2007 年

$\text{ABCDE70000}_{16}=$

If $p=q^2-12q+6=2q-7$, then $p=$

Which of the regions in the figure may represent the solution of $\begin{cases}y\ge 4\\ x+y\le 8\\ 2x+y\ge 8\end{cases}$ ?

Let $a_n$ be the $n$th term of an arithmetic sequence. If $a_1=a_2-6$ and $a_1+a_2+\cdots+a_{28}=1624$, then $a_1=$

The sum of all the positive terms in the geometric sequence $4,-2,1,\ldots$ is

Let $k$ be a constant and $-90^\circ<\theta<90^\circ$. If the figure shows the graph of $y=k\sin(x^\circ+\theta)$, then

In the figure, find $x$ correct to the nearest integer.

In the figure, $A$, $B$, $C$ and $D$ are points lying on the circle. If $AB=5$, $AD=3$ and $BD=7$, then $\angle BCD=$

In the figure, $A$, $B$ and $C$ are points lying on the circle. $AB$ is a diameter of the circle. $DB$ is the tangent to the circle at $B$. If $ACD$ is a straight line with $AC=4$ and $CD=2$, then $AB=$

If $\triangle ABC$ is an obtuse-angled triangle, which of the following points must lie outside $\triangle ABC$? I. The centroid of $\triangle ABC$ II. The circumcentre of $\triangle ABC$ III. The orthocentre of $\triangle ABC$