名校
解题方法
1 . 设
,且
为奇函数.
(1)求实数
的值;
(2)设函数
令
,求
;
(3)是否存在实数
,使得不等式
对任意的
及任意锐角
都成立?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20307753572f454e75fad537c2abe045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65db4c0a56617bcecb2e18972ea398bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65cec6370b6c583cc73a56f87599d0b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454a6172f81f59152304135fd1ddf36f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2020-08-01更新
|
220次组卷
|
3卷引用:浙江省9+1高中联盟2019-2020学年高一下学期期中数学试题
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839db61480bdff7829b8f6e822516748.png)
在
上的最大值和最小值分别为4和1.
(Ⅰ)求a,b的值;
(Ⅱ)设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8d1bd220ea2459535bfb158fda1e67.png)
,判断函数
的图象与函数
其中
(
)的图象交点个数,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839db61480bdff7829b8f6e822516748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9cd3690e7aa3debb1ed054a9f622da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44284ff1ea50429a0610e13363be6080.png)
(Ⅰ)求a,b的值;
(Ⅱ)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8d1bd220ea2459535bfb158fda1e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fcda91af10f8f23fb1f07c5dde218c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04b16fac5139d46b33024c3119d9c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b97b295f88972ba1c7e3cefda0885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b97b295f88972ba1c7e3cefda0885d.png)
您最近一年使用:0次
解题方法
3 . 已知函数
对任意
、
且
有
恒成立,函数
的图象关于点
成中心对称图形.
(1)判断函数
在R上的单调性、奇偶性,并说明理由;
(2)解不等式
;
(3)已知函数
是
,
,
中的某一个,令
,求函数
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba8542fbe02e78cf3948c9abea9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba9284e288f0123d484e53ec92cc353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f717ed84ec1eb6799420c789a88f591e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47fef9ca1981f1b6a08e7f6682ac8dab.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef091372f9b689acad54b718861a1f6f.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1305b9abebd7bef3171486df157286b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70264d1ff887edfe22ebc6fa518446b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a2c3b5be7efca00ee183b9d41f5aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2522f40b0ddb9335ac03e88657285993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7985d10eebc1abb5fea36eaf752af2.png)
您最近一年使用:0次
4 . 定义函数
,其中
为自变量,
为常数.
(Ⅰ)若函数
在区间
上的最小值为
,求
的值;
(Ⅱ)集合
,
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67625d791d57e780f56f7b5b8454679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅰ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737521fef4ad8f44bc9ee866d1a2f3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed48ccfc18bf0085f21fb0a982ba76b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09d9cb7b199785e4f5368f18e312eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf124b11ea8328b70e509ad673e050c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-07-16更新
|
968次组卷
|
5卷引用:浙江省杭州市2019-2020学年高一下学期教学质量检测数学试题
名校
5 . 已知函数
的定义域为
,值域为
,其中
.
(1)若
关于原点对称,求实数
的取值范围;
(2)试判断1是否在集合
内,并说明理由;
(3)是否存在实数
,使得对任意
,都有
成立?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6de958c30f5c9b5858681662d321cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)试判断1是否在集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47809f53e4dc821e7f3d0cfa4ef03cf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66727de73bdb89a3cce558372ca7301.png)
(1)若
,求函数
的零点;
(2)若不存在相异实数
、
,使得
成立.求实数
的取值范围;
(3)若对任意实数
,总存在实数
、
,使得
成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66727de73bdb89a3cce558372ca7301.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不存在相异实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13f276c8f99b97ad05bb7652ba2c43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13f276c8f99b97ad05bb7652ba2c43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9020280b36190cfa9a90e7a2eebfcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
7 . 某市开发了一块等腰梯形的菜花风景区
(如图).经测量,
长为
百米,
长为
百米,
与
相距
百米,田地内有一条笔直的小路
(
在
上,
在
上)与
平行且相距
百米.现准备从风景区入口处
出发再修一条笔直的小路
与
交于
,在小路
与
的交点
处拟建一座瞭望塔.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/3e755cfe-2bdf-4ae7-9592-418a7a634d61.png?resizew=241)
(1)若瞭望塔
恰好建在小路
的中点处,求小路
的长;
(2)两条小路
与
将菜花风景区划分为四个区域,若将图中阴影部分规划为观赏区.求观赏区面积
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec818fc0754296163206e1e8870f9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/3e755cfe-2bdf-4ae7-9592-418a7a634d61.png?resizew=241)
(1)若瞭望塔
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
(2)两条小路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)当
时,求函数
的单调区间;
(2)当
时,若函数
在
上的最小值为0,求
的值;
(3)当
时,若函数
在
上既有最大值又有最小值,且
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5dd9378570488460b8d1bb90ec4121.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbf87824dfbaed92184f190b6e1a493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2020-07-09更新
|
941次组卷
|
3卷引用:浙江省丽水市2019-2020学年高一下学期期末数学试题
浙江省丽水市2019-2020学年高一下学期期末数学试题(已下线)滚动练03 集合至函数及其表示-2020-2021年新高考高中数学一轮复习对点练浙江省温州市新力量联盟2021-2022学年高二下学期期末联考数学试题
9 . 已知函数
,
,
.
(1)若函数
存在零点,求
的取值范围;
(2)已知函数
,若
在区间
上既有最大值又有最小值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b9b1d29604d6123345f0950d88fa58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb82dce5907b307dafe426ef26dde9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9829ad49f32fb73dbde8d1d18ab3308e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e46c887599e769d04d03eda66d030e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1ed40a8f67e93401e544284ceaaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d6a738d2fe0a72fb2462cfc61ccf64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
,
.
(1)求
的解析式;
(2)设
,当
时,任意
,
,使
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d27488d357ba01651aabf47c3997d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b115040942ce88b0376aba6f17caf011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b69b993de78064f9bc0d0f95d5e6ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-05-31更新
|
669次组卷
|
3卷引用:江西省抚州市临川第一中学2019-2020学年高一下学期开学考试数学试题