2002 年

If $\dfrac{x}{1+x}=\dfrac{a}{1-a}$, then $x=$

Let $\mathrm{f}(x)=x^2-x-3$. If $\mathrm{f}(k)=k$, then $k=$

$2^x\cdot 8^y=$

If $a<0$ and $b>0$, which of the following may represent the graph of $y=ax+b$ ?

The figure shows the graph of $y=x^2+bx+c$. Find $b$.

If $(x+1)^2+P(x+1)\equiv x^2+Q$, then

Which of the following equations has/have equal roots? I. $x^2=x$ II. $x^2+2x+1=0$ III. $(x+3)^2=1$

If $(x,y)=(-2,1)$ is a solution of the simultaneous equations $\begin{cases}ax-by+8=0\\ bx+ay+1=0\end{cases}$, then $a=$

Solve $(2x-1)^2+2(2x-1)-3>0$.

If $1$ Euro is equivalent to $6.94$ H.K. dollars and $1$ U.S. dollar is equivalent to $7.78$ H.K. dollars, how many Euros are equivalent to $100$ U.S. dollars? Give your answer correct to the nearest Euro.