1 . 已知
,
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3a1792c8a27289dcabe21bdee2b92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5e7c5ff57bd768667cf19834ab0682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62d712f7ded863e7695e0133e15a15c.png)
您最近一年使用:0次
2 . 已知
.求证:
三点共线的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d023fc87895b0f26477e890074e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7358ff8d99126de46113bb1c1c50f726.png)
您最近一年使用:0次
3 . 已知矩阵
.
(1)计算
;
(2)通过第(1)小题的计算猜想
的结论
;
(3)用数学归纳法证明你的结论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6e1b0671e5a92cfb1a5ad939962ad2.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6a5e6b0e2ecf059e35675f5276ea96.png)
(2)通过第(1)小题的计算猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab9d5b4d50800fadbec4246b28fd051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fc82353331abee0828dee9b38c08f2.png)
(3)用数学归纳法证明你的结论
您最近一年使用:0次
4 . 已知
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a553c24cd2c445cf565599857e9a46fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d990c409cc500b92649c0609219042d8.png)
您最近一年使用:0次
5 . 已知
,猜想![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ab31ac2f06680b6e138b0813c8be48.png)
________
,并证明之.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991b2a6a7f1adab601b2270a42ae4a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ab31ac2f06680b6e138b0813c8be48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d82e4c2294efbd33e1b268e9a0cec5.png)
您最近一年使用:0次
6 . 证明:(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce78582134b36df467f87ae3b4c13faf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9f732b79f743b5a40bc769a0b40694.png)
您最近一年使用:0次