设
,函数
的表达式为
,函数
的表达式为
,
有四个零点,设为
.
(1)求实数
的取值范围;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62c784b8f8cbf813b5b65045d2ff8d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a3a24fd504e8d44f3bdb7d715a92ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2b6f27f15d72aa4075b17a7e235c2.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc85497da29f38f0b10ac220ee5bbefb.png)
更新时间:2023-01-19 15:14:33
|
相似题推荐
解答题-问答题
|
较难
(0.4)
解题方法
【推荐1】已知函数
.
(1)若
,求
的值域;
(2)对任意
,存在
,使得
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14cafbf38e9b4b4b3b1216e56aa3ce4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136b813b99e0e1514c9e3a0f66f29723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde047d00b2b6e7069f1db7059fb93a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eedb2d61fbaddfa27fc2250a6f61f0c1.png)
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解答题-问答题
|
较难
(0.4)
名校
解题方法
【推荐2】已知函数
,其中常数
.
(1)若函数
分别在区间
,
上单调,求
的取值范围;
(2)当
时,是否存在实数
和
,使得函数
在区间
上单调,且此时
的取值范围是
.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/ea96d9c85876681749d9091d2f82fa8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8af7bed124f00c8e19b52d028b4d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-证明题
|
较难
(0.4)
名校
【推荐3】已知
在定义域
上是连续不断的函数,对于区间
若存在
,使得对任意的
,都有
,则称
在区间
上存在最大值
.
(1)函数
在区间
存在最大值,求实数m的取值范围;
(2)若函数
为奇函数,在
上,
,易证对任意
,函数
在区间
上存在最大值M,试写出最大值M关于t的函数关系式
;
(3)若对任意
,函数
在区间
上存在最大值M,设最大值M关于t的函数关系式为
,求证:“
在定义域
上是严格增函数”的充要条件是“
在定义域
上是严格增函数”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3163bcf1c5498b0d3da118988e2f50c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27d2a29e7cd49c46023fee3fc48b06b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bb6324279df94decba955e04ccfa9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d765626473fb15692e64f922fa246b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d05ac307bb216c80d059e6ac9364858.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a8a971c8810b6e5e2c20df8a71e094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ed9f15fee06c59a93dd1fcbf668fa9.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66062dbd4978a7bb2fb9b9aabb898af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6be39b3530bf03f5428197c74ec9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c397bc9b321d027d9730e38ddc64ea0f.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6be39b3530bf03f5428197c74ec9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c397bc9b321d027d9730e38ddc64ea0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c397bc9b321d027d9730e38ddc64ea0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐1】对任意
,给定区间
,设函数
表示实数
与
的给定区间内整数之差的绝对值.
(1)当
时,求出
的解析式;当
,时,写出用绝对值符号表示的
的解析式;
(2)求
的值,判断函数
的奇偶性,并证明你的结论;
(3)当
时,求方程
的实根.(要求说明理由
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9aca65edb901f5aec45bda1ac03c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679c9edadb198dae2983e88f9ee58beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb561f161e9faa7b6dc7ed4642586a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d6f4a26632a96b4e6a0237d5fce851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b2de32177f5ebb64b38115356f388.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a423b2054424ad1b0081b91a1512a0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83d59b7b9ae8a4c88a87017a1bfb4a5.png)
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解答题-问答题
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较难
(0.4)
【推荐2】已知函数
,
(
)
(1)若函数
存在极值点,求实数b的取值范围;
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的单调区间;
(3)当
且
时,令
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(
),
(
)为曲线y=
上的两动点,O为坐标原点,能否使得
是以O为直角顶点的直角三角形,且斜边中点在y轴上?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6856a67fcb9a0f4b2cb74914bd9f13ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd9dfe838494badae6836fdd7376294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de648cd39338d48f2d22eb82a77b4839.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
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(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d138d053f5cf5a9d3b521d95010abc67.png)
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