[中學] 術接教材
1.a+b+c不等於0,設a+b+c,b+c-a,c+a-b,a+b-c成等比數列,且公比r,
則下列何者恆為真? (A)r^3+r^2+r+1=0 (B)r^3+r^2+r-1=0 (C)r=b/a
(D)r=c/b (E)r=a/c 。 答:E
2.若三相異直線L1:x+3y-6=0,L2:2x-y-5=0,L3:3x+ky-10=0將平面
分割成六個區域,則k值可能為? 答:9,-3/2,1
3.求720的正因數中,不大於720而與720互質的正整數總合為?
答:2^10*3^2*5
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