名校
解题方法
1 . 已知函数
,曲线
在
处的切线与直线
相交于点
,其中
自然对数的底数.
(1)求实数
的值并证明:当
时,
;
(2)已知数列
满足
,
,设
,求
(其中
表示不超过
的最大整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2162093f21f67620ded2267f0cb257ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c81965854dbe52a513241f196edf2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6020314e844385b272aeec45d7706dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d395bb6aee166d257feaab3f9661c772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad56439b3dd50694e5c9f473d2c1a875.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4318a47d7e83d587e74bab4d3d1f6883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030b114b5c4e16af05324ac5ff86a163.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ca1817b699a93096d71c151a529863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f46256d1148076e997c07899778eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
2 . 已知数列
满足
,
,
,记
,
分别是数列
,
的前
项和,证明:当
时,(1)
;(2)
;(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab335212fe8d8b99d3cf35c5db14c36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7118a8dab6f8e5346ebc3788cea66e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1254070260067f8bf2fec39a7d0c8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461213d375554bfe8641284dc283383f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c3b913993e1ae3ecca430abc73b43c.png)
您最近一年使用:0次
2017-02-08更新
|
1442次组卷
|
3卷引用:安徽省合肥市四校2019-2020学年高二上学期开学考试数学试题