2013-II-22
Ans: A
For some positive constant $k$,
… Read For some positive constant $k$,
$\begin{array}{rcl
HKDSE-MATH - 2013
2013-II-23
Ans: B
I must be true.
… Read I must be true.
$\begin{array}{rcl}
\text{LHS}
2013-II-24
Ans: A
Let $P=(x,y)$.
… Read Let $P=(x,y)$.
$\begin{array}{rcl}
AP & =
2013-II-25
Ans: D
Note that the general form of $C$ is $x^2+y^2-2x+4y-\
… Read Note that the general form of $C$ is $x^2+y^2-2x+4y-\
2013-II-26
Ans: A
The required probability
… Read The required probability
$\begin{array}{cl}
=
2013-II-27
Ans: B
Since the mode is $14$, there are at least three $14$ in
… Read Since the mode is $14$, there are at least three $14$ in
2013-II-28
Ans: A
It is obvious that the crosses move to the right and up.
… Read It is obvious that the crosses move to the right and up.
2013-II-29
Ans: D
Note that the median, the lower quartile and the upper
… Read Note that the median, the lower quartile and the upper
2013-II-30
Ans: B
A may not be true. The proportion of the profit from the
… Read A may not be true. The proportion of the profit from the
2013-II-31
Ans: B
$\begin{array}{rcl}
a^2+4a+4 & = & (a+2)
… Read $\begin{array}{rcl}
a^2+4a+4 & = & (a+2)
2013-II-32
Ans: B
According to the figure, we have $0 < b < 1$ and
… Read According to the figure, we have $0 < b < 1$ and
$\begin{array}{r
2013-II-33
Ans: A
$\begin{array}{cl}
& \text{A}00~000~\text{
… Read $\begin{array}{cl}
& \text{A}00~000~\text{
2013-II-34
Ans: D
$\left\{\begin{array}{ll}
x-\log y = 2 & \ldot
… Read $\left\{\begin{array}{ll}
x-\log y = 2 & \ldot
2013-II-35
Ans: D
According to the given system of equations, $\alpha$
… Read According to the given system of equations, $\alpha$
2013-II-36
Ans: A
$\begin{array}{cl}
& i + 2i^2+3i^3+4i^4 \\
= &#
… Read $\begin{array}{cl}
& i + 2i^2+3i^3+4i^4 \\
= &#
2013-II-37
Ans: C
Sketch the system of inequalities, we have
… Read Sketch the system of inequalities, we have
Note that $
2013-II-38
Ans: C
Let $T(n) = 2n-19$, where $n$ is a positive integer.
… Read Let $T(n) = 2n-19$, where $n$ is a positive integer.
I i
2013-II-39
Ans: A
Consider the graph of $y=\tan x^\circ$.
… Read Consider the graph of $y=\tan x^\circ$.
By comparing
2013-II-40
Ans: B
Let $2x\text{ cm}$ be the length of a side of the tetrah
… Read Let $2x\text{ cm}$ be the length of a side of the tetrah
2013-II-41
Ans: D
Join $BC$.
… Read Join $BC$.
$\begin{array}{rcl}
\angle BAC & = &