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[函数] 恒成立问题

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lrh2006 posted 2020-7-1 08:12 |Read mode
Last edited by lrh2006 2020-7-1 08:21 T22(1).png
请教各位,谢谢啦

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TTAANN001 posted 2020-7-1 12:02
这个应该画图像处理吧,|a+|x-b||的图像恒在||x|-2|x-1||的图像之上?

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TTAANN001 posted 2020-7-1 12:09
然后(a+b)min=2?

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facebooker posted 2020-7-1 13:08
Last edited by facebooker 2020-7-1 16:40我第一次做的时候用的必要性探路 啥图都没画。几步就完事了

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realnumber posted 2020-7-1 13:25
用图象法,在(a,b)在射线x+y=2,会有最小值,此时a=2/3,b=4/3
ttt.JPG

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kuing posted 2020-7-1 14:02

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original poster lrh2006 posted 2020-7-3 15:27
谢谢大家

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original poster lrh2006 posted 2020-7-3 15:29
这里果然是宝藏,哈哈哈

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