题文
1与5两数的等差中项是[ ]A.1B.3
C.2
D.
![1与5两数的等差中项是[ ]A.1 B.3C.2D. 1与5两数的等差中项是[ ]A.1 B.3C.2D.](https://www.mshxw.com/file/tupian/20210918/dc56bcf40ecd8e8143aa40ba2a487fc8.png)
题型:未知 难度:其他题型
答案
B解析
该题暂无解析
考点
据考高分专家说,试题“1与5两数的等差中项是.....”主要考查你对 [等差中项 ]考点的理解。 等差中项等差中项:
若a,A,b成等差数列,那么A叫做a与b的等差中项,且2A=a+b,即![1与5两数的等差中项是[ ]A.1 B.3C.2D. 1与5两数的等差中项是[ ]A.1 B.3C.2D.](https://www.mshxw.com/file/tupian/20210918/FtusUnrS5ea2tiGj0lpLjqtuWxop.jpg)
,反之,若![1与5两数的等差中项是[ ]A.1 B.3C.2D. 1与5两数的等差中项是[ ]A.1 B.3C.2D.](https://www.mshxw.com/file/tupian/20210918/FtusUnrS5ea2tiGj0lpLjqtuWxop.jpg)
,则a,A,b成等差数列。
等差数列中相邻三项之间存在如下关系:
(1)![1与5两数的等差中项是[ ]A.1 B.3C.2D. 1与5两数的等差中项是[ ]A.1 B.3C.2D.](https://www.mshxw.com/file/tupian/20210918/Fnh8EciQ1-vG_Zf2JdKL7_N5Z__m.jpg)
![1与5两数的等差中项是[ ]A.1 B.3C.2D. 1与5两数的等差中项是[ ]A.1 B.3C.2D.](https://www.mshxw.com/file/tupian/20210918/FpWSw8EFfwRD3E7i8U5uzHvzQ584.jpg)
反之,若数列中相邻三项之间存在如下关系:![1与5两数的等差中项是[ ]A.1 B.3C.2D. 1与5两数的等差中项是[ ]A.1 B.3C.2D.](https://www.mshxw.com/file/tupian/20210918/FgAe5We6FKCYP9q0qmJBzI1N9qtM.jpg)
则该数列是等差数列,
(2) 若a,A,b成等差数列,那么![1与5两数的等差中项是[ ]A.1 B.3C.2D. 1与5两数的等差中项是[ ]A.1 B.3C.2D.](https://www.mshxw.com/file/tupian/20210918/FjDvZWm0hVfsUjVDxsiXJoF-BUaA.jpg)
2A=a+b,A-a =b -A,a-A =A -b都是等价的.


