解题方法
1 . 已知函数
的定义域为
,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0715bbe2f0babcd3f71e859af66aad86.png)
__________ .
![](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/b90748094514b2bb51985c0879270a34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/313291f8e3ec7905054ad4ccc54faf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0715bbe2f0babcd3f71e859af66aad86.png)
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2 . 定义在
上的偶函数
的导函数满足
,且
,若
,则不等式
的解集为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770f35b8dae2da2528c0961c4886ce20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfaf5a9d000d1cbc232155ea4f12921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8236b6f078f8dc308650f5fa57f5f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f88baa414c8b4a16a46234b7b1d874d.png)
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3 . 定义在
上的偶函数
的导函数满足
,且
,若
,则不等式
的解集为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770f35b8dae2da2528c0961c4886ce20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfaf5a9d000d1cbc232155ea4f12921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8236b6f078f8dc308650f5fa57f5f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f88baa414c8b4a16a46234b7b1d874d.png)
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解题方法
4 . 已知函数
的图象关于直线
对称,且对
都有
,当
时,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5735bba992172495207dbdaf974742.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b727eb9da56be079445321cf61cf26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37686804afb6a729057f3dde6337eda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b14d0c440da20a2472608f1eec52eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c395237799431ccbd691c17d5c78ac3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5735bba992172495207dbdaf974742.png)
您最近一年使用:0次
2022-09-22更新
|
1704次组卷
|
4卷引用:江西省宜春市上高二中2022-2023学年高二上学期第一次月考数学试题
名校
解题方法
5 . 已知定义域为R的函数
满足
,且
,
,现定义函数
的解析式如下:
,
,关于
现给出如下结论,其中正确结论的编号为______ .
(1)函数
是奇函数;
(2)函数
是偶函数;
(3)函数
的最小正周期为
;
(4)
是函数
的一个周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15259d47ffd6296faef7dff3add28d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c9abee0619dcc5cd3bf7f40c4edadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2ea8a2a6013eb18b53ea3aeb6ef56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f8335cbb2c23b4a709803ad70450d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666aae2e58424daed27f2ae4f4731e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f97bb73e9e112f70d9627a6c8863b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f8335cbb2c23b4a709803ad70450d0.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4d45cb4978b543ae6a3ac9bf91f409.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4693db4218487384cf3ea8bc62d7c94.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4d45cb4978b543ae6a3ac9bf91f409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3ee8d998f8623dde79ac99cf727b3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4693db4218487384cf3ea8bc62d7c94.png)
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6 . 定义在
上的函数
、
,且满足
对任意
恒成立,请判断以下命题:
(1)若
是周期函数,则函数
也是周期函数;
(2)若
是偶函数,则函数
也是偶函数;
(3)若
是
上的严格增函数,则函数
是
上的严格增函数或者严格减函数;
(4)若
是
上的增函数,则函数
与函数
也都是
上的增函数.
其中真命题的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec6c7a1da7ecaef51a3d08fbcdf2821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5223ece2f8f76850c49e2505304532.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d02059613da3797ae406925b6ee5b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
其中真命题的序号是
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解题方法
7 . 已知函数
对任意的实数满足:
,且当
时,
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7554e4d22e4dc9b26af1fe2ba5f8f810.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec31c2a7be7d8ba2500e0b370f22acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9dbd0ea604e4290b9c6ee60e6909d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa5037e12702c13d60e9ca9b3eb5db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16589640a4b86c5c10620b267884982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7554e4d22e4dc9b26af1fe2ba5f8f810.png)
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8 . 已知
为R上的可导的偶函数,且满足
,且
,则
在
处的切线方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed47889e2018228380c924024c17bc8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd25568a347fb82444293593568f5942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea392515abeb8ffae9bc15c93c807407.png)
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解题方法
9 . 已知
为R上的可导的偶函数,且满足
,则
在
处的切线斜率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d188023d6a70dcd1df26b5f54bfc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea392515abeb8ffae9bc15c93c807407.png)
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2022-04-14更新
|
827次组卷
|
4卷引用:广东省佛山市顺德区东逸湾实验学校2021-2022学年高二下学期阶段性质量检测数学试题
广东省佛山市顺德区东逸湾实验学校2021-2022学年高二下学期阶段性质量检测数学试题陕西省渭南市2022届高三下学期二模文科数学试题(已下线)3.2.2 函数的性质(二)(精练)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)重庆市缙云教育联盟2022届高三下学期第三次诊断性检测数学试题
名校
解题方法
10 . 定义在
上的奇函数
满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778343b78191047f0b59f09fca5017d5.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea41c11fd7c964ab966fecdd221d579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b5320a6f673d6c2e70a815adaf2440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778343b78191047f0b59f09fca5017d5.png)
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2021-12-03更新
|
436次组卷
|
2卷引用:贵州省毕节市金沙县2021-2022学年高二10月月考数学试题