名校
解题方法
1 . 已知奇函数
的定义域为
.
(1)判断函数
的单调性,并用定义证明;
(2)若实数
满足
,求
的取值范围;
(3)设函数
,若存在
,存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9f333cee2ccb2b215d93011a162f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591c834eb8bd3d34fdad403152ae85db.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8234aaf7d0089aab17c5e999e35cfd55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f9d7da5ef0d6b11a30f706f748b7d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2261a56462765bd5b87670ebb8949930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204e6006eacca1a448fe6991f3c121f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)利用函数单调性的定义,证明:
在区间
上是增函数;
(2)已知
,其中
是大于1的实数,当
时,
恒成立,求实数
的取值范围;
(3)当
,判断
与
的大小,并注明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2cab732f2937104d04a0a40d7efbf66.png)
(1)利用函数单调性的定义,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516411862c4dc7ceac5d36510d460d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e884ea16357b019cb4be0fe722de69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04bd9759565e4cd93839a2ce2b31b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2226e39e890e8d985f6fdfe478827400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda584797f3f952ac549b8bb0d76a660.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
满足:对
,都有
,且当
时,
.函数
.
(1)求实数m的值;
(2)写出函数
的单调区间(无需证明),若
,且
,求x的取值范围;
(3)已知
,其中
,是否存在实数
,使得
恒成立?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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c68e603ad17bf72634d2cc6d785ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c12ba38f52af2eaf4ca33d35f1ffa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c69e69355b35dc46696d48aa709b98.png)
(1)求实数m的值;
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224c6ef3639371366a157606da5a046f.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1cc53d15c6794e789d72f76b5c1d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de535172010550ecee49cfcbfd752897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
是定义域为
的奇函数,且
.
(1)求
的值,并判断和证明
的单调性;
(2)是否存在实数
,使函数
在
上的最大值为
,如果存在,求出实数
所有的值;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938c6c05523930bb5c3047e9ef8212cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fbec93189276445b83c6df4e9f4866.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336b9a4ab6dcca0a3d03a9a47476309e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4031165344bfe00d56be6a07243cf27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
5 . 已知定义在
上的函数
恒成立,
(1)求
的取值范围
(2)判断关于
方程
在
上是否有实根?并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fb1cc3f3957d39aa3947fce237c809.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65cbc5d46383d0d61dfd16d36fc2d39f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c164755dc2d7cff80fb4c9cffc9be.png)
您最近一年使用:0次
名校
6 . 若
是奇函数.
(1)求
,
的值;
(2)记函数
,求函数
的单调递减区间(不需要证明);
(3)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12801b8a1f25a3dec28cb787c9c026d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e407583333a95b6cfd8bd5410280d99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8083688e154a702e3b0893bc8d6a00a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 若函数
在定义域
上满足
,且
时
,定义域为
的
为偶函数.
(1)求证:函数
在定义域上单调递增.
(2)若在区间
上,
;
在
上的图象关于点
对称.
(i)求函数
和函数
在区间
上的解析式.
(ii)若关于x的不等式
,
对任意定义域内的
恒成立,求实数
存在时,
的最大值关于a的函数关系.
![](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/dea20bf4103d4a86ce2dedc8cbf73498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d991a665834f1957063731202084570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c01b3dea6d0449097da0edc9130ef2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b577bf976fc3acd92b4af89be960359f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e110165a664ac7a77e70a6a46078602b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
(i)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d991a665834f1957063731202084570.png)
(ii)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2846c1cedbe564d20873d2b4d6f426aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6232dc74b15e4acb0ac3482a1cbe6a52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157416e0bb98baff8059b9ef0e123ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-12-14更新
|
943次组卷
|
6卷引用:福建省福州市九师教学联盟2023-2024学年高一上学期1月联考数学试题
福建省福州市九师教学联盟2023-2024学年高一上学期1月联考数学试题山东省德州市万隆中英文高级中学2023-2024学年高二下学期6月月考数学试题辽宁省大连市2022-2023学年高一上学期期末数学模拟试题(已下线)高一上学期期末考试解答题压轴题50题专练-举一反三系列江西省上饶市广丰区丰溪中学2023-2024学年高一上学期期末模拟数学试题(已下线)高一数学开学摸底考 01-人教A版2019必修第一册全册开学摸底考试卷
解题方法
8 . 已知函数
且
是偶函数.
(1)求
的值;
(2)判断函数
在
的单调性,并用定义证明;
(3)若
,且
对
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e68b7bd8fbe60d49b0b47f62260f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e92f84b632e2055cff919a01f4a057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a80558989d4c27e6681a8c3b7dffa4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
9 . 已知函数
为奇函数.
(1)求实数
的值,判断函数
的单调性,给出证明;
(2)若存在
,使
在区间
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c31230aac020a87222b4f54b7c25bc4.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b18edc6e2cea33c80b980949ed7d54f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31e72421c0d65e00edb2acce12abffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662eb5bfdd3da792b21d9f9e0bf2bc20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
10 . 已知定义域为
的函数
为奇函数.
(1)求函数解析式
(2)证明函数单调性
(3)若关于
的不等式
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c36b75e4dc267e04921a9d049edc9a.png)
(1)求函数解析式
(2)证明函数单调性
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1df4bbc7c5d2d23e20efac67771482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-12-13更新
|
609次组卷
|
5卷引用:上海市闵行第三中学2023-2024学年高一上学期12月月考数学试题
上海市闵行第三中学2023-2024学年高一上学期12月月考数学试题(已下线)单元高难问题03函数恒成立问题和存在性问题-【倍速学习法】(沪教版2020必修第一册)(已下线)专题14函数的基本性质-【倍速学习法】(沪教版2020必修第一册)(已下线)专题04 指数函数与对数函数3-2024年高一数学寒假作业单元合订本内蒙古赤峰市林西县第一中学2023-2024学年高一上学期期末测试数学试题(A)