2000 年

Which of the following may represent the graph of $y=\tan x^\circ$ for $0\le x\le90$ ?

In the figure, $ABCD$ is a rectangle formed by four squares each of area $1\text{ cm}^2$. $DB$ is a diagonal. Find the area of the shaded region.

In the figure, the areas of the two triangles are equal. Find $\theta$.

A man bought two books at $\$30$ and $\$70$ respectively. He sold the first one at a profit of $20\%$ and the second one at a loss of $10\%$. On the whole, he

The 1st and 10th terms of an arithmetic sequence are $2$ and $29$ respectively. The 20th term of the sequence is

Which of the following could be a geometric sequence/geometric sequences? I. $3,\ 3^3,\ 3^5,\ 3^7,\ \dots$ II. $9,\ 99,\ 999,\ 9\,999,\ \dots$ III. $10,\ -100,\ 1\,000,\ -10\,000,\ \dots$

In the figure, find the area of $\triangle ABC$.

Consider the three straight lines $L_1:\ 6x+4y-3=0$, $L_2:\ y=-\dfrac{3}{2}x+4$ and $L_3:\ 6x-4y+3=0$. Which of the following is/are true? I. $L_1\parallel L_2$ II. $L_2\parallel L_3$ III. $L_1\perp L_3$

In the figure, $ABCD$ is a parallelogram. Find $\angle BDE$.

In the figure, $O$ is the centre of the circle. $EAOB$ and $EDC$ are straight lines. Find $x$.