2000 年

In the figure, the graph of $y=f(x)$ intersects the $x$-axis at $P$ and $Q$ only. In order to find a root of $f(x)=0$ using the method of bisection, which of the following intervals can you start with? I. $-1<x<0$ II. $-1<x<1$ III. $1<x<2$

According to the figure, which of the following represents the solution of $\begin{cases}0\le x\le4\\x\ge y\\0\le y\le3\end{cases}$ ?

In the figure, $ABCDEF$ is a right triangular prism. It is cut into two parts along the plane $PQRS$, which is parallel to the face $BCDF$, and $AP:PB=2:5$. Find $\dfrac{\text{volume of the prism }APQRES}{\text{volume of the prism }ABCDEF}$.

$\pi$ degrees $=$

In the figure, $AB$ is tangent to the circle at $B$. Find $\angle DCE$.

In the figure, $\overset{\frown}{AB}:\overset{\frown}{BC}:\overset{\frown}{CD}=2:1:3$. Find $\angle ADC$.

The bar chart below shows the distribution of scores of a test. Find the mean deviation of the scores of the test.

If the centre of the circle $x^2+y^2+kx+(k+1)y-3=0$ lies on $x+y+1=0$, find $k$.

If the straight line $y=mx+1$ is tangent to the circle $(x-2)^2+y^2=1$, then $m=$

$A(-1,-4)$ and $B(3,4)$ are two points. The line $x-y=0$ cuts $AB$ at $P$ so that $AP:PB=r:1$. Find $r$.