1 . 已知一元三次方程
的三个根分别为
、
、
,请类比一元二次方程的韦达定理的证明,给出一元三次方程的根与系数的关系并且给出相应证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccb3856fa5aa8dc822a593ec88ca2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
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20-21高一·江苏·课后作业
2 . 子集符号“
”与不等号“
”看起来很相似.“
”具有下面的性质:
如果
且
,那么
;
如果
且
,那么
.
试写出“
”相应的“性质”,并判断其正确性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b980d8446f130dfc405c196109e73ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8536a5ebd76f494c03019086506d8e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8536a5ebd76f494c03019086506d8e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798d6c2e5eac9c1d8b044efd5081acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed71b5f6cf02b7e4c52c1181669a3879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cb6e11f584b58e6b0eb0753c79258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798d6c2e5eac9c1d8b044efd5081acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c659396f6a0f72e213185b1ab2e198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
试写出“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b980d8446f130dfc405c196109e73ea4.png)
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