2011 年

In the figure, $\cos\theta-\sin\theta=$

In the figure, $D$ is a point lying on $BC$ such that $AD$ is perpendicular to $BC$. Find $x$ correct to 2 decimal places.

In the figure, $D$ is a point lying on $AB$ such that $AD=BD=CD$. Find $x+y$.

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

If the plane figure above is rotated anticlockwise about the point $O$ through $270^\circ$, which of the following is its image?

In the figure, the rhombus $ABCD$ is divided into sixteen identical rhombuses and six of them are shaded. The number of axes of reflectional symmetry of the rhombus $ABCD$ is

In the figure, $BED$ is a diagonal of the parallelogram $ABCD$. If $\angle DCE=20^\circ$, $\angle AED=130^\circ$ and $CE=DE$, then $\angle BAE=$

If the sum of the exterior angles of a regular $n$-sided polygon is $3$ times an interior angle of the polygon, then $n=$

The coordinates of the point $A$ are $(-3,2)$. If $A$ is translated downwards by $7$ units to the point $B$, then the coordinates of the reflection image of $B$ with respect to the straight line $x=1$ are

If the polar coordinates of the point $P$ are $(2,150^\circ)$, then the rectangular coordinates of $P$ are