题文
7+3![7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7 7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7](https://www.mshxw.com/file/tupian/20210919/cf377d188962234f65a4ba71b81aa165.gif)
与7-3
![7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7 7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7](https://www.mshxw.com/file/tupian/20210919/7d6591b8c83985ee88976a61ddc3b3f4.gif)
的等比中项是
[ ]
A.2B.-2
C.±2
D.7 题型:未知 难度:其他题型
答案
C解析
该题暂无解析
考点
据考高分专家说,试题“7+3与7-3的等比中项是[.....”主要考查你对 [等比中项 ]考点的理解。 等比中项等比中项:
若数a,G,b成等比数列,那么就称G为a与b的等比中项,从而有G2=ab或G=±![7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7 7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7](https://www.mshxw.com/file/tupian/20210919/20111028133728001.gif)
。
等比中项的理解:
如果a,G,b三个数成等比数列,则有G2=ab.反之不一定成立.由等比中项定义可知:![7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7 7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7](https://www.mshxw.com/file/tupian/20210919/201312161549035211566.jpg)
, ![7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7 7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7](https://www.mshxw.com/file/tupian/20210919/201312161549036932393.jpg)
,
这表明,只有同号的两项才有等比中项,并且这两项有2个互为相反数的等比中项,当a>0,b>0时,G![7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7 7+3与7-3的等比中项是[ ]A.2 B.-2 C.±2 D.7](https://www.mshxw.com/file/tupian/20210919/20131216154904410983.jpg)
又叫做a,b的几何平均数。


