一道简单的数学题
看到@矢作萌夏 在主区发的贴子，我很感兴趣，于是随手再原创了一道题。很简单，路过的葱油不妨试试。
现在时间不早了，我先去睡觉，明天看到有人做出来了，我就点评一下。
已知1<a1<a2<a3，求证：
（a1-1）a3/(a1+a2)-a1^2/(a2+a3)+1/2>0
现在时间不早了，我先去睡觉，明天看到有人做出来了，我就点评一下。
已知1<a1<a2<a3，求证：
（a1-1）a3/(a1+a2)-a1^2/(a2+a3)+1/2>0
25 个评论
@Studebaker史刁碧嘉 你，苏联的骄傲，这道题应该看两眼就会了吧？
现在我将题目不等号左边的常数项的1换成了1/2，相当于给提示了，已经降低难度了。看看现在有没有人能做出来？
>>@Studebaker史刁碧嘉 你，苏联的骄傲，这道题应该看两眼就会了吧？
那个当年的骄傲的小少先队员已经给处决了，
现在剩下的那个小少先队员是僵尸复活（residual personality, rump state的那种），但是已经没有了数学的知识，最终导致我这个完整的人格显示出的数学水平是小学5年纪不到一点的水平......
我现在按照另一个人格的系统工程师分析，这只需要看（a1-1）a3/(a1+a2)-a1^2/(a2+a3)这部分要大于-0.5, 但是在我没有乘法能力的时候我是没有办法继续计算下去的......
(我现在刚刚写完charge paper)
>>我已给出答案在下面，你看，还是挺简单的吧？@矢作萌夏
很伤感，其实我已经无法理解了，
因为那一段我的人生，学数学的人格已经被小少先队员一起被枪毙了，替代者是个整天口交的腐朽堕落资本主义生活方式的放荡男孩：其实我的性欲并没有强烈到需要每周都和同学在学校里口交：这更多是因为那个叛逆人格反抗性压抑而已
>>很伤感，其实我已经无法理解了，因为那一段我的人生，学数学的人格已经被小少先队员一起被枪毙了，替代者是...
哎，不行啊，现在中国重点高中的竞赛班里随便拉个人都能解出这道题，别说这种简单题了，拿过去的IMO试题和中国国内决赛题做都不在话下；美帝的孩子们还在和我当时一样参加AMC12这种小儿科，美帝💊
了解了，我之前看过这个问题，但我数学退役10几年了就没有细看。我先收藏了，有时间我会解的。
(¬‿¬)
看起来还可以啊。不过我这次没有给你买，因为如果我现在买的话，大概率会在你来之前就给我和别人吃掉了
˚‧º·( 。ᗒ ‸ ◕✿)
但是我买了另一件不能吃掉的东西给你
(◕▿◕✿)
>>(¬‿¬)看起来还可以啊。不过我这次没有给你买，因为如果我现在买的话，大概率会在你来之前就给我和别人...
谢谢，非常感谢。你去的这个超市一看就是正宗的Euro Market，连正统的罗马软糖都有的卖。
>>什么君士坦丁堡罗马 (¬､¬)
Hellenic columns? Yes
Strong soldiers? Yes
Conquered the Armenians? Yes
Boys in Harem? Yes
So true Rome it is.
>>Hellenic columns? YesStrong soldiers? YesConquered...
Boys in Harem? Yes
Not something I would be proud to bring up....
Let it vanish then.... at least so such a thing in Muscovy
Certain things deserve to be dusted
>>Not something I would be proud to bring up.... Let...
Even the concept harem itself shall go away actually, no girls deserve to end up there neither.
>>Even the concept harem itself shall go away actual...
at least not altered, not as much, physically nor spiritually, thus one day could be freed.
you know what kind of damage is irreversible and enslaved forever
(◕︿◕
>>at least not altered, not as much, physically nor ...
Then if no castration is introduced, can you accept boys used for Harem.
>>Then if no castration is introduced, can you accep...
in the principle, such a system is form of the tyranny and no appreciation should be given, so it is a no.
but castration is another degree of cruelty I prefer not to think too deeply about. well, you know I study human sexuality, male study and abnormal psychology, and you bring it up now. Castration on males before adulthood is the worst form of massacre of humanity because it uses the abnormality to suppress the potential of humanity from inside out. Initially, it can be perceived as if nothing dramatic happens, if castration is conducted in a uneventful manner but the course change in personality is so deep and it is like cancer or rust: it develops from the most intimate fragment of the soul and corrodes within, and by the time the signs are observable, there only would be relics left of the much more enduring alternatives. In this light, I consider death as less painful.
Also there is something I try to think myself recently. As you are asexual, and that might have something to do with your academic achievements. Maybe the sexual urges, sexual tension, sexual drive within you (normally something pretty strong or wild among young males) did not exhibit as sexual activities in you at all, rather the energy is shown elsewhere: intelligence. It is a possibility and there are plenty of examples like this. John Money mentioned this half a century ago too.
I started to take medication for anxiety and one adverse effect, among many is the decreased libido. My libido took a strange, sharp decline and it feels mysterious. Equally mysteriously, I can think through a lot of things I couldn't otherwise before (as a normal, sexually charged male youth) and maybe this is another example of the low sexual activity and high intelligence.
Given this, I find castration may potentially hamper the intelligence of an individual, on top of the emotional well-being (which may deprives the resilience spirit as I previously mentioned few months ago) adding the tragedy of the after effects from castration, explaining my particular distaste over this practice. It is almost a forbidden practice among the civilized groups in this regard.
>>in the principle, such a system is form of the tyr...
I just found an artist on baraag.net who is also asexual but draws pornographic pictures of Luca and Alberto from that Disney film. And according to folks on the Internet, her art is thought not bad, sexually. 😮This is truly astonishing.
https://baraag.net/@nsfbek
>>I just found an artist on baraag.net who is also a...
Maybe the artist is just good at drawing. But I doubt about quite a few statements there.
Maybe she just likes to think about it. But from Disney film, oh well........
It would not be as odd to me if not two characters from Disney film. Frankly, not unlike myself before, when I used to be more sexually charged (before the adverse effects)
>>Maybe the artist is just good at drawing. But I do...
You know, if we do research on sex and objectively learn how it works, maybe no sexual desire is needed to create this kind of works.
>>You know, if we do research on sex and objectively...
research and scientific studies, of course no sexual desire would be needed.
but coming to her level of the creativity, I start to roll an eye (¬､¬)
it might get difficult to be this imaginative without some good motivations ◑.◑
アレクスくん
お遅くなってごめんね、
因数分解の過程を入力するのが不便だから
分解した結果だけ教えるね。
[(b-a)(c-a)]/2[(a+b)(b+c)]
ちょっとa1,a2,a3が見づらいからa,b,cに変えた、
分かってくれるとうれしい。
ここでc>b>a>0
だから
b-a>0
c-a>0
a+b>0
b+c>0
故にc(a-1)/(a+b)-a^2/(b+c)+1/2>0
証明成立
お遅くなってごめんね、
因数分解の過程を入力するのが不便だから
分解した結果だけ教えるね。
[(b-a)(c-a)]/2[(a+b)(b+c)]
ちょっとa1,a2,a3が見づらいからa,b,cに変えた、
分かってくれるとうれしい。
ここでc>b>a>0
だから
b-a>0
c-a>0
a+b>0
b+c>0
故にc(a-1)/(a+b)-a^2/(b+c)+1/2>0
証明成立
>>アレクスくんお遅くなってごめんね、因数分解の過程を入力するのが不便だから分解した結果だけ教えるね。[...
欢迎回来，okamiyu
我进行了通分，似乎不能得到
[(b-a)(c-a)]/2[(a+b)(b+c)]
这一结果？
另外，a^2指的是a的平方，我不确定这里会不会有误解。
>>欢迎回来，okamiyu我进行了通分，似乎不能得到[(b-a)(c-a)]/2[(a+b)(b+c)...
好久不见，アレクスくん
我应该没有误解，可能是我分解的时候搞错了什么，但我已经找不到我当时的草稿纸了。。。
我一直记得和你约定好要解这道题，无法解出来我感到很抱歉。