解题方法
1 . 一般地,设函数
在区间
上连续,用分点
将区间
分成
个小区间,每个小区间长度为
,在每个小区间
上任取一点
,作和式
.如果
无限接近于0(亦即
)时,上述和式
无限趋近于常数
,那么称该常数
为函数
在区间
上的定积分,记为
.当
时,定积分
的几何意义表示由曲线
,两直线
与
轴所围成的曲边梯形的面积.如果
是区间
上的连续函数,并且
,那么
.
(1)求
;
(2)设函数
.
①若
恒成立,求实数
的取值范围;
②数列
满足
,利用定积分几何意义,证明:
.
![](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/2779faf49c4c603fdb73ef6f03cc8d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d62698894cd2008bc718645dc5615e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058b6a24dd8207a5bb15af23b536fbf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80ab9d17c90844401100376fa2713d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2edc4a53872c30616bca5f3f7ee67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1268e217016ff7e12b9bc51341c4cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a107eb946e0fe41629c644b7628d5cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.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/8930c962e3b094e1ee2a99c8cc44cead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4eab9145ec5e13b0ae21c135a5b625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436ff3cf58de28b55f7605675a47d818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/83d4d758bac9a7272c1d40a5ea4176c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d5365888545b29d3850a5eca1b0e54.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb480d935f37cfe76dcb6dcb25a5fb3.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0216d4ec1601bfbc0c642a78491c02.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a48eebe55c30519af8dbc50512a3f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49afef24cbe3b97b62488510ef5168b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c9d14bfa527b5ba538cc3960e9396f.png)
您最近一年使用:0次
解题方法
2 . 在
二项展开式中
的系数为15,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834f4f76dd9b0ba7f642c3f251a68803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e79d6952a91739324f4a5b7af88aa5a8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次