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.docx
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1、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 joining ( 1, 7) and (0, 9)?A)1 , 1B)1 ,822C)4, 7D)10, 722wE) ( 1, 16)2. What is an equation of the parabola withvertex at (0, 0) and directrixx = 3?A)y2 = 3xB)x2 = 3yC)y2 = 1 xD)x2 = 12 y3E)y2 = 12 x3. An equation fo
2、r a cross section of aflashlight s parabolic reflector can be modelled byy2= 6 x. The light bulb is atthe focus of the parabolic reflector. What is the focus?A)3,0B)0,322C)3D)0,3,022E) (0, 0)4. What is the radius of the circle 9x2 + 9 y2 = 63?A)1B)7C) 7D)63E)63- 1 - / 135. What is an equation of the
3、 line tangent tothe circlex2 +y2 = 32 at (4, 4)?A)y = x 8B)y = x + 8C)y = x + 8D)y = xE) y = x + 46. What is an equation of the ellipse withcenter at the origin, a vertex at ( 5, 0),and a focus at ( 2, 0)?x2y2A)12125x2y2C)1254x2y2E)12521x2y21B)521x2y2D)12157. What are the co-vertices of the ellipse
4、3x2 + 2 y2 = 72?A)( 2, 0)B)(0, 6)C)( 6, 0)D)( 2 6 , 0)E)(0, 2 6 )8. What are the asymptotes of the hyperbola 9x2 16 y2 = 576?A)y = 3 xB) y = 4 x43C)y =3xD)y = 4xE) y = 3 x5- 2 - / 139. Which line is a line of symmetry for theparabola ( x 1)2y 1)?= 4(A)y= 1B)y=1C)x= 1D)x=1E) x = 010.Which equation re
5、presents a hyperbola?A) x2 + 9 y2 + 6 x 90 y + 225 = 0B) x2 9 y2 + 6 x + 90 y 225 = 0C)x2 +y2 + 6 x 10 y + 25 = 0D) x2 + 6 x 4 y + 14 = 0E) x2 + 3 y2 + 6 x 30 y + 78 = 011. Which ordered pair is a solution of the system below?x2 + y2 8 x 9 = 0 3x + 4 y 13 = 0A)(4, 1)B)(4, 5)C)(5, 7)D)(7,4)E)(1, 4)12
6、.How many solutions does the systemconsisting of the equationsx2 + y2 = 16andx2 + 4 y2 = 36 have?A)0B)1C)2D)3E)413.How many solutions does the systemconsisting of the equations 2x y 9 = 0and 4 x2+ 9 y2 18 x 27 = 0 have?A)0B)1C)2D)3E)4- 3 - / 1314. A ship s LORAN system locates the ship on the hyperb
7、olas with the equations givenbelow. Find the ships location if it is northand east of the origin.x2 y2 12 x + 24 = 0 x2 + y2 9 = 0A)(0, 3)B)(0, 3)C)5 ,13D)5 ,1344445 1E) ,2 2In Exercises 15-17, refer to the spinnershown. The spinner is divided into sections with the same area.15.You spinthe spinner1
8、2 times.It stops on 19 two times. What is the experimentalprobability of stopping on 19?A)1B)1C)11264D)1E)5312- 4 - / 1316.You spin the spinner 20 times. It stops onan odd number 8 times. What is the experimental probability of stopping on an odd number?A)1B)1C) 2455D)3E)35417.What are the odds agai
9、nst stopping on a number greater than 1?A) 5 : 1B) 6: 1C) 1 : 2D) 1 : 6E) 1 : 518.There are 10 cheerleading squads performing in a competition. The order of theperformancesis determinedat random. What is the probabilitythatyour squad performsfirst and your friends squad performs second?A)1B)1C) 1901
10、85D)1E)410519. You are planting flowers in a large pot. There are 6 types of flowers to choose from andyou would like to use 2 different types. How many combinations of flowers are possible?A) 2 B) 6C) 10D) 15E) 2020.A vase holds 4 red tulips, 2 yellow tulips,and 3 pink tulips. You randomly choose a
11、 tulip, place it in a different vase, thenrandomlychoose another tulip.What is the probabilitythat you choose a yellow tulip,then a red tulip?A)8B)1C) 18196D)2E)13318- 5 - / 1321.A survey asked students how manyemails they receive each day. The results are shown in the bar graph. What is the experim
12、ental probability (rounded to three decimal places) that a randomly selected student receives at most 20 emails a day?A) 0.086B) 0.221C) 0.282D) 0.500E) 0.78622.A card israndomlyselectedfroma standard deck of 52 cards. What is theprobability of drawing a face cardora red card?A)3B)1C)826213D)19E)212
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