2009-II-24
Ans: C
Since $A+B=90^\circ$, then $B = 90^\circ – A$.
… Read Since $A+B=90^\circ$, then $B = 90^\circ – A$.
HKCEE - 2009
2009-II-25
Ans: D
Since $AB:BC:AC = 3:4:5$, then let $AB=3k$, $BC= 4k$ a
… Read Since $AB:BC:AC = 3:4:5$, then let $AB=3k$, $BC= 4k$ a
2009-II-26
Ans: A
Consider $\Delta BCE$, since $BC=CE$, then $\angle C
… Read Consider $\Delta BCE$, since $BC=CE$, then $\angle C
2009-II-27
Ans: A
$\begin{array}{rcl}
(n-2)\times 180^\circ &
… Read $\begin{array}{rcl}
(n-2)\times 180^\circ &
2009-II-28
Ans: C
… Read The extension of $AB$ intersects $CE$ at $D$. Since $A
2009-II-29
Ans: A
Mark $A$ on the given figure as shown below.
… Read Mark $A$ on the given figure as shown below.
Rotate the
2009-II-30
Ans: D
Note that the distance between $A$ and the line $x=1$ i
… Read Note that the distance between $A$ and the line $x=1$ i
2009-II-31
Ans: B
Let $(x,y)$ be the coordinates of $P$.
… Read Let $(x,y)$ be the coordinates of $P$.
$\begin{array
2009-II-32
Ans: A
Note that the slope of $L$
… Read Note that the slope of $L$
$\begin{array}{cl}
= &
2009-II-33
Ans: D
According to the slope-intercept form, the slope and
… Read According to the slope-intercept form, the slope and
2009-II-34
Ans: C
The required probability
… Read The required probability
$\begin{array}{cl}
=
2009-II-35
Ans: C
Let $x\text{ cm}$ be the mean height of the boys. Hence
… Read Let $x\text{ cm}$ be the mean height of the boys. Hence
2009-II-36
Ans: C
I is false. The range
… Read I is false. The range
$\begin{array}{cl}
= & 36 &
2009-II-37
Ans: D
Note that $y=g(x) = \frac{1}{3} f(x)$. Therefore, $g
… Read Note that $y=g(x) = \frac{1}{3} f(x)$. Therefore, $g
2009-II-38
Ans: C
$\begin{array}{cl}
& 1234^{3235} \\
\approx &
… Read $\begin{array}{cl}
& 1234^{3235} \\
\approx &
2009-II-39
Ans: D
… Read Let $f(x) = 3^x$. The above figure is the graph of $y=f(
2009-II-40
Ans: D
$\begin{array}{cl}
& 16^{12} + 14 \\
= & 1 \
… Read $\begin{array}{cl}
& 16^{12} + 14 \\
= & 1 \
2009-II-41
Ans: A
Let $f(x) = x^{2009} + x^{2008} + \cdots + x$. Hence, th
… Read Let $f(x) = x^{2009} + x^{2008} + \cdots + x$. Hence, th
2009-II-42
Ans: B
Let $S(n) = n^2 + 2n$. Then the 5th term of the sequence
… Read Let $S(n) = n^2 + 2n$. Then the 5th term of the sequence
$
2009-II-43
Ans: A
Let $r$ be the common ratio of the geometric sequence.
… Read Let $r$ be the common ratio of the geometric sequence.