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1、智课网GRE备考资料GRE数学考前热身试题-智课教育旗下智课教育本系列为同学们整理了GRE数学中出现的一些高频高质量的题目,并配有解析,希望同学们认真备考,都能取得好成绩。1.Linekliesinthexy-plane.Thex-interceptoflinekis–4,andlinekpassesthroughthemidpointofthelinesegmentwhoseendpointsare(2,9)and(2,0).Whatistheslopeoflinek?Giveyouranswerasafraction.__3/4_____2.Inthecours
2、eofanexperiment,95measurementswererecorded,andallofthemeasurementswereintegers.The95measurementswerethengroupedinto7measurementintervals.Thegraphaboveshowsthefrequencydistributionofthe95measurementsbymeasurementinterval.QuantityAQuantityBTheaverage(arithmeticThemedianofthe95mean)ofthe9
3、5measurementsMeasurements这个题我觉得可以估计,median应该在6-10这段,而average呢,根据图表判断,左边的两段和右边的五段占总人数应该是差不多对半分,那么平均数就应该是向高处拉了,这个是经验估计。当然也可以通过算,我觉得这个题去算的话,量相对大些。。。答案为A3.TherandomvariableXisnormallydistributed.Thevalues650and850areatthe60thand90thpercentilesofthedistributionofX,respectively.QuantityAQuan
4、tityBThevalueatthe75th750percentileofthedistributionofX这个题,我做的时候是根据图像做的,在正态分布的函数图象上,60%——90%之间的这段是个下凸的,所以当取750这个自变量的时候,对应的函数值应该是比650和850对应函数值的平均值小的,大家画个图就可以很直观的看出来了。所以750对应的白分比应该是比75%小,选项是B4.If1+x+x2+x3=60,thentheaverage(arithmeticmean)ofx,x2,x3,andx4isequaltowhichofthefollowing?A12xB1
5、5xC20xD30xE60x这个题直接在等式的两边乘以x就好了,然后除以4,答案就是B5.ParallelogramOPQRliesinthexy-plane,asshowninthefigureabove.ThecoordinatesofpointPare(2,4)andthecoordinatesofpointQare(8,6).WhatarethecoordinatesofpointR?A(3,2)B(3,3)C(4,4)D(5,2)E(6,2)这个题直接读图,应该有Q的坐标减去P的坐标等于R的坐标减去O的坐标,其实也就是两个向量是相等的,O又恰好是原点,那么
6、R的坐标就是QP的向量坐标了,即(6,2)E选项6.LetSbethesetofallpositiveintegersnsuchthatn2isamultipleofboth24and108.WhichofthefollowingintegersaredivisorsofeveryintegerninS?Indicateallsuchintegers.A12B24C36D72这个题有点小复杂,我先把OG上的解答贴上来。再写我自己的Todeterminewhichoftheintegersintheanswerchoicesisadivisorofeveryposit
7、iveintegerninS,youmustfirstunderstandtheintegersthatareinS.Notethatinthisquestionyouaregiveninformationaboutn2,notaboutnitself.Therefore,youmustusetheinformationaboutn2toderiveinformationaboutn.Thefactthatn2isamultipleofboth24and108impliesthatn2isamultipleoftheleastcommonmultipleof24