阅读理解:
材料一:若三个非零实数x,y,z满足:只要其中一个数的倒数等于另外两个数的倒数的和,则称这三个实数x,y,z构成“和谐三数组”,例如三个实数
,3,4,因为
的倒数为
,而3与4的倒数和为
,所以三个实数
,3,4构成“和谐三数组”.
材料二:若关于x的一元二次方程
的两根分别为
,
,则有
,
.
问题解决:
(1)请你写出三个能构成“和谐三数组”的实数 ;
(2)若
,
是关于x的方程
(a,b,c均不为0)的两根,
是关于x的方程
(b,c均不为0)的解.求证:
,
,
可以构成“和谐三数组”;
(3)若A(m,
),B(m+1,
),C(m+3,
)三个点均在反比例函数
的图象上,且三点的纵坐标恰好构成“和谐三数组”,求实数m的值.
材料一:若三个非零实数x,y,z满足:只要其中一个数的倒数等于另外两个数的倒数的和,则称这三个实数x,y,z构成“和谐三数组”,例如三个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea928a9d8d28d3c80dc60a7fa107d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea928a9d8d28d3c80dc60a7fa107d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc0f4e88a98b2b25320e4bed691342b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6301a9317094dd71572ff70bff71cd6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea928a9d8d28d3c80dc60a7fa107d26.png)
材料二:若关于x的一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf501ed4f47a93c31200fb058eb3ce4f.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/f05dd02b6f561dcf94bab8a3160108d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897630dd340ec6c6b20cdd754d0a12c9.png)
问题解决:
(1)请你写出三个能构成“和谐三数组”的实数 ;
(2)若
![](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/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a8c973bf6d1fc096159e5cfbfe6b3f.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)
(3)若A(m,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9314bd1d7a6e070f4f2428f9a321804e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e11d5bff57e56ce82c2339f2d71ce.png)
21-22九年级上·广西防城港·阶段练习 查看更多[3]
广西防城港市防城港外国语学校2021-2022学年九年级上学期第三次月考数学试题(已下线)专题20反比例函数(3个知识点4种题型1种中考考法)-【帮课堂】2023-2024学年九年级数学上册同步学与练(北师大版)26.1.1反比例函数课后作业C层
更新时间:2022-09-02 09:56:16
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(1)当
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