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.Whatisthemidpointofthelinesegmentjoining(–1,7)and(0,9)?A)1,1B)1,822C)4,7D)10,722wE)(–1,16)2.Whatisanequationoftheparabolawithvertexat(0,0)anddirectrixx=–3?A)y2=–3xB)x2=–3yC)y2=1xD)x2=12y3E)y2=12x3.Anequationforacrosssectionofaflashlight’sparaboli

2、creflectorcanbemodelledbyy2=6x.Thelightbulbisatthefocusoftheparabolicreflector.Whatisthefocus?A)3,0B)0,322C)3D)0,3,022E)(0,0)4.Whatistheradiusofthecircle9x2+9y2=63?A)1B)7C)7D)63E)63-1-/135.Whatisanequationofthelinetangenttothecirclex2+y2=32at(4,4)?A)y=x–8B)y=x+8C)y=–x+8D)y=xE)y=–x+46.Wh

3、atisanequationoftheellipsewithcenterattheorigin,avertexat(–5,0),andafocusat(–2,0)?x2y2A)12125x2y2C)1254x2y2E)12521x2y21B)521x2y2D)12157.Whataretheco-verticesoftheellipse3x2+2y2=72?A)(±2,0)B)(0,±6)C)(±6,0)D)(±26,0)E)(0,±26)8.Whataretheasymptotesofthehyperbola9x2–16y2=576?A)y=±3xB)y=±4x4

4、3C)y=±3xD)y=±4xE)y=±3x5-2-/139.Whichlineisalineofsymmetryfortheparabola(x–1)2y–1)?=4(A)y=1B)y=–1C)x=1D)x=–1E)x=010.Whichequationrepresentsahyperbola?A)x2+9y2+6x–90y+225=0B)x2–9y2+6x+90y–225=0C)x2+y2+6x–10y+25=0D)x2+6x–4y+14=0E)x2+3y2+6x–30y+78=011.Whichorderedpairisasolutionofthesystemb

5、elow?x2+y2–8x–9=0–3x+4y–13=0A)(4,1)B)(4,5)C)(5,7)D)(7,–4)E)(1,4)12.Howmanysolutionsdoesthesystemconsistingoftheequationsx2+y2=16andx2+4y2=36have?A)0B)1C)2D)3E)413.Howmanysolutionsdoesthesystemconsistingoftheequations2x–y–9=0and4x2+9y2–18x–27=0have?A)0B)1C)2D)3E)4-3-/1314.Aship’sLORANsys

6、temlocatestheshiponthehyperbolaswiththeequationsgivenbelow.Findtheship’slocationifitisnorthandeastoftheorigin.x2–y2–12x+24=0–x2+y2–9=0A)(0,3)B)(0,–3)C)5,13D)5,13444451E),22InExercises15-17,refertothespinnershown.Thespinnerisdividedintosectionswiththesamearea.15.Youspinthespinner12times.

7、Itstopson19twotimes.Whatistheexperimentalprobabilityofstoppingon19?A)1B)1C)11264D)1E)5312-4-/1316.Youspinthespinner20times.Itstopsonanoddnumber8times.Whatistheexperimentalprobabilityofstoppingonanoddnumber?A)1B)1C)2455D)3E)35417.Whataretheoddsagainststoppingonanumbergreaterthan