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1、6Entry Examination PaperCandidate 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

2、 is also a singerD.None of the above2)In the equation (x-5) 2+(y-2)2=16, the center of the circle is answer choices( ).3)In the following diagram,which of the following is not an example of an inscribed angle of circle O(A.(5,2)B.(-5, -2)C.(-5, -3)D.(5, 3).Q3Q4Q54)What can you NOT conclude from the

3、diagram at the right?().A. c=dB. a=bC. c + e2=b2D. 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 greenB. the coat is sometimes blueC.

4、the coat is not blueD. it is not true that the coat is not blue7)Which of the following is equal to cos35 ° ().A. Sin35°B. Cos55°C. Sin55D. cos145°8)Look at this series: 80, 10, 70, 15, 60,What number should come next?( ).A. 20B. 25C. 30D. 509)What is the contrapositive of the pr

5、oposition ''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,

6、 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

7、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 ar

8、e congruent, an inscribed angle of one arc is congruent to an inscribed angle of the otherarc.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。')22_x y 20x 24 y 19

9、5 0The 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:(121 sin342 cos 空63 tan 4204sec-9-45 csc510c 1 19 冗6 cot 36、

10、For each the following statement , do each of the following(8 ):All Park View students will graduate.”Conditional:;Symbol;Converse:;Symbol;Inverse:;Symbol;Contrapositive:;Symbol.7、In circle O, diameter AB and ED intersect at center O;chord BD and tangent CB , Secant CDA,if the measure of arc EA equa

11、ls 80° ,the measure of arc AD equals 100 ° ,find (5'):1)m / EOB=; 2)m / BAD=; 3)m / C=4)m / CBD=; 5)m / EDB=.8、Find the m / DGF to the nearest whole degree. (4):Extra Questions:(20 )1、Square ABCDhas side length s, a circle centered at E has radius r,and r and s are both rational. The c

12、ircle passes through D, and D lies on BE. Point F lies on the circle, on the same side of BE as A. Segment AF is tangent to the circle, and AF 9 5 2. What is - ?s2、All of the triangles in the diagram below are similar to isosceles triangle ABC, in which AB=AC. Each of the 7 smallest triangles has ar

13、ea 1, and triangle ABChas area 40. What is the area of trapezoid DBCE?1、Multiple Choice:1) B ;2) A ;3) A ;4) D ;5) C ;6)C;7) C ;8) A ;9) B .2、 Fill in the blank with sometimes, always, or never.1. Always ;2. Always ; 3.Sometimes ;4.Always ;5. Always ;f.Always ; g. Never.3、Find the value of x in each

14、 figure below. 86°(2)74 °4、The circle C has equation. 49(2)255、Use the reference angle method above to solve the following:(2)、.36、For each the following statement , do each of the following :Conditional: _If students are All Park View 's,then they will graduate_;Symbol p q;Converse: _If students will graduate ,then students are All Park View 's;Symbol q p;Inverse: _If students are not All Park View 's,then they will not graduate;Symbol p

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