1 . (1)已知
,
,
,求证:
;
(2)当
时,不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2129e8ec4f374ae282fb9785461a64c7.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d30ce13f0555c28c8bfc435b1a640a8.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)证明:函数
是奇函数;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2802c53543e37ee05126bb01c09895f7.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e136393c53d7926c26083ba8c9c3c6.png)
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名校
解题方法
3 . 函数
,
(1)解关于
的不等式
;
(2)若
,
①若
,求证
;
②画出
的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5ee992e4d7904e80e246a908fe9051.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e342b2932a0414a3221e961c0e116aa.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764f981a79d9850e2fd2afb79940da50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e297f6897dec36236986df208904d9.png)
②画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
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名校
解题方法
4 . 已知
为常数,函数
.
(1)当
时,求关于
的不等式
的解集;
(2)当
时,若函数
在
上存在零点,求实数
的取值范围;
(3)对于给定的
,且
,证明:关于
的方程
在区间
内有一个实数根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fe72001cc55e5c4c5d96f641aabb42.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0700dce7edc5ec1981b0483eef1b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7eca46642891f6b8e3e30edd9b37dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f48e1c656aace41360467f254e359d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)对于给定的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5223ece2f8f76850c49e2505304532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78288f56f67c4f126209f9d2ee76a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a95496c9d918148f5d86a6d48a136b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803a468e5d66004e57372a5bf2c5e1b.png)
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解题方法
5 . 已知集合
.
(1)求证:
的充要条件是
;
(2)若
是
的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ea30f17181e16a52da2925d19b512d.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
2024高三·全国·专题练习
名校
解题方法
6 . 已知定义在
上函数
同时满足如下三个条件:
①对任意
都有
;
②当
时,
;
③
.
(1)计算
的值;
(2)证明
在
上为减函数;
(3)有集合
,
问:是否存在点
使
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ba4c1c25324a8875b09d0c855a82ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49f899086e636caaed2075a2c7b924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bea6d14c16f7c06e4e028f36131360.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ed85d47b4f488a9b5e211938cc5424.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f82d7c68f10d3b6f065304ec67f160.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(3)有集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f334bd3fdd58a808bba8cacf336c63cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c4bac36d0869c1353b7d97f4f7d022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116b713cd1ae96520d05c54882463f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90526e1357becfdcd1b87caeff7ee032.png)
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名校
解题方法
7 . 已知函数
是定义在R上的奇函数,其图象经过点
.
(1)求实数
,
的值并指出
的单调性(不必证明);
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412242f68a30b1099aa3f56b1e806eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64e8f8505ae8d4e3fa214e588c710d.png)
(1)求实数
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672e7080c77d9811dd7482380e0d94f0.png)
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解题方法
8 . 已知二次函数
满足:
,不等式
的解集为
,函数
,
.
(1)求函数
解析式;
(2)证明;函数
为单调递增函数.并求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46305fedfb17a208a8b4cab7ebceddfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99839290ccd42c26f1c391aa36e787e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6e28dbfcdd6fb66b9ff759be044287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979fbc31753da4b726261fc362a268bf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明;函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
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9 . 已知函数
的定义域为
,并且满足下列条件:
①
;②对任意
,都有
;③当
时,
.
(1)证明:
为奇函数且在R上单调递减;
(2)若
对任意的
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492269c463a2dd4cde7abbaac3e4a64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d957d0e57a6ba2f1cec3c847cd5dbcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7c665562a0488434cc90a775efb824.png)
您最近一年使用:0次
名校
解题方法
10 . 函数
对任意实数
恒有
,且当
时,
.
(1)判断
的奇偶性;
(2)求证:
是
上的减函数;
(3)若
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be8e8e51ff9cf43529a75ce031f8865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/130ea481fadd167c198f6855bba2f654.png)
您最近一年使用:0次
2023-11-03更新
|
1520次组卷
|
3卷引用:湖北省荆州市沙市中学2023-2024学年高一上学期11月期中数学试题
湖北省荆州市沙市中学2023-2024学年高一上学期11月期中数学试题广东省深圳市深圳大学附属实验中学2023-2024学年高一上学期期中数学试题(已下线)5.4 函数的奇偶性-【题型分类归纳】(苏教版2019必修第一册)