国际高中入学考试卷+答案(2)

Entry Examination Paper

Candidate Name: ________

Score:___________(总分100+20)

1、Multiple Choice(18’)

1)If there are no dancers that aren't slim and no singers that aren't dancers, then which statements are always

true?( ).

A.There is not one slim person that isn't a dancer

B.All singers are slim

C.Anybody slim is also a singer

D.None of the above

2)In the equation (x-5)2+(y-2)2=16, the center of the circle is answer choices( ).

A.(5,2)

B.(-5, -2)

C.(-5, -3)

D.(5, 3)

3)In the following diagram,which of the following is not an example of an inscribed angle of circle O( ).

A.NST ∠

B.MNS ∠

C.SNT ∠

D.NSM ∠

Q3 Q4 Q5

4)What can you NOT conclude from the diagram at the right? ( ).

A. c=d

B. a=b

C. c 2 + e 2=b 2

D. e=d

5)If m ∠KLM=20° and measure of arc MP=30 ° ,what is m ∠KNP?( ).

A.25°

B.50°

C.35°

D.70°

6)What is the negation of the statement ''The coat is blue''? ( ).

A. the coat is green

B. the coat is sometimes blue

C. the coat is not blue

D. it is not true that the coat is not blue

7)Which of the following is equal to cos35°( ).

A. Sin35°

B. Cos55°

C. Sin55°

D. cos145°

8)Look at this series: 80, 10, 70, 15, 60, … What number should come next?( ).

A. 20

B. 25

C. 30

D. 50

9)What is the contrapositive of the proposition ''If a polygon has three sides then it is a triangle''?( ).

A.''If a polygon is a triangle, then it has less than three sides.''

B.''If a polygon is not a triangle, then it does not have three sides.''

C.''If a polygon is not a triangle, then it has more than three sides.''

D.''If a polygon is a triangle, then it does not have three sides.''

2、Fill in the blank with sometimes, always, or never. (14’)

1)Two tangents to the same circle from the same point are_______ congruent to each other.

2)If two inscribed angles are congruent, then their intercepted arcs are________ congruent.

3)If a line bisects an arc, then it_______bisects the chord of the arc.

4)The measure of a central angle is______equal to the measure of its intercepted arc.

5)If a radius bisects a chord of a circle, then it____bisects the minor arc of the chord.

6)If two arcs are congruent, an inscribed angle of one arc is______congruent to an inscribed angle of the other

arc.

7)If two chords of a circle are not congruent then the shorter chord is_______ closer to the center of the circle.

3、Find the value of x in each figure below.(8’)

4、The circle C has equation(10’)

0195242022=+--+y x y x

The centre of C is at the point M

1)Find the coordinate of the point M and the radius of the circle C.

2)N is the point with coordinate (25,32), find the length of the line MN.

5、Use the reference angle method above to solve the following:(12’)

()⎪⎭⎫ ⎝⎛-43sin 1π ()⎪⎭

⎫ ⎝⎛629cos 2π ()()︒420tan 3