2000 年

If $A=\dfrac{h}{2}(a+b)$, then $b=$

Factorize $x^2-x-xy+y$.

Simplify $\dfrac{(a^3b^{-1})^{-2}}{(a^{-1}b^2)^4}$.

Let $f(x)=3x^2+ax-7$. If $f(-1)=0$, find $f(-2)$.

If $\begin{cases}y=x^2-1\\y=2x-2\end{cases}$, then $y=$

Find the values of $x$ which satisfy both $x+3>0$ and $-2x<1$.

In the figure, a square of side $x$ cm is cut into $9$ equal squares. If the total perimeter of the $9$ small squares is $72$ cm more than the perimeter of the original square, then $x=$

The figure shows a trapezium of area $6\text{ cm}^2$. Find $x$.

Let $f(x)=x^3-2x^2-5x+6$. It is known that $f(1)=0$. $f(x)$ can be factorized as

If $3x^2+ax+7\equiv3(x-2)^2+b$, then