名校
1 . 已知函数
满足对任意
,都有
成立,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1200b4b58a17178732044595837a8f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ca3aa2d1ba52e82613d0d65d800e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c720bf6e24c20ef6eee1e6558587387c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-11-04更新
|
531次组卷
|
9卷引用:江西省上饶市铅山县第一中学2020-2021学年高一(自招班)上学期联考数学试题
江西省上饶市铅山县第一中学2020-2021学年高一(自招班)上学期联考数学试题江苏省淮安市六校联盟2020-2021学年高一上学期第二次学情调查数学试题江西省景德镇市2021-2022学年高一上学期期中数学试题黑龙江省哈尔滨市第七十三中学校2022-2023学年高一上学期第一次月考数学试题江苏省宿迁市文昌高级中学2022-2023学年高一上学期期中数学试题内蒙古包头钢铁公司第四中学2022-2023学年高一上学期期中考试数学试题河北省张家口市宣化第一中学2022-2023学年高一下学期期初数学试题(已下线)重难点03函数(15种解题模型与方法)(2)(已下线)第三章 函数的概念与性质(单元测试)-【上好课】
解题方法
2 . 设函数
是定义在
上的奇函数,且当
时,
.
(1)求
的解析式;
(2)若
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a294f64e59355fc3b216b4ae17129a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3cfe0d30dca23488bf069b3edfd280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
3 . 已知函数
满足
.
(1)求
,
的值;
(2)用单调性定义证明:
在
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2685bec185d9cfd9624c8ff4dacc76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88fa90c491a743551997050d10b9673.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)用单调性定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
您最近一年使用:0次
4 . 已知函数
,
的定义域均为
,且满足:①
,
;②
为偶函数,
;③
,
,
.
(1)求
的值,并证明:
为奇函数;
(2)
,且
,证明:
①
;
②
单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f107d87b09135ba6960ee7bb57a4df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9c2610130975ce70228f3a7fed50ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f107d87b09135ba6960ee7bb57a4df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105a7e969af3553f18591c141d2df4a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3baf34ce7cc1cf7228df43831495a3e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036be5035a4ee1aa3e05167dccdcfbc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae2c13ad91dae29cf4d9f794a8808dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9e99f6619b586d60f4f97504d7f6e6.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
您最近一年使用:0次
解题方法
5 . 已知函数
为奇函数,且不为常函数.
(1)求
的值;
(2)若
,用定义法证明:
在
上单调递减;
(3)若(2)中的
对
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad9839b7478feecfdffba75bc090b3f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84aec44f97cc5d4a16c1e2d14bfcd352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a1d642536351adb6a11b8e48543d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d59e687c835e02154e54a319e98b78.png)
(3)若(2)中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a1d642536351adb6a11b8e48543d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1187b2a88220f7d936638858aa47bed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5316f0310e011cae174988a051019670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
6 . 已知函数
的定义域为
,当
时,
,且对任意
满足
.
(1)求
的值;
(2)判断
的单调性,并加以说明;
(3)当
时,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a51fe74d3a239f762e2e1784f62e3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5498668c20923f3ff17e0ce792b185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bceb4140c7abe75727d6dec0fd4ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c1829bbdfbee93d452a9d6bc375016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de0dce345ab3aa3481da10e3943a00f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fef9f283d686d73f9bd5d84bb1f90fa.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a51fe74d3a239f762e2e1784f62e3e6.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e38d9b5e5dd8a7656077b3341004447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fd5efd31e4a17c37c0b6e1d636f866.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
满足对一切
都有
,且
,当
时有
.
(1)求
的值;
(2)判断并证明函数
在R上的单调性;
(3)解不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d200a7afe1e011713e14886a6887e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03094eee75cad78d50cf8268a6900b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b530377e3fe56b7988935dd73d9dccd.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9bcac4b8290172c9a80a1b24cb98c6.png)
您最近一年使用:0次
解题方法
8 . 已知
是奇函数.当
时,
.
(1)当
时,求
的解析式;
(2)用定义证明:
在
上是减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68dda9b3f4d479548dcc39c07ac5f52.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
您最近一年使用:0次
解题方法
9 . 已知函数
的定义域为
,且对任意两个不相等的实数
,
都有
,则不等式
的解集为( ).
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bea1b1efb1fd043529050ab8869a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949be9637f50365223b42c5f19625c38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-01-09更新
|
1032次组卷
|
7卷引用:山东省全省大联考2020-2021学年高一上学期模拟选课走班调考数学试题
山东省全省大联考2020-2021学年高一上学期模拟选课走班调考数学试题吉林省白山市2020-2021学年高一上学期期末考试数学试题贵州省龙里县九八五实验学校2020-2021学年高一上学期期末质量检测数学试题(已下线)专题3.3 函数的基本性质-重难点题型精讲-2021-2022学年高一数学举一反三系列(人教A版2019必修第一册)贵州省遵义市桐梓县荣兴高级中学2023-2024学年高一上学期第四次月考数学试题(已下线)考点04 函数的基本性质-2022年高考数学一轮复习小题多维练(新高考版)(已下线)专题07 函数的性质-单调性、奇偶性、周期性-1
10 . (1)求函数
的定义域;
(2)用定义法证明
是(-∞,-3)上的减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fecb486437ce9eb440f27ee740a504b4.png)
(2)用定义法证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec26a883dd831a7b3447d5467c5c4762.png)
您最近一年使用:0次
2021-01-04更新
|
263次组卷
|
4卷引用:山东省全省大联考2020-2021学年高一上学期模拟选课走班调考数学试题