名校
1 . 试指出下列各组中,
是
的什么条件? 并证明(3)的结论.
(1)
,
;
(2)
,
;
(3)
,
关于
的方程
有两个实数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee1341c66dde7ae5ea7555fe6acd200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702e85a4a35c2aeacd8a4f6a5d59810d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038db1139d4a60869ede55b87beca9d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810ad137bcdad1a2798f4153b7fc7cd4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1527a7617d3b5a2a795a07457fdb339c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a32d7bc05d73366a3243b881e5ab669.png)
您最近一年使用:0次
2021-09-04更新
|
114次组卷
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2卷引用:江苏省南京市第十三中学2020-2021学年高一上学期9月月考数学试题
名校
2 . 已知无穷数列
,
是公差分别为
、
的等差数列,记
(
),其中
表示不超过
的最大整数,即
.
(1)直接写出数列
,
的前4项,使得数列
的前4项为:2,3,4,5;
(2)若
,求数列
的前
项的和
;
(3)求证:数列
为等差数列的必要非充分条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394d8b602b39602deee15b24181d1786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6812fe767ad55ac33946ca7ac80fa73e.png)
(1)直接写出数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6ec9a174e3792ce1a40310a21c378b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f41be870e84c819362787849770519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5e69a1736fce183c0227c991c14810.png)
(3)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c25b07fe756e6c37a703ca4a69fca8.png)
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