名校
1 . 先阅读参考材料,再解决此问题:
参考材料:求抛物线弧
(
)与x轴及直线
所围成的封闭图形的面积
进行n等分,得
个分点
(
),过分点
,作x轴的垂线,交抛物线于
,并如图构造
个矩形,先求出
个矩形的面积和
,再求
,即是封闭图形的面积,又每个矩形的宽为
,第i个矩形的高为
,所以第i个矩形的面积为
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1d974842b5582f88921047ba5404c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcacbd8526be563f15ce528439ef7fa.png)
所以封闭图形的面积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe13242e99f16afc3f6bc6b7c62787c6.png)
阅读以上材料,并解决此问题:已知对任意大于4的正整数n,
不等式
恒成立,
则实数a的取值范围为______
参考材料:求抛物线弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966d9dd819cba29980da3700422c2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fc40897b39d66665bc812631235ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7f1d158b6d34882f3668177e764c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e819b87f90651d89fcd258c276294e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc5c895153932c3e827a464664cef90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e06de381c46e58d40aaced29d9297e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b1a60ec9652a5e34798fbdf8ade205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c350e626893ba12c028b6c8bc4ea8d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57a5424d3e17b7a4acbb3c74107003a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd0620038d65f4672769ea4727b2a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1d974842b5582f88921047ba5404c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcacbd8526be563f15ce528439ef7fa.png)
所以封闭图形的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe13242e99f16afc3f6bc6b7c62787c6.png)
阅读以上材料,并解决此问题:已知对任意大于4的正整数n,
不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31407b97f2ec01d8ed77fd74462ca415.png)
则实数a的取值范围为
您最近一年使用:0次
2020-02-07更新
|
377次组卷
|
2卷引用:湖南省娄底市双峰县第一中学2023-2024学年高二下学期3月月考数学试卷
名校
2 . 已知函数
,且当
时,函数
取得极值为
.
(1)求
的解析式;
(2)若关于
的方程
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/2c8d2ce4bfd0a29eb7ab6821a85883f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef836708ff4f7ed21b7370fd028988b5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c6faa6281165de06a13969489439a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1c92c42188e3b2cb800d1186eab12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-07-18更新
|
597次组卷
|
9卷引用:湖南省长沙市长沙县市示范学校2023-2024学年高二上学期期末检测数学试卷
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