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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
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國中數學函數的運算疑問
Aug 15th 2013, 10:19

第一個問題:已知臺北到高雄距離為L=360公里,假設火車從台北到高雄的平均速率為V=1.6公里/分鐘,請問:

(1)火車開出x分鐘後走了y公里,則y和x的關係式為_____(x > 0)。

Ans: y=V*x=1.6x


(2)火車從臺北開出經1小時40分後,距離高雄_____公里。

Ans: y=1.6*(60+40)=1.6*100=160(km)

360-160=200(km).....ans

第二個問題:設-2<=x<=6,且函數f(x)=2x-5,則:

(1) f(1/2)=2*(1/2)-5=1-5=-4


(2) f(10)=不存在(10>6超過範圍)


第三個問題:設函數f(x)=ax+b,且f(1)=5,f(3)=11,則f(2)=?
這題是把數字代進去嗎?代入後是否為f(1)=a+b=5。f(3)=3a+b=11。
是這樣算嗎?沒有自信會寫對!

Ans: 正確!!

解出 a=3, b=2 => f(x)=3x+2

So f(2)=3*2+2=8........ans

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