若二次函数y=f(x)的图象过原点,且1≤f(-1)≤2,63≤f(1)≤4,求f(2)的取值范围.
人气:193 ℃ 时间:2019-11-15 07:00:21
解答
题目中 f(1) 应该 是 3≤f(1)≤4 吧!y=ax^2+bx+c因为二次函数y=f(x)的图象过原点,所以c=0,即y=ax^2+bx又因为1≤f(-1)≤2,3≤f(1)≤4,所以代入可得:1≤a-b≤2,3≤a+b≤4,两式相加可得2≤a≤3 f(2)=4a+2b,因为:3≤a...
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