题文
![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](https://www.mshxw.com/file/tupian/20210918/9784bd6b830f47a40cd9efec5468948b.png)
[ ] 题型:未知 难度:其他题型
答案
C解析
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考点
据考高分专家说,试题“ [ ].....”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![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](https://www.mshxw.com/file/tupian/20210918/FtusUnrS5ea2tiGj0lpLjqtuWxop.jpg)
,反之,若![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](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)![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](https://www.mshxw.com/file/tupian/20210918/Fnh8EciQ1-vG_Zf2JdKL7_N5Z__m.jpg)
![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](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:![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](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![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](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.


![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](https://www.mshxw.com/file/tupian/20210918/84f4ddeb7056c19941c9fbcb63f0b27c.png)
![[ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列 [ ]A.B.C.a,b,c成等比数列D.a,b,c成等差数列](https://www.mshxw.com/file/tupian/20210918/164fd79affa405cdd5c7aefc2447c324.png)
