1983 年

數學 · 共 49 題 · 點擊選項即時核對答案

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1.

6x2−9−5x2+x−6=\dfrac{6}{x^2-9}-\dfrac{5}{x^2+x-6}=

2.

1a3+1b31a+1b=\dfrac{\dfrac{1}{a^3}+\dfrac{1}{b^3}}{\dfrac{1}{a}+\dfrac{1}{b}}=

3.

If x=y2a2+bzx=\dfrac{y^2}{\sqrt{a^2+bz}}, then z=z=

4.

(x2y−1)÷(x12y−1)2=(x^2y^{-1})\div\left(x^{\frac12}y^{-1}\right)^2=

5.

The H.C.F. of a3−1a^3-1 and a4−1a^4-1 is

6.

When f(x)\mathrm{f}(x) is divided by (2x+1)(2x+1), the remainder is

7.

If α\alpha and β\beta are the roots of 2x2−3x−4=02x^2-3x-4=0, then α2+3αβ+β2=\alpha^2+3\alpha\beta+\beta^2=

8.

2x−3a−4>3x+5a+62x-3a-4>3x+5a+6 is equivalent to

9.

The sixth term and the eleventh term of an A.P. are 1010 and 3030 respectively. The first term is

10.

If 2x=3y=5z2x=3y=5z, then x:y:z=x:y:z=

數學 1983 年 DSE、CE 選擇題 | dselib