匈牙利大学入学考试试题参考(数学考试)德布勒森大学
2020-04-02 17:16阅读:
Surname: ......................................
Given Name:
.......................................
Birth date:
................................... High School
Graduation Year:
............
Program applied for:
.......................................................
1. How many percentage of
400 is 80?
Answer:
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2. Compute
the
average
of
the
numbers
1,
8,
5,
9,
3.
Answer:
.............................................
3. Write the decimal form of
the number 1.32
·
104?
Answer:
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4.
What is the
value of
2
−
4
?
Answer:
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5. What is the value
of
2−3
+
3−2?
Answer:
.............................................
6. Let A
= {1,
3,
4,
5,
6,
7, 8}
and B =
{1,
3,
5,
9}. How
many elements has (A
∪ B) \
(A ∩
B)?
Answer:
.............................................
7. What
are
the
solutions
of
the
equation
x2
−
25
=
0?
Answer:
.............................................
8. Solve the following system of
equations!2x
+
3y
=
−2x
+
2y
=
−2
Answer:
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9. Determine
the
maximal
domains
of
the
functions
f
(x)
=
1
x−5
and
g(x)
= √8 −
2x?
Answer:
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10.
What
are
the
values
of
sin
.π
Σ
and
cos
.−
π
Σ?
Answer:
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11. How
long
is
the
diagonal
of
a
rectangle
with
sides
8
and
6.
Answer:
.............................................
12. How many diagonals has
a convex
7-polygon?
Answer:
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13. What
are
the
coordinates
of
centre
of
the
circle
given
by
the
equation
x2
−
4x
+
y2
+
4y
=
0?
Answer:
.............................................
14. What is the solution of the
logarithmic equation
log3(x
− 2) = 1
?
Answer:
.............................................
15. What is the equation of the line
passing through the points (0,
−1) and
(2,
3)?
Answer:
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16. What is the area of the triangle
determined by A =
(1, 4),
B = (0,
2), C =
(3,
0)?
Answer:
.............................................
17.
What
is
the
period
of
the
function
f
:
R
›→
R,
f
(x)
=
tan
.x
Σ?
Answer:
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18. What is the minimal
value of the function
g(x)
= x2
−
4x +
5?
Answer:
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19. How
many