名校
解题方法
1 . 设a为实数,函数
,
(1)若
,求不等式
的解集;
(2)是否存在实数a,使得函数
在区间
上既有最大值又有最小值?若存在,求出实数a的取值范围;若不存在,请说明理由;
(3)写出函数
在R上的零点个数(不必写出过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36278f8f018d8a2977f2f5d4264f28bf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
(2)是否存在实数a,使得函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13ab8b869c80b4a4fbc7cb3d2edb26a.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f0be268c091289f25b2d4cb9f8f789.png)
您最近一年使用:0次
2020-02-29更新
|
623次组卷
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4卷引用:【市级联考】江苏省(通州区、海门市、启东三县)2018-2019学年高一上学期期末联考数学试题
19-20高一上·上海浦东新·期末
名校
2 . 已知函数
,其中
,
是非空数集且
.设
,
.
(1)若
,
,求
;
(2)是否存在实数
,使得
,且
?若存在,求出所有满足条件的
;若不存在,说明理由;
(3)若
且
,
,
单调递增,求集合
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228d39bd253b6309490b993bf2c546dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5eb03e97d9498bff9c3dfac271dad01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910a5a38ad76a3956d4fbb60018f5537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce46b6c06abe5d56b7e19f67363faa1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e524dec634a5e8db780f68fa1c3ed821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5724cf6c4fc340d8fb84bbe5fbcb60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b977aa808076972d9651b0bb6f3587b.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e270e5e488ded8f5eafb66f2df173692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b705d046e7fae44064427a61c5558d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525f894bd48d1634ac035205be132cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1997004ac72ebafff467930153a7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca05074e5a317ae45d073962bdf74dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ba3e4b3a2464076c4e2e6fd82d8ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
3 . 已知函数
.
(1)当
时,解不等式
;
(2)若关于
的方程
在区间
上恰有一个实数解,求
的取值范围;
(3)设
,若存在
使得函数
在区间
上的最大值和最小值的差不超过1,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab5c53352f3eafd25b5dbf4ee5bbbd6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f198f304b60422fb5065dcc742ab48a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6555c4166361c548b6f4f692d9a66cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93c82944db4a310a2047dd6d8966162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-28更新
|
696次组卷
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4卷引用:上海市曹杨二中2019-2020学年高一上学期期末数学试题
名校
解题方法
4 . 已知
,
,
.
(1)解关于
的方程
;
(2)设
,
时,对任意
,
总有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55186081d4f986cf93f59c7651c65a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20a9697425fff10f4928ef2498dc67c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f95c7813359ed007aa2be4904e9d29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c67a7e28dba059006021a2e2105f538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba145810f7d05dbe04bf9bcb37abec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a2ad4f4d28088eb6ef7ba3458229d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-02-28更新
|
688次组卷
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2卷引用:广东省汕头市金山中学2017-2018学年高一下学期期中数学试题
名校
5 . 已知函数
.
(Ⅰ)若函数f(x)的最小值为8,求实数a的值;
(Ⅱ)若函数g(x)=|f(x)|+f(x)﹣16有4个零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0172d6e960c3bb1ed779c001e9e316cf.png)
(Ⅰ)若函数f(x)的最小值为8,求实数a的值;
(Ⅱ)若函数g(x)=|f(x)|+f(x)﹣16有4个零点,求实数a的取值范围.
您最近一年使用:0次
名校
6 . 已知函数
是偶函数.
(1)求实数
的值;
(2)设
,若函数
有唯一的零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb17b82bda4775d92390909352409ff.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f17664495b0d0cd793ad169932ac335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-24更新
|
766次组卷
|
4卷引用:四川省乐山市2018-2019学年高一上学期期末数学试题
7 . 已知函数
,其中
为自然对数的底数.
(1)证明:
在
上单调递增.
(2)设
,函数
,如果总存在
,对任意
,
都成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b493a1557ab271024d0026d2203fef84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef58eb649b6d20935789175977c77bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8af73bbdedee43e2a99d06ee9c67b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba8542fbe02e78cf3948c9abea9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8a6ab0f521c14a67580b934ce6b41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-23更新
|
1130次组卷
|
4卷引用:广东省2019-2020学年高一上学期期末数学试题
广东省2019-2020学年高一上学期期末数学试题广东省云浮市2019-2020学年高一上学期期末数学试题(已下线)大题好拿分期中考前必做30题(压轴版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)(已下线)上海高一上学期期中【压轴42题专练】(2)
名校
解题方法
8 . 已知函数
.
(Ⅰ)对任意的实数
,恒有
成立,求实数
的取值范围;
(Ⅱ)在(Ⅰ)的条件下,当实数
取最小值时,讨论函数
在
时的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052b64049f4747e72832e57f9ce8a002.png)
(Ⅰ)对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaebe06cfa7250acf8ec55192a726313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)在(Ⅰ)的条件下,当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e72f0b7e93a6f63b91a5cc1f1e9a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9aa676fad54f444d64c488445c05c2.png)
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2020-02-20更新
|
1468次组卷
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5卷引用:福建省福州市第一中学2019-2020学年高一上学期期末数学试题
福建省福州市第一中学2019-2020学年高一上学期期末数学试题福建福州闽侯第一中学2019—2020学年高一上学期期末数学试题湖南省长沙市第一中学2021-2022学年高一下学期期中数学试题(已下线)期中测试·B卷-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)湖南省邵阳市第二中学2022-2023学年高一下学期期中数学试题
9 . 已知函数
.
(1)判断
的单调性并写出证明过程;
(2)当
时,关于x的方程
在区间
上有唯一实数解,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458c6ac03943fafecc972712f01864c7.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d113a273d12bc3b37d78c5a6f42b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
您最近一年使用:0次
名校
解题方法
10 . 已知定义域为
的函数
是奇函数,
为指数函数且
的图象过点
.
(1)求实数n的值并写出
的表达式;
(2)若对任意的
,不等式
恒成立,求实数t的范围;
(3)若方程
恰有4个互异的实数根,求实数a的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a473c915862fd5844f1c9bc6040d1d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad9d85bdc29cd88b292d4f49ea2f5f5.png)
(1)求实数n的值并写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4799629218b4b62ffa4082b96888e3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5946e8a6e0ddd44658ba81924077529.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00dc664af110e6a583e3909ba19e8ff.png)
您最近一年使用:0次
2020-02-19更新
|
744次组卷
|
2卷引用:四川省眉山市2019-2020学年高一上学期期末数学试题