名校
1 . 函数
(
,
,
)的部分图像如图所示.
的解析式;
(2)求函数
的单调递增区间;
(3)将函数
的图像上的各点的纵坐标保持不变,横坐标伸长为原来的2倍,得到函数
的图像,若
时,
的图像与直线
恰有三个公共点,记三个公共点的横坐标分别为
,
,
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ae6678d22dc7b9125533b2c873b9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1734dcc7697235124fbaba4ba6033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc22711acd55161a5d42f0050f8d7130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a10c3b431d95bb70bacd0a793d5582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604215c53d7926f0c82920195a632c4a.png)
您最近一年使用:0次
2024-04-22更新
|
765次组卷
|
5卷引用:湖北省云学名校联盟2023-2024学年高一下学期3月联考数学试卷
名校
解题方法
2 . 设函数
,
,
.
(1)求函数
在
上的单调区间;
(2)若
,
,使
成立,求实数a的取值范围;
(3)求证:函数
在
上有且只有一个零点
,并求
(
表示不超过x的最大整数,如
,
).
参考数据:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89231f0078f75ad0193f9aec97b9286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa3e40a1b375c50331403283bfd7139b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0167434c2c1a16e59e89d436ac0a1278.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fc78bba43797d2f81cb912f2d05c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac0afd127806b03435a649606544fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe53bb5e833f83c2d8290d195fabf02b.png)
(3)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5e51f08fcfaa95b58f3a14c8250a38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41667e2986ec718cabeeb1088794ed67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04309e875209bde5b87438535ea3b1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977353e0326dc27334a2940f1149e973.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dad09268b7cb8bfcbea010cb6d2a29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e143d31a5ae4d2fb8cba2466bae1fe54.png)
您最近一年使用:0次
2024-01-06更新
|
656次组卷
|
6卷引用:安徽省合肥市合肥一中肥东分校2023-2024学年高一上学期期末数学试题
名校
3 . 已知函数,(其中
,
)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ee7c9b6c99c07c4299cbaf957317ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572bcf8a6fa788eb7fce7532a406fed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
4 . 设函数
,
,
.
(1)求函数
在
上的单调区间;
(2)若
,
,使
成立,求实数
的取值范围;
(3)求证:函数
在
上仅有一个零点
,并求
(
表示不超过
的最大整数,如
,
)
参考数据:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89231f0078f75ad0193f9aec97b9286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa3e40a1b375c50331403283bfd7139b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f2be8f1e796226f1b0fa95f6aea35d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fc78bba43797d2f81cb912f2d05c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac0afd127806b03435a649606544fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe53bb5e833f83c2d8290d195fabf02b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4c8c1a5aeff2b266cbc6948383216c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41667e2986ec718cabeeb1088794ed67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04309e875209bde5b87438535ea3b1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977353e0326dc27334a2940f1149e973.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881be613aa404e553da30d8987cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dad09268b7cb8bfcbea010cb6d2a29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e143d31a5ae4d2fb8cba2466bae1fe54.png)
您最近一年使用:0次