名校
1 . 已知函数
,
.
(1)若
在区间
上不单调,求
的取值范围;
(2)已知关于x的方程
在区间
内有两个不相等的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1327cec2337e6c2394de386ffc7a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e4853570f29bdbff47a8a89a06452c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c7b74fd862d7e3f35e40ae1f626c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-01-11更新
|
556次组卷
|
2卷引用:广东省广州市第二中学2022-2023学年高一上学期期末数学试题
名校
解题方法
2 . 已知函数
,在区间
上有最大值2和最小值
,设
.
(1)求a,b的值;
(2)若
有三个不同的实数解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345bec8846b541a799770a4d04d751f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3029a39fe6d67da0c12f68fd19e155.png)
(1)求a,b的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a391160a9251f9991597f45c0d12096.png)
您最近一年使用:0次
3 . 已知函数
的图像向右平移
个单位长度得到
的图像,
图像关于原点对称,
的相邻两条对称轴的距离是
.
(1)求
的增区间;
(2)若
在
上有两解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27295aa29c3abde792752f31336976d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79261ae8cd9579ea1aa39a789d1a753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.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
4 . 已知函数
的部分图象如图.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/28/4344845b-19a9-449d-848d-1876437b55b6.png?resizew=159)
(1)求
的表达式;
(2)将函数
的图象向右平移
个单位长度得到曲线
,把
上各点的横坐标保持不变,纵坐标变为原来的
倍得到函数
的图象.若关于
方程
在
上有两个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be8d961fa1304cfed7d08311e7177d8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/28/4344845b-19a9-449d-848d-1876437b55b6.png?resizew=159)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d873ccbd26127bb543951eff8af9337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01dc2d99655cf7598837cb0886166ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-01-12更新
|
718次组卷
|
3卷引用:青海省西宁市第五中学2022-2023学年高一上学期期末数学试题
名校
5 . 已知指数函数
满足
.
(1)求
的解析式;
(2)设函数
,若方程
有4个不相等的实数解
.
(i)求实数
的取值范围;
(i i)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff1bd5b2a54dd2a75ef06da67134511.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fc80bf7788fa16d89e381455476c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3de7ba1d8ceff5bec47ae0636b6a3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
(i)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(i i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d131856631aca8c08e326881caf776.png)
您最近一年使用:0次
2023-01-10更新
|
948次组卷
|
3卷引用:江苏省南通市崇川区2022-2023学年高一上学期期末数学试题
名校
6 . 已知函数
对一切实数
都有
成立,且
.
(1)求
的值和
的解析式;
(2)将函数
的图象向左平移一个单位得到函
的图象,若
,且
,求
的取值范围;
(3)若
,关于
的方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43bd363a819f262f6932c06f9c55d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36976e38d87c60db8aedd7e46ac7415b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](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/15a0a547c81fe36ab8c3ea79622ce7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f188a2744cf6067759dd8a35fbfd4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817a48b819ab971e79bad7b20250294.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3109a3db9931922fda8851ab5875b915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3ff8b61540e3bd785d418f1a07befe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-12-02更新
|
585次组卷
|
3卷引用:上海市上海中学2020-2021学年高一上学期期末数学试题
7 . 已知
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf215cad1ce69cb0a94d311deb9cb50.png)
(1)若关于x的方程
的解集中恰有一个元素,求a的值;
(2)设
,若对任意
,函数
在区间
的最大值和最小值的差不超过1,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf215cad1ce69cb0a94d311deb9cb50.png)
(1)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8a39f7fb79a2ad7d0c25a95b0c47dd.png)
(2)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/2c217dc2c7aa1ca1f2230941e6688a5f.png)
您最近一年使用:0次
2022-11-13更新
|
300次组卷
|
4卷引用:期末模拟卷(B能力卷)-2022-2023学年高一数学分层训练AB卷(人教B版2019第一册、第二册)
(已下线)期末模拟卷(B能力卷)-2022-2023学年高一数学分层训练AB卷(人教B版2019第一册、第二册)浙江省浙南名校联盟2022-2023学年高一上学期期中联考数学试题(已下线)8.1 二分法与求方程近似解 (3)江苏省徐州市沛县四校联考2023-2024学年高一上学期12月月考数学试题
名校
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b5bc19044f837d215f8c387a9c8400.png)
(1)求
的最小值及对应的
的集合;
(2)求
在
上的单调递减区间;
(3)若方程
在
上有两个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b5bc19044f837d215f8c387a9c8400.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-12-11更新
|
989次组卷
|
3卷引用:甘肃省天水市第一中学2022-2023学年高一上学期期末数学试题
9 . 已知函数
的最小正周期为
.
(1)求
的值以及函数
的单调增区间;
(2)若方程
在区间
内有两个不同的解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fad278e51e07a1d4ae3b3b6121e1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e202311386b920f5b269ae0fda0c4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
10 . 设函数
.
(1)设
,
在
处取得最大值,求
;
(2)关于x的方程
在区间
上恰有12个不同的实数解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a91f2eded4c7902419872613b3e605d5.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7078557c3fc8ef649399f7a5ed0691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff0e5c78c04beea4e773185195da30.png)
(2)关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50b0180f2f8b840aa9ccf3710b2a9a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/779fcfa14ce81df982b26ba4971a451c.png)
您最近一年使用:0次
2022-06-13更新
|
478次组卷
|
2卷引用:广东省深圳实验学校高中部2023-2024学年高一上学期第三阶段考试数学试题