奧數有幾題唔識做...

2010-02-06 4:44 am
1.父親今年的年齡是兒子的5倍,再過18年,父親的年齡是兒子年齡的2倍,那麼父親今年是幾歲?
2.某年4月所有星期六的日期數之和是54,這年4月的第一個星期六的日期數是什麼?
3.http://img205.imageshack.us/img205/3125/65383934.gif
4.http://img697.imageshack.us/img697/738/74066137.png

回答 (1)

2010-02-06 7:10 am
✔ 最佳答案
1. let father aged x , and son aged y ,

then x=5y and (x+18)=2(y+18)

=>x=5y and x=2y+18

=>5y=2y+18

=>3y=18 =>y=6 and x=5y=5*6=30//

2. let the date of that satuaday is x and as we know , one month has 4 weeks ,

then the dates are x , x+7 ,x+14 , x+28

=>x+x+7+x+14+x+21 = 54

=>4x+42=54

=>x=3 //



2010-02-05 23:14:37 補充:
4. x^3-1/x^3

=(x-1/x)[x^2+(x)(x/x)+(1/x)^2]

=x^2+1+1/x^2

=x^2-2+1/x^2+3

=x^2-2(x)(1/x)+(1/x)^2+3

=(x-1/x)^2+3

=1+3

=4//


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