Re: [問題] 高一 數與坐標系
※ 引述《abc55081423 (阿堂)》之銘言：
: 其實不知道要不要PO在這裡...
: 畢竟高中板現在....(你們知道的...)
: 所以還是PO在這好了
: ----------------------------------以上為廢話------------------------------
: (騙P幣的...)
: 最近在複習高一上的數學
: 看到一題...卡卡的(我卡很久...)
: 設a,b,c皆為自然數,若2a+2b-3c=0,2a-4b+c=0,且(a,b,c)+[a,b,c]=1830
: 試求a,b,c的值為______________
: 順便問一下...英文不用複習嗎?
: 我問老師，老師叫我繼續看就好
: 就是一直看進度跟其他課外書
: 暑假作業的小說，雜誌(空英,advance)等等
: 可是真的不用複習嗎= =?
2a+2b-3c=0----<1>
2a-4b+c=0-----<2>
<1>-<2>
=>6b=4c
=>b:c=2:3
把<1>x2 + <2>
=>6a=5c
=>a:c=5:6
a: :c
b:c
---------
5 6
2 3
=> 5 6
4 6
=>a:b:c=5:4:6
設a=5k
b=4k
c=6k
lcm=60k
gcd=k
=>61k=1830,得k=30
=>a:b:c=5:4:6
=150:120:180
得
a=150
b=120
c=180
報告完畢 (讓我賺個p幣>"<)
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