1 . 已知函数
.
(1)求
在点
处的切线方程;
(2)当
时,证明:
;
(3)判断曲线
与
是否存在公切线,若存在,说明有几条,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf57022897780de0508c5d1789d183c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d04799b129d322fd93e0742069779800.png)
(3)判断曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
2 . 已知数列
,且
.若
是一个非零常数列,则称
是一阶等差数列,若
是一个非零常数列,则称
是二阶等差数列.
(1)已知
,试写出二阶等差数列
的前五项;
(2)在(1)的条件下,证明:
;
(3)若
的首项
,且满足
,判断
是否为二阶等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2249690697d2901e3baf1ff602c366cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c35794054f04d4e64d3d4a6b74d0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6edf2880e86d4c65a7df41fbfa401fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)在(1)的条件下,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f851c69e0dbe17614ff0f13e403a7b3c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046e2f8b2a8af0d40a7ef72e65885ea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
3 . 对于函数
,若在其定义域内存在
,使得
成立,则称函数
具有性质
.
(1)下列函数中具有性质
的有___________ .
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1f5396e33b33c0b548c132f78aa611.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca2cae24f8f820834704dec8fb42389.png)
③
,(
)
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d40624fc4d5a669a76185052ee6b8.png)
(2)若函数
具有性质
,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70553c9d6e344021e386af08bde75c74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)下列函数中具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1f5396e33b33c0b548c132f78aa611.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca2cae24f8f820834704dec8fb42389.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3f58722394cad3df7234b543be4587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d40624fc4d5a669a76185052ee6b8.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8ca8ea93e01e9e0f0c3e4aa5425448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-10-13更新
|
590次组卷
|
10卷引用:北京市怀柔区第一中学2022届高三10月月测数学试题