高中数学的函数定义域,对应法则相同则定义域相同?

2025-03-29 19:30:27
推荐回答(4个)
回答1:

我就拿这题为例来讲,首先我们设x^2-1为a,那么如果我设f(x)中的x=a的话,由于f(x)的定义域为[0,2]而现在的自变量为a,那么0<=a<=2,现在我们把a=x^2-1,那么就得0<=x^2-1<=2
所以f(x^2-1)的定义域为[0,2],,高中数学需要的是一种整体的思想,比如这道题如果做熟了,自己设x=x^2-1即可得出答案,不过你如果你没做熟千万别这样,否则会晕

回答2:

两个函数如果定义域和对应法则完全相同就称为同一函数,根据这个定义可以判断定义域不同肯定不是同一函数。对应法则不同也肯定不是同一函数。只有定义域和对应法则都相同的两个函数才是同一函数

回答3:

呵呵,定义域永远是对X而言,f(x)定义域是[0,2]是条件,f(x^2-1)的定义域是结论

回答4:

就是让f作用的函数也就是括号内的东西大于0小于2

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