∵函数y=f(x)(x∈R)满足f(x+3)=f(x+1),
∴函数y=f(x)(x∈R)是以2为周期的周期函数,
又∵当x∈[-1,1]时,f(x)=x2,
我们可以在同一坐标系中画出函数y=f(x)与函数y=log7x的图象,如下图所示:
由图可知y=f(x)与y=log7x的图象的交点个数为6个
故选D
已知函数y=f(x)(x∈R)满足f(x+3)=f(x+1)且当x∈[-1,1]时,f(x)=x2,则y=f(x)与y=log7x的图象的交点个数为( ) A.3 B.4 C.5 D.6
已知函数y=f(x)(x∈R)满足f(x+3)=f(x+1)且当x∈[-1,1]时,f(x)=x2,则y=f(x)与y=log7x的图象的交点个数为( )
A. 3
B. 4
C. 5
D. 6
A. 3
B. 4
C. 5
D. 6
数学人气:442 ℃时间:2019-12-07 21:49:24
优质解答
我来回答
类似推荐
猜你喜欢
- 1what does this word mean?改为同义句 what___you___ ___this word?
- 2I was played football with my friends.怎么改错
- 3凸透镜能放大物体吗?
- 4I can't play football in the rain.I can't hiking,_____.(either/too)
- 5如果分式a/b=2,则a的平方-ab+b的平方/a的平方+b的平方
- 6英语翻译
- 7妈妈详细地经常了解我的学习情况 修改病句
- 8mr先生怎么发音
- 9关联词造句:不仅……反而……
- 10我昨天不在是 I wasn't here yesterday 还是 I weren't here yesterday?