揚州市學年高三數(shù)學第二次調(diào)研試題及答案

1、揚州市20072008學年度第一學期期末調(diào)研測試試題高三數(shù)學參考答案第一部分一、填空題1.1,2,42.1i5.246.19.1910.12-3.x2x244.77.2sin(2x)8.3411.2xy1012.13 .4二、解答題:14 .15 .解：本題的基本事件共有27個(如圖).3分(1)記3個矩形都涂同一顏色”為事件A,由圖可知，事件A的基本事件有1X3=3個，故31P(A)-6分279(2)記相鄰2個矩形顏色不同”為事件B,由圖可知，事件B的基本事件有3X2X2=12個，故124P(B).12分279答：3個矩形顏色都相同的概率為1,相鄰2個矩形顏色不同的概率為-.14分99uuu

2、uuuruur16.解：(1)ABACBC,uur2uuir2uuur2uuuruuurABACBC2ACBC2,3AB四.(或由cosACB及余弦定理求得4(2)ACABBCBCA,即求BA的某個三角函數(shù)值，DBA2BC2AC217cosB-,sinB-=,2BABC2,222cosA222AB2AC2BC22ABACsinA11sin(BA)sinBcosAcosBsinA,75(1)73.22金4亞2衣4亞81(或cos(BA)-,tan(BA)3此8八117.證：(1).PQ/AB且PQAB,2AB在平面PQRS外，PQ平面PQRS,14分分分分cc1ABIAB/SRSR-ABAM2y

3、e2e(x1)2exy3e、3IIf'(x)(x23x)exf'(1)0f'(x)x2(a2)x(a5)ex2ef(1)eg(x)x2(a2)x(a5)0，-0(a2)24(a5)0a>24a42<a4ay20g(0)(a5)0a22a4g(x)x2(a2)x(a5)0,2_x2x5a(x1)0,x22x5x1a0,)(x1)a0,(x1)2(y1)2M(0,1)lMPMQ(1,1)k2ykx2x2y(12k)x2_2(1k)x10P(x),y1)Q(x2,y2)xx?2(11k學x”211k2MPMQuuuuuuuMPMQ0(x1,y1b)(x2,y2b)

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5、12anSnSn1n1anan11、n,仁)bn2loganbnbn21nP1(27,n)Pn1(12n彳，n1)yn(n1)1x-212T:-0)Bn(0,n2)CnOAnOBn(n2)22n2(n2)22n2(n3)22n32(n2)2(n3)2bkk728373220081120888n9(x21)9T5x2n32n2n31一0CntC1dnbk11202008k8362963msm2008mC94x6126x6T6C5x3UULUUNB1(2,0,1)M(0,1,2)D(0,0,0)B(2,2,0)UULUcosn,NBuuuunNBUtUBT|n|NBJ、538327(1126x333152008332DD1xyzuuirDB(2,2,0)_5_3)296667C2U4cnB1(2,2,2)N(0,2,1)uuuirDM327(0,1,2)n(2,2,1),1,210P(X 4) C；(-)4 - a P(X 33 24310 分答：此同學直到第 4次測試完備后才被確定為二、5/15110c155)C5()EX45-5324324324327B級的概率是;入圍的期望是.27274.解：（1）由(S11)2S2得:由（S21)2(S2Sl)S2得:S2由（S31)2(S3S2)S3得:S3122