1993 年

If $\mathrm{f}(x)=10^{2x}$, then $\mathrm{f}(4y)=$

If $s=\dfrac{n}{2}\left[2a+(n-1)d\right]$, then $d=$

Simplify $\left(x^2-\sqrt{3}x+1\right)\left(x^2+\sqrt{3}x+1\right)$

Simplify $\dfrac{\sqrt{b}}{\sqrt{a}-\sqrt{b}}+\dfrac{\sqrt{a}}{\sqrt{a}+\sqrt{b}}$.

If $3x^2+ax-5\equiv(bx-1)(2-x)-3$, then

Find the greatest value of $3x+2y$ if $(x,y)$ is a point lying in the region $OABCD$ (including the boundary).

The diagram shows the graphs of $y=ax^2+bx$ and $y=cx+d$. The solutions of the equation $ax^2+bx=cx+d$ are

If $\log(p+q)=\log p+\log q$, then

The expression $x^2-2x+k$ is divisible by $(x+1)$. Find the remainder when it is divided by $(x+3)$.

If $3,\ a,\ b,\ c,\ 23$ are in A.S., then $a+b+c=$