1993 年

In the figure, $\cos A=-\dfrac{4}{5}$. Find $a$.

The largest value of $3\sin^2\theta+2\cos^2\theta-1$ is

In the figure, $AB=BC$, $BP=CP$ and $BP\perp CP$. Find $\tan\theta$.

In the figure, points $A$, $B$, $C$ and $D$ are concyclic. Find $x$.

In the figure, $BA\parallel DE$ and $AC=AD$. Find $\theta$.

In the figure, $AB$ is a diameter. Find $\angle ADC$.

If the point $(1,1)$, $(3,2)$ and $(7,k)$ are on the same straight line, then $k=$

$A(0,0)$, $B(5,0)$ and $C(2,6)$ are the vertices of a triangle. $P(9,5)$, $Q(6,6)$ and $R(2,-9)$ are three points. Which of the following triangles has/have area(s) greater than the area of $\triangle ABC$? I. $\triangle ABP$ II. $\triangle ABQ$ III. $\triangle ABR$

What is the area of the circle $x^2+y^2-10x+6y-2=0$?

Two fair dice are thrown. What is the probability of getting a total of 5 or 10?