配套习题- 等比数列常见性质的应用 -【青果学院】

1/3单选题

难度：

1.已知等比数列1，a²，9，…，则该等比数列的公比为（　　）

A	3或-3
B	3或
C	3
D

正确答案：Qw==

6Kej77ya55Sx6aKY5oSP5Y+v5b6XIDk9McOXYTxzdXA+NDwvc3VwPu+8jOKItGE8c3VwPjI8L3N1cD49M++8jOaVheWFrOavlOS4ujxpbWcgd2lkdGg9NDYgaGVpZ2h0PTQ1IHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvRkUvQ0YvckJBQ0UxTlExdE95NG92R0FBQUNBVG11S19VMjExLnBuZyI+IDxicj7mlYXpgIkgQy4g

2/3单选题

难度：

2.数列{a_n}是公比q≠1的等比数列，若其中a_m，a_n，a_p依次成等比数列，那么自然数m，n，p之间的关系是：（　　）

A	n²=mp
B	p²=mn
C	2n=m+p
D	2p=m+n

正确答案：Qw==

6Kej77ya5qC55o2u562J5q+U5pWw5YiX55qE5oCn6LSo77yM6IulIG3jgIFu44CBcOOAgXHiiIhOKu+8jOS4lG0rbj1wK3HvvIzliJlhPHN1Yj5tPC9zdWI+JiM4MjI2O2E8c3ViPm48L3N1Yj49YTxzdWI+cDwvc3ViPiYjODIyNjthPHN1Yj5xPC9zdWI+77ybPGJyPuKItWE8c3ViPm08L3N1Yj7vvIxhPHN1Yj5uPC9zdWI+77yMYTxzdWI+cDwvc3ViPuS+neasoeaIkOetieavlOaVsOWIlzxicj7iiLRhPHN1cD4yPC9zdXA+PHN1Yj5uPC9zdWI+PWE8c3ViPm08L3N1Yj5hPHN1Yj5wPC9zdWI+77yMPGJyPuKItDJuPW0rcDxicj7mlYXpgIlD

3/3单选题

难度：

3.若等比数列{a_n}满足a_n•a_n+1=9ⁿ，则公比q=

A	1
B	2
C	3
D	4

正确答案：Qw==

6Kej77ya5b2Tbj0x5pe277yM5Y+v5b6XYTxzdWI+MTwvc3ViPmE8c3ViPjI8L3N1Yj49Oe+8jOW9k249MuaXtu+8jGE8c3ViPjI8L3N1Yj5hPHN1Yj4zPC9zdWI+PTgx77yMPGJyPuebuOmZpOWPr+W+lzxpbWcgd2lkdGg9NTIgaGVpZ2h0PTQ2IHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvRkUvQ0YvckJBQ0UxTlExdEh6N0I5LUFBQUNUTXluSUtRODU3LnBuZyI+PTnvvIxxPcKxMy4gPGJyPuW9k3E9LTPml7bvvIznlLHnrYnmr5TmlbDliJfnmoTlrprkuYnlj6/lvpdhPHN1Yj4xPC9zdWI+YTxzdWI+Mjwvc3ViPu+8nDDvvIzmlYXoiI3ljrsuIDxicj7iiLTlhazmr5RxPTPvvIw8YnI+5pWF562U5qGI5Li6My4g