名校
解题方法
1 . 设定义域为
的奇函数
,(其中
为实数).
(1)求
的值;
(2)是否存在实数
和
,使不等式
成立?若存在,求出实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df794408483384e8f8189748658d473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac6a2f7366e0190592444bb60d3cea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b308848bd13caec28960ba247b8ec381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
2 . 已知函数
.
(1)若关于
的不等式
的解集为
,求a,b的值;
(2)已知当
时,
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba85cd64b03a571816a2c9beab7f6314.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb9056a484e06d3cd225c7293033d1c.png)
(2)已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d6a9ea77300969ca2f356f5606939f.png)
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2024-02-11更新
|
217次组卷
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2卷引用:安徽省部分重点中学2023-2024学年高一上学期期末测试数学试卷
解题方法
3 . 已知函数
的定义域为
,
,
,总有
成立.若
时,
.
(1)判断并证明函数
的单调性;
(2)若
,求解关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c81b53f8bdd3a06b9753c71b55cd10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3e1e248aef013c04f927d442f80997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807565d0652b6e986e675ef692b02503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf484da13d3b840038817404057552f.png)
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2024-02-11更新
|
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2卷引用:安徽省部分重点中学2023-2024学年高一上学期期末测试数学试卷
4 . 已知函数
,若
,
,且
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaca5bf5eb4cf93b179295506ee563d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4858d0a1748da39fa5c45dc64716a9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965cb48c55e8e938f810f23a8a3d33d6.png)
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2024-02-11更新
|
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2卷引用:安徽省部分重点中学2023-2024学年高一上学期期末测试数学试卷
名校
解题方法
5 . 已知
,不等式
的解集是
.
(1)求
的解析式;
(2)不等式组
的正整数解仅有
个,求实数
取值范围;
(3)若对于任意
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab93efd42a3054040ccff8adf697c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef43138b72a4bed78baa9f84f8d46867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a531df64ff93e8e4b42f3775ef6632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f71c86146c034a19e935dd337223c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2024-02-11更新
|
152次组卷
|
2卷引用:安徽省六安市第二中学2023-2024学年高一上学期期末数学试题(一)
名校
6 . 如图,函数
的图象为折线
,函数
是定义域为R的奇函数,满足
,且当
时,
,给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/f5a2c28c-0b50-4cd2-b91a-44675e5da6ab.png?resizew=164)
①
;②函数
在
内有且仅有3个零点;③
;④不等式
的解集
.其中正确结论的序号是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf468f5132e14ee1d8cc766808b11af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab28aaed1369b8246303597eb5bc183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123bf3451e1cd6900508c4e3560a81f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea730e263c7b433f932b921bf7de679.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/f5a2c28c-0b50-4cd2-b91a-44675e5da6ab.png?resizew=164)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46e5402e7bdf58b11e9610ba48a8c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ba9bba605f7917cf70a8240a6431d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6fb75296a4ee8461c4793383c2cb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d26ff362d6ad9d6861fc8798fab6876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecf707e3aa4a69db3b1a05a4dc30e20.png)
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2024-02-11更新
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2卷引用:安徽省六安市第二中学2023-2024学年高一上学期期末数学试题(一)
名校
7 . 设
是定义在
上的奇函数,对任意的
,
,
,满足:
,若
,则不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1a5699410baa270f3fa8153ab346e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a7c2c68ff0f4fc26f278b6a739b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d002d8423808d081345bdac6c25f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/398eaab5d12423c78190d1ff6f622516.png)
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2024-02-11更新
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3卷引用:安徽省六安市第二中学2023-2024学年高一上学期期末数学试题(一)
名校
解题方法
8 . 已知函数
是
上的增函数,则实数k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b642d488b8d137267d7a7423c43c243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-11更新
|
453次组卷
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2卷引用:安徽省六安市第二中学2023-2024学年高一上学期期末数学试题(一)
名校
解题方法
9 . 已知函数
在区间
上的最大值为
,最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cac1cc15bba8e3b91e0fc7ca8f9e47f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02967a818bd6f2ecb892501741c95bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.png)
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5卷引用:安徽省安庆市第九中学2024届高三上学期12月月考数学试题
安徽省安庆市第九中学2024届高三上学期12月月考数学试题吉林省通化市梅河口市第五中学2024届高三下学期开学考试数学试题(已下线)3.2.2函数奇偶性(已下线)第四套 最新模拟复盘卷四川省内江市第三中学2024届高三第一次适应性考试数学(理科)试卷
名校
解题方法
10 . 已知
是定义在
上的奇函数,当
时,
.
(1)求函数
在
上的解析式;
(2)若对任意的
,都有不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268ea43041203efbb7f5e0ddbce0b8d9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdf7c8f771c4605d81e519e13c6dc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2211ee5470f92f5ca01452cda8320543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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