2003 年

In the figure, the solid consists of a right circular cone and a hemisphere with a common base. Find the total surface area of the solid.

If $\theta$ is an acute angle and $\sin\theta=\cos\theta$, then $\cos\theta=$

In the figure, the bearing of $A$ from $B$ is

In the figure, $\cos\theta=$

In the figure, $ABC$ is a semicircle with $\widehat{BC}=7$ and $\angle ACB=55^\circ$. Find $\widehat{AB}$.

In the figure, $AB=$

Which of the following statements about the triangles in the figure must be true?

In the figure, $ABD$ and $ACE$ are straight lines. If $AC:CE=3:4$, then $BC:DE=$

In the figure, the straight lines $L_1$ and $L_2$ intersect at $(2,4)$. Find the equation of $L_1$.

If the straight line $2x+y+k=0$ passes through the point of intersection of the two straight lines $x+y-3=0$ and $x-y+1=0$, find $k$.