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工作学习 / 学科技术讨论 / 做题了，做题了：一个半径为 R 的球面上有 A, B, C 三个点。每两个点之间用球面上距离最短的线相连接。
-baffin(~噗嗤~);
2009-3-18
(#5124085@0)
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问题1：所有联线长度的和可能的最大值是多少？（难度系数：低）
-baffin(~噗嗤~);
2009-3-18
(#5124088@0)
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球体的周长，pai R平方
-binghongcha76(一只大猫);
2009-3-18
(#5124106@0)
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答得真快。可惜是错的。
-baffin(~噗嗤~);
2009-3-18
(#5124115@0)
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周长是2pai R
-ttc(O-O);
2009-3-18
(#5124124@0)
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嗯，是 2pai R，心里想的是周长，打出来就成了面积，笔误！
-binghongcha76(一只大猫);
2009-3-18
(#5124316@0)
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球体哪有周长
-jacobtour(小舟);
2009-3-18
(#5124314@0)
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俺怎么觉得是半周长
-c1xwy(洪兴罩俺去战斗);
2009-3-18
(#5124290@0)
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2pai R
-xbox360(big麻);
2009-3-18
(#5124299@0)
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问题2：如果有A, B, C，D四个点，问题 1 的答案是多少？（难度系数：中）
-baffin(~噗嗤~);
2009-3-18
(#5124093@0)
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1.5倍周长，3PAI R.
-ttc(O-O);
2009-3-18
(#5124134@0)
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wrong.How many lines did you take into consideration?
-baffin(~噗嗤~);
2009-3-18
{47}
(#5124288@0)
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那就是 4PAI R
-ttc(O-O);
2009-3-18
(#5124330@0)
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wrong
-baffin(~噗嗤~);
2009-3-18
(#5124384@0)
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难道你有不同的答案?
-xniang(123);
2009-3-18
(#5124558@0)
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Sorry, It was my fault. I think 4PiR is correct.
-baffin(~噗嗤~);
2009-3-19
(#5125958@0)
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bu know why is 4PiR
-xbox360(big麻);
2009-3-19
(#5126688@0)
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3.5pai
-jacobtour(小舟);
2009-3-18
(#5124343@0)
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wrong
-baffin(~噗嗤~);
2009-3-18
(#5124385@0)
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球体没有周长吧.
-clear(clear);
2009-3-18
(#5124393@0)
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2pai R + 3 R
-xbox360(big麻);
2009-3-18
(#5124302@0)
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wrong
-baffin(~噗嗤~);
2009-3-18
(#5124386@0)
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3.5 pai R
-xbox360(big麻);
2009-3-18
(#5124416@0)
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how do you get it?
-baffin(~噗嗤~);
2009-3-19
(#5126709@0)
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3点在赤道 （2PiR)，一点在北极 (1.5PiR)。
-xbox360(big麻);
2009-3-19
(#5126714@0)
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you are definitely wrong.
-baffin(~噗嗤~);
2009-3-19
(#5126783@0)
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actually i don't get it!!! where are your 4 pts.
-xbox360(big麻);
2009-3-19
(#5126819@0)
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hint6*2piR*2/3
-baffin(~噗嗤~);
2009-3-19
{10}
(#5126897@0)
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no idea, even if u change the hint to 6* 2PiR/3
-xbox360(big麻);
2009-3-19
(#5126950@0)
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3.5 pai R
-win(秋天的菠菜);
2009-3-19
(#5126690@0)
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问题3：把球换成边长为 L 的正方体，问题1，2 的答案是多少？（难度系数：中）
-baffin(~噗嗤~);
2009-3-18
(#5124095@0)
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2*(√2+1)L, 2*(1+√2+√5)L
-ttc(O-O);
2009-3-18
(#5124157@0)
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(1+√2+√5)L，2*(1+√2+√5)L
-ttc(O-O);
2009-3-19
(#5126403@0)
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2L + 2L*√2, 6*L*√2
-xbox360(big麻);
2009-3-18
(#5124310@0)
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I doubt your first answer.
-baffin(~噗嗤~);
2009-3-19
(#5126662@0)
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why not? 2点在对角on top, 1点在bottom center. So answer is 2 vertical+2diagonal.
-xbox360(big麻);
2009-3-19
(#5126769@0)
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Thus you are wrong. The lines that you choose aren't the shortest ones.
-baffin(~噗嗤~);
2009-3-19
(#5126792@0)
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我昨天犯了同样的错误，依次算出的结果应该是 (√2+√10)L。
-ttc(O-O);
2009-3-19
(#5126803@0)
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amazing, i believe ur calculation is correct for the 1st one.
-xbox360(big麻);
2009-3-19
(#5126835@0)
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how do you make sure the locations of points are correct?
-baffin(~噗嗤~);
2009-3-19
(#5126880@0)
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问题4：把球换成边长为的 L 正四面体，问题1，2 的答案是多少？（难度系数：低）
-baffin(~噗嗤~);
2009-3-18
(#5124097@0)
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3L,6L
-ttc(O-O);
2009-3-18
(#5124162@0)
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3L, 6L
-xbox360(big麻);
2009-3-18
(#5124349@0)
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问题5：（难度系数：高。）设计一个或多个计算机算法解决上述问题。
-baffin(~噗嗤~);
2009-3-18
{38}
(#5124103@0)
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Easy......outsource to Rolia
-wireless_mouse(无线小滑鼠);
2009-3-18
(#5124238@0)
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can we know the rate ?
-vetra(豆泡果 之 多泡泡);
2009-3-18
(#5124291@0)
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解决个球
-win(秋天的菠菜);
2009-3-19
(#5126701@0)
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太无聊了。我都不会。打完哈欠，走了。
-ignoreme(别当真);
2009-3-18
(#5124395@0)
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+1
-hungrybee(无所事事的小机灵);
2009-3-18
(#5124435@0)
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生活中那么多重要的事情。拍老板马屁啦；搞点艺术创作啦；和老情人叙叙旧啦；减点肥加点磅啦～～哪个不比这个有意义？
-ignoreme(别当真);
2009-3-18
(#5124446@0)
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青菜萝卜。
-kingsw(Steven);
2009-3-19
(#5126406@0)
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咸鱼白菜
-hungrybee(无所事事的小机灵);
2009-3-19
(#5126670@0)
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你怎么不在望子成龙玩了却跑这里来给人挫败感了啊？
-wangqingshui(忘情水);
2009-3-19
(#5126721@0)
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你不是已经成龙了吗? ^_*不是为了给人挫败感．有些问题我也不会，这不是来请教高人来了么？
-baffin(~噗嗤~);
2009-3-19
{62}
(#5126811@0)
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现在国内流行奥数，你这些是不是奥数题阿。
-ttc(O-O);
2009-3-19
(#5126812@0)
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这个问题是自己想的。绝对原创。你是史上第一批回答这个问题的人。问题3我尚未找到明确答案。
-baffin(~噗嗤~);
2009-3-19
(#5126858@0)
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附加题，如果朝鲜小金打算用导弹打击美国，打向哪些目标城市的导弹会经过多伦多？
-heater(乌鸡六兽);
2009-3-19
(#5126877@0)
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导弹的误差范围是多少呢？
-wangqingshui(忘情水);
2009-3-19
(#5127617@0)
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where he will launch the MIS? underwatre, close to coast?
-ineaton(AN);
2009-3-19
(#5127765@0)