3.將一條長度為1的線段切成11小線段,且每條線段的長度都不大於a。若從這11小線段中任選三條線段都可以構成一個三角形,請問a的可能值為何?(四分)

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引用:

s87009812 寫道:
引用:

ej0cl6 寫道:
我寫1/11≦a <1/10


剛剛發現: 你的答案應該是對的...

唉唉,只剩2題有分數了....最多也只能30幾分..

我一開始看到你們的答案還嚇了一跳,本來以為我寫錯了....還好沒有錯..
1/11 =< a < 1/10
:-D Very Happy
:-) Smile
:-( Sad
:-o Surprised
:-? Confused
8-) Cool
:lol: Laughing
:-x Mad
:-P Razz
:oops: Embaressed
:cry: Crying (very sad)
:evil: Evil or Very Mad
:roll: Rolling Eyes
;-) Wink
:pint: Another pint of beer
:hammer: ToolTimes at work
:idea: I have an idea
:zzz: sleepy
:drum: drummer
:pika: pika eat
:bathroom: bathroom
:birthday: Happy birthday
:lspeak: loud speaking
:drunk: drunk
:tired: I love coffee?
:simpson: simpson
:look: spy looking
:new: newbie
:notice: Don't ignore me!
:fight: star wars
:smoking: smoking
:help: help
:want: want
:-D Very Happy
:-) Smile
:-( Sad
:-o Surprised
:-? Confused
8-) Cool
:lol: Laughing
:-x Mad
:-P Razz
:oops: Embaressed
:cry: Crying (very sad)
:evil: Evil or Very Mad
:roll: Rolling Eyes
;-) Wink
:pint: Another pint of beer
:hammer: ToolTimes at work
:idea: I have an idea
:zzz: sleepy
:drum: drummer
:pika: pika eat
:bathroom: bathroom
:birthday: Happy birthday
:lspeak: loud speaking
:drunk: drunk
:tired: I love coffee?
:simpson: simpson
:look: spy looking
:new: newbie
:notice: Don't ignore me!
:fight: star wars
:smoking: smoking
:help: help
:want: want
唉呀!在試場的時候不知道怎麼想的,沒想過要把分母縮小,答案就出來了,還直接把1/11翻倍成2/11,然後就慢慢縮小,不知道縮到什麼時候才算的出來,只好放棄啦...不過最小值我是有看出來啦,我是寫"因為有任何一段要再縮小就會有其他線段加長,所以平分一定是最小值",好像蠻蠢的 :-(