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[不等式] 某群看到一题

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realnumber Posted 2015-3-6 14:21 |Read mode
QQ图片20150306142052.jpg

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kuing Posted 2015-3-6 15:18
这不会是开玩笑吧,除了 0 到 45度 能确定之外,钝角以上的区间能解??

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 Author| realnumber Posted 2015-3-7 08:13
没,你都快解决了

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爪机专用 Posted 2015-3-7 08:26
回复 3# realnumber

???

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caijinzhi Posted 2015-3-7 10:09
利用函数f(x)=x^2015+2014x^2014的单调性吧

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 Author| realnumber Posted 2015-3-7 11:14
浙江何易阳: QQ图片20150305124500-1.png
这是QQ群看到的解答,只看了结果。





正如2楼怀疑的。这个解答应该错了,因为1楼不等式$\pi$代入成立,$\frac{3\pi}{4}$代入不成立。由初等函数的连续性可得,区间[$\frac{3\pi}{4}$,$\pi$]有部分是解,有部分不是解。看来题目有问题.

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wzxsjz Posted 2015-3-7 11:31
5#正确

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爪机专用 Posted 2015-3-7 11:57

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kuing Posted 2015-3-18 00:59
回复 5# caijinzhi

回复 7# wzxsjz

你们两个把过程写下去啊,别光说不动笔

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wzxsjz Posted 2015-3-18 16:32
Last edited by wzxsjz 2015-3-18 16:42构造函数
\\begin{align*}
f(x) & = x^2015+2014x^2014\\

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kuing Posted 2015-3-18 16:43
回复 10# wzxsjz

你先在纸上写好再说吧,我看你编辑N次贴子,我都累了

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wzxsjz Posted 2015-3-19 11:42
回复 11# kuing


    这一动笔,才知根本不是想的那么简单,要好好琢磨琢磨!以后要认真一些!在这里学到了做题以外的东西。谢谢kuing师!

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