1996 年

The figure shows the graph of $y=\dfrac{1}{2}\cos 2x$. The point $P$ is

If $0\le x\le\pi$, solve $2\sin x+3\cos x=0$ correct to 3 significant figures.

The figure shows a cube. Which of the following is/are equal to $\angle AGE$?

I. $\angle AGF$ II. $\angle BDF$ III. $\angle DEG$

In the figure, find $x$ correct to 3 significant figures.

In the figure, $O$ is the centre of the circle. Find $x$.

In the figure, $O$ is the centre of the circle. $PA$ is the tangent to the circle at $A$ and $CB\parallel PA$. Find $x$.

The figure shows a right circular cylinder with $AC$ being a diameter of its upper face. $AB$ and $CD$ are two vertical lines on the curved surface. A curve is drawn on the surface of the cylinder from $B$ to $C$. Find its shortest possible length.

In the figure, $ABCDE$ is a regular pentagon and $ABF$ is an equilateral triangle. Find $x$.

If $a$, $b$ and $c$ are all positive, which of the following may represent the graph of $ax+by+c=0$ ?

The equation of the circle centred at $(a,b)$ and tangential to the $x$-axis is