafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b14ccdd85f5f2f59f6b0ef3329f34a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1057fe66bead8b39e4099ca62a9d5a28.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,则下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad7b9244e29eda3041bcf10667ad400.png)
A.函数![]() | B.函数![]() ![]() |
C.函数![]() ![]() | D.函数![]() ![]() |
您最近一年使用:0次