名校
1 . 当x∈R,|x|<1时,有如下表达式:1+x+x2+•••+xn+•••=![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ccc91de52641ad13f3ba1711e8b5e6.png)
两边同时积分得:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07c2f1ae6abfc7d958c384e3a2e5f09.png)
从而得到如下等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cb6e5e022e3ae5fc66bf17fe808979.png)
请根据以上材料所蕴含的数学思想方法,
由二项式定理Cn0+Cn1x+Cn2x2+•••+Cnnxn=(1+x)n计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9a15ea14bfea46488e1053d87c2bc8.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ccc91de52641ad13f3ba1711e8b5e6.png)
两边同时积分得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07c2f1ae6abfc7d958c384e3a2e5f09.png)
从而得到如下等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cb6e5e022e3ae5fc66bf17fe808979.png)
请根据以上材料所蕴含的数学思想方法,
由二项式定理Cn0+Cn1x+Cn2x2+•••+Cnnxn=(1+x)n计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9a15ea14bfea46488e1053d87c2bc8.png)
您最近一年使用:0次
2018-11-15更新
|
688次组卷
|
3卷引用:福建省漳州市2019届高三毕业班高考模拟(一)试卷数学(理)试题
11-12高三上·福建厦门·阶段练习
解题方法
2 . 已知函数
(
是自然对数的底数)
(1)求
的最小值;
(2)不等式
的解集为P, 若
且
,求实数
的取值范围;
(3)已知
,且
,是否存在等差数列
和首项为
公比大于0的等比数列
,使数列
的前
项和等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0107fb8d4cb3a9b6311fa639ca514b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f8ffb5afc3de70c4fcd054c492a6e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7729c3c3e86a2ee0c3f8edff8282178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c9f7fe82ce33779868c7e319a0133d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c0eda754a9ad60eadc8eb1b83d0d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5344eadd4711db34e3f935aedd5fb270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次