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让每个人平等地提升自我
广东省深圳市耀华实验学校
2018-2019
学年高二数学上学期期中试题
（国际班）
1.
What is the
midpoint of the line segment
2.
joining
(
–
1, 7) and (0, 9)?
A)
?
?
,
?
1
?
<
/p>
?
1
?
2
?
?
B)
?
?
?
1
?
,8
?
?
2
?
C)
?
4,
?
E)
(
–
1, 16)
< br>?
?
7
?
2
?
D)
?
10,
?
?
7
?
?
2
?
w
3.
What is an equation of the parabola
with
4.
vertex at
(0, 0) and directrix
x
=
–
3?
A)
y
=
–
3
x
C)
y
=
x
E)
y
= 12
x
5.
An equation
for a cross section of a
6.
flashlight’s parabolic reflector can be
modelled by
y
=
6
x
. The light bulb is
at the focus of the parabolic
reflector. What is the focus?
A)
?
2
2
2
2
B)
x
=
–
3
y
D)
x
=
12
y
2
2
1
3
?
3
?
,
0
?
?
2
?
B)
?
0,
?
?<
/p>
3
?
?
2
?
3
?
?
2
?
C)
?
?
?
3
?<
/p>
,0
?
2
?
?
D)
?
0,
?
?<
/p>
?
E)
(0, 0)
7.
What is the
radius of the circle
9
x
+
9
y
= 63?
A)
1
D)
63
B)
7
E)
63
C)
7
2
2
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8.
What is an equation of the line tangent
to
9.
the circle
x
+
y
= 32 at (4, 4)?
A)
y
=
x
–
8
C)
y
=
–
x
+ 8
E)
y
=
–
x
+ 4
10.
What is an equation of the ellipse with
11.
center at the
origin, a vertex at (
–
5, 0),
12.
and a focus
at (
–
2, 0)?
B)
y
=
x
+ 8
D)
y
=
x
2<
/p>
2
x
2
y
2
?
?
1
A)
21
25
x
2
y
2
B)
?
?
1
5
21
x
2
y
2
D)
?
?
1
21
5
x
2
y
2
?
?
1
C)
25
4
x
2
y
2
?
?
1
E)
25
21
13.
What are the co-
vertices of the ellipse
14.
3
x
+
2
y
= 72?
A)
(±2, 0)
C)
(±6, 0)
E)
(0, ±2
6
)
15.
What are the
asymptotes of the hyperbola
16.
9
x
–
16
y
= 576?
A)
y
= ±<
/p>
2
2
2
2
B)
(0, ±6)
D)
(±2
6
,
0)
3
x
4
B)
y
= ±
4
x
3
C)
y =
±
3
x
E)
y
= ±
x
D)
y
=
±4
x
3
5
17.
Which line is a line of symmetry for
the
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18.
parabola (
x
–
1)
= 4(
y
–
1)?
A)
y
=
1
C)
x
= 1
E)
x
= 0
19.
Which
equation represents a hyperbola?
A)
x
+ 9
y
+ 6
x
–
90
y
+ 225 = 0
B)
x
–
9
y
+ 6
x
+ 90
y
–
225 = 0
C)
x
+
y
+ 6
x
–
10
y
+ 25 = 0
D)
x
+ 6
x
–
4
y
+
14 = 0
E)
x
+
3
y
+ 6
x
–
30
y
+ 78 = 0
20.
Which ordered pair is a solution of the
21.
system below?
2
2
2
2
2
2
2
2
2
2
B)
y
=
–
1
D)
x
=
–
1
x
2
+
y
2
–
8
x
–
9 = 0
–
3
x
+
4
y
–
13 = 0
A)
(4, 1)
D)
(7,
–
4)
B)
(4, 5)
E)
(1, 4)
C)
(5, 7)
22.
How many
solutions does the system
23.
consisting of
the equations
x
+
y
= 16
24.
and
x
+ 4
y
= 36 have?
A)
0
D)
3
B)
1
E)
4
C)
2
2
2
2
2
25.
How many solutions does the system
26.
consisting of
the equations 2
x
–
y
–
9 = 0
27.
and
4
x
+
9
y
–
18
x
–
27 = 0
have?
A)
0
D)
3
B)
1
E)
4
C)
2
2
2
28.
A ship’s LORAN system locates the
ship
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29.
on the
hyperbolas with the equations given
30.
below. Find
the ship’s location if it is north
31.
and east of
the origin.
x
2
–
y
2
–
12
x
+ 24 = 0
–
x
+
y
–
9
= 0
A)
(0, 3)
C)
?
B)
(0,
–
3)
D)
?
,
?
2
2
?
5<
/p>
13
?
,
?
?
4
4
?
?
5
?
4
13
?
?
4
?
E)
?
?
5
1
< br>?
,
?
2
?
2
?
I
n Exercises 15-17, refer to the spinner
shown. The spinner is divided into
sections with the same area.
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让每个人平等地提升自我
32.
You
spin
the
spinner
12
times.
It
stops
on
19
two
times.
What
is
the
experimental
probability of
stopping on 19?
1
12
1
D)
3
A)
<
/p>
1
6
5
E)
12
B)
C)
1
4
33.
You spin the spinner 20 times. It stops
on
34.
an odd
number 8 times. What is the experimental
probability of stopping on an
odd
number?
1
4
3
D)
5
A)
<
/p>
1
5
3
E)
4
B)
C)
2
5
35.
What are the odds against stopping on a
number greater than 1?
A)
5
: 1
D)
1 : 6
36.
There are 10
cheerleading squads performing in a competition.
The order of the
performances
is
determined
at
random.
What
is
the
probability
that
your
squad
performs
first and your
friend’s squad performs second?
B)
6: 1
E)
1 : 5
C)
1 : 2
1
90
1
D)
10
A)
1
18
4
E)
5
B)
C)
1
5
37.
You are planting flowers in a large
pot. There
38.
are 6 types of flowers to choose from
and
39.
you would
like to use 2 different types. How
40.
many
combinations of flowers are possible?
A)
2
B
)
6
D)
15
C)
10
E)
20
41.
A vase holds
4 red tulips, 2 yellow tulips,
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42.
and 3 pink
tulips. You randomly choose a tulip, place it in a
different vase,
then
randomly choose another
tulip. What is
the
probability that
you choose
a yellow
tulip, then a red tulip?
8
81
2
D)
3
A)
<
/p>
1
9
13
E)<
/p>
18
B)
C)
1
6
43.
A survey asked students how many
44.
emails they
receive each day. The results are shown in the bar
graph. What is
the
experimental
probability
(rounded
to
three
decimal
places)
that
a
randomly
selected student receives at most 20
emails a day?
A)
B)
0.221
D)
E)
C)
45.
A
card
is
randomly
selected
from
a
standard
deck
of
52
cards.
What
is
the
probability of drawing a face card
or
a red card?
3
26
19
D)
26
A)
1
2
21
E)
26
B)
C)
8
13
46.
Events A and B are dependent, with
47.
P
(
A
) =
and
P
(
A
and
B
) = . What
is
P
(
B
|
A
)?
A)
B)
0.08
C)
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