標題:

數學MC題

發問:

Which of the following is/are true for the formula 2C/a = a/(b^2) ? I. C is the subject of the formula. II. When a=2 and b=1, C=1. III. When b=4 and C=2, a=4 A. I only B. II only C. I and II only D. II and III only

最佳解答:

C. I and II only I. 2C/a=a/(b^2) 2C=[a/(b^2)]^a 2C=(a^a)/(b^2) C=(a^a)/(b^2)/2 C=0.5(a^a)/(b^2) II. 2(1)/2=2/(1^2) 2/2=2/2 1=1 L.H.S.=R.H.S. III. 2(2)/4=4/(4^2) 4/4=4/8 1=1/2 L.H.S.is not equal to R.H.S.

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其他解答:

A, I only. (i) II is wrong because LHS(Left hand side) =2/2 =1 RHS(Right hand side) =2/1 =2 LHS is not equal to RHS. (ii) III is wrong because LHS =4/4 =1 RHS =4/4^2 =4/16 =1/4 LHS is not equal to RHS. therefore the answer is A, I only.
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