2008 年

In the figure, $ABCD$ is a parallelogram. $M$ is a point lying on $BC$ such that $BM:MC=1:2$. If $BD$ and $AM$ intersect at $G$ and the area of $\triangle BGM$ is $1\text{ cm}^2$, then the area of the parallelogram $ABCD$ is

In the figure, $D$ is a point lying on $AC$ such that $BD$ is perpendicular to $AC$. Find $AD:DC$.

$\dfrac{\cos A}{\tan(90^\circ-A)}=$

In the figure, $\tan\theta=$

If the plane figure above is rotated anticlockwise about the point $O$ through $135^\circ$, which of the following is its image?

Which of following triangles have reflectional symmetry but do not have rotational symmetry?

In the figure, $AB\parallel CD$ and $AC=BD$. If $\angle CAD=20^\circ$ and $\angle ADB=80^\circ$, then $\angle ADC=$

According to the figure, which of the following must be true?

The coordinates of the points $A$ and $B$ are $(-2,a)$ and $(b,7)$ respectively. If the coordinates of the mid-point of $AB$ are $(1,5)$, then $a=$

If the polar coordinates of the point $P$ are $(2,300^\circ)$, then the rectangular coordinates of $P$ are