2006 年

$2\sin(90^\circ-\theta)\sin60^\circ-\cos0^\circ\cos\theta=$

If $0^\circ<\theta<45^\circ$, which of the following must be true? I. $\tan\theta<\cos\theta$ II. $\sin\theta<\tan\theta$ III. $\sin\theta<\cos\theta$

In the figure, $\sin x=$

The figure shows a right prism $ABCDEF$ with a right-angled triangle as the cross-section. The angle between $BD$ and the plane $CDEF$ is

If the plane figure above is rotated anticlockwise about the point $O$ through $90^\circ$, which of the following is its image?

In the figure, $ABC$ and $AED$ are straight lines. If $AB=8\text{ cm}$, $BC=4\text{ cm}$ and $CD=9\text{ cm}$, then $BE=$

If the polar coordinates of the points $A$ and $B$ are $(5,45^\circ)$ and $(12,135^\circ)$ respectively, then the distance between $A$ and $B$ is

If $k<0$, which of the following may represent the graph of the straight line $x-y=k$ ?

The straight line $4x+y-2=0$ is perpendicular to the straight line

If the straight line $5x-3y=30$ cuts the $x$-axis and the $y$-axis at $A$ and $B$ respectively, then the coordinates of the mid-point of $AB$ are