2016年江蘇理科數(shù)學(xué)高考試題(含解析)

2016年江蘇數(shù)學(xué)高考試題數(shù)學(xué)Ⅰ試題VSh圓柱1VSh3圓錐5共{|2則AB=(1izABxxzx2y2xOy1733-2x-x2=▲.a▲.62aSn若aa=-Sa▲.▲.2nn1259xx▲.xOyFx2y2b＞＞0)y，2a2b2CBFC90▲.1第)xa,1x0,(x)aR.若設(shè)R2[f25x,0x1,59f()f()▲.22x2y402xy203xy30yxy▲.22ABCD是BCF是ADBCCA4BFCF1▲.ABCC▲.6）4π在，=，=.BC54ABπ-.A62)AFAB.ABCABCEABBCFBB上BDAC1111111111DEAC；11BDEA.11ABCDP1111ABCDPOABCD.111116m,PO2m,若AB1PO13x2y12x14y6002MN與xMNNlMCl,MP和t4f(x)ab(a0,b0,a1,b1)xx.12）設(shè)=.f(x);①f(2x)mf(x)6Rxm②gxfx20a111000Tt,t,t記UanN*和UTS若，12knT=1,3,66aaaanN*3+aa+aTSST1t2tT1366nk=2,4=30比數(shù)列，且當(dāng)TS.TanTk1k100Sa；Tk1U,DU,SSSSC2SD.DCCDC5DA1ABCABCBDACDE是BCEDCABD.1121A,B=2AB.B10202C.1x1txOyl2tC3yt2xcos,為（lCBAB.y2sinaa設(shè)＜＜.33.6xOyypxp2lCCClP和.PQp.–4C3476nN*）C）C）CnC）C）Cmmmmmm+2.m+1m+2n–1nn+2m75A1,2,3,6，Bx|2x3．AB1,2；AB1,2．z12i3ii．z；z55i．zx2y21．73210；cab102c210．220.1；．1x5.1，00.1．s2222225y32xx2．3,1；x32xx2≥03≤≤13,1．a(chǎn)．8bb2aa4NY輸出a結(jié)束；a,b195795ab9．a(chǎn)2．5；6x,y6636有54,6,5,5,5,6,6,4,6,5,6,6．6aaa3，S10a．Sn221n59n20；daad3，5a10d10，2111a4，d3a48320．190,3πy2xyx．；79y1xO-1x22y22bF10,兩abyBC2abBFC．yBCxOF6；333bababFc,0,，,，yBC222223ab3ab由BFCBFCF0，BFc,CFc，,，22223414312c236則0bace．c2a2b2222c2a243axa,1x0,設(shè)fx21,1上fx2Rx,0x1,559fff5a．a(chǎn)R222；551191211ffa，ff，222225210529113由ff，aa2251032則53111．faffa55x2y40,,y2xy20,則xy．223xy30,4,13；5y43B21Ax–4–3–2–11234–1–2–3–4x2y2220AAxy2222554，5dxy41minBBx2y40與3xy30B2,3，則13．x2y2max△ABC是BCE,F是BACA4，BFCF1，DA則BECE．7；8BCD令DFa，DBbDCb，DE2a，DAa，則BAab，CAab，BE2ab，CE2ab，BFab，CFab，11則BACA9a2b2，BFCFa2b2，BECE4a2b，258由BACA4，BFCF19a2b24，a2b21a2,b2，8457．8842ab28sin2sinsintantantan．ABCABCABC；由sinAsinπAsinBCsinBcosCcosBsinC，sin2sinsin，ABCsincoscossin2sinsinBCBC0，BCABCBCcoscostantan2tantan，BCBCBCBtanCBC又π，AA1BtanCBtanC則，ABCBC1BtanC22tanBtanC由tantan2tantantantantan，BCBCABC1tanBtanC令tanBtanCt,B,CABC0，得1tantan01BCtt22tanAtanBtanC，111tt2t1111111121則0tantantan8，tABCtt244t2tt2t2tanBtanC4，tanBtanC2，tan22,tan22,tan4BC,B,CBCA6124π在△ABC6，cos，．BCAC54⑴求π⑵求cosA6726⑴52．4，BB53B5B6AB52；3252cosAcosCBsinBsinCcosBcosC2A又A72Aπ31726cosAcosAsinA．62220ABCABCD,EAB,FBB1111C且BDAF，．AB11AC11111AB11DE//ACF；11⑵BDEACF．111FBCED,E為ABCDEACAD13又ABCABC//ACAC11111DE//ACACACF11DEACF111111DE//ACF；11ABCABCAAABC1111111AAACACAB1111111且，AAAB,AAAB1A1AABB1111111ACAABB，1111又又又DE//AC，，AABB1111AF1AABBDEAF111，AFBDDEBDDDEBDBDE,11111AFBDEAFACF11111BDEACF．111PABCD1111ABCDABCD的4POOO111111P⑴若6m，PO2mDC111O1⑵若正四棱錐的側(cè)棱長(zhǎng)為6m⑴312m323m；ABPO111DCOABPO2mOO8m，111=S3162m，V=S68m，V23233PABCDABCD1ABCD111111111V=VVm，3PABCDABCD11111111312m3；14設(shè)m()POxVx1則4m，AOxm，AB2xm，OOx22111111=S311224xx32V2x2x72x2x33m，333PABCDABCD111112V=SOO722x24x288x8xm，33ABCDABCD1111123VxV，V24xx288x8xx312x0x63333PABCDABCDABCD11111111，V'x26x231226x2120x6當(dāng)3V'x0，Vxx當(dāng)2V'x0，Vxxx23Vx即PO23m1：xy12x14y600MM22A2,4．⑴與6NxMNxN⑵OAlB,CBCOAlM⑶Tt,0P和QTATPTQtMy2x5或y2x⑶22221；M⑴x6y11⑵y22ANx6N6,nxOxN為x6ynn，n0222N：x6x7，MM22則7nn5n1Nx6y11；22OA25，k2設(shè)l:y2xblMOA15127b5bd,52125b5b22則BC25d225，25225BC25，22555或15：25或2；bblyxyxTATPTQTATQTPPQTAPQ，TAt24，22又≤10,PQ即t24≤22221，2t222221TAPQ，t2TA10，只需要作直線TA25，TA4、PQTAPQTAPQ，22221t22221．txfxaba0,b0,a1,b1．x1⑴設(shè)a2，．b2①fx2②xRf2x≥mfx6m⑵若0a1，b1gxfx21ab⑴①x04；⑵1；11x①fx2fx222，xx22x16則222210212021，0；xxxxx11②2≥m262xx22x2x11令220≥222，ttxxx2x2xt244t2≥6≤2mttt44∵≥2時(shí)≥242tttttt4．mlnaxbgxfx2ab2，'，gxaabbabxxxxxlnbaxlnbbahx由01，11hxablnbaalnalnb而lnab0log時(shí)hx0，x00bax,xhx0，alnb0g'x0；x0xx,hx0，alnb0g'x0；x0則gx在,xx,gxgx，000①若gx0，xlog2aa2，b0gx0；log2xax0ax2a0，bblog22gx0；xxbbxlog2且xxgx0gx在x,x1a10110xlog2xxgx0gx在x,x2b20202則gx②若gx0gx1gxgx，00gx0，0由g0ab20，00x0，017lnalnblnalog01lnln0，ablnbbalnab01．a(chǎn)b記1,2,,100a（N0；Un*UTTSnT若Tt,t,,tSaaa1,3,66．TSaaa12kTt1tt1366T2ka（N32,430．n*TSnT⑴an⑵k（1≤k≤1001,2,,；TkSak1T⑶設(shè)CU，DU，≥SS≥2S．DSSCDCCD⑴a3n1na當(dāng)2,493031，a3；aaTSa2a2aa12n1T2423n31kaa≤13333；Sa21ak1kk2T12k設(shè)AeCD，BeCDAB，SSS，SSS，CDCACDDBCDSS2SS2SS≥2S．CCDDABAB≥S≥S．SSCDAB①若B0≥2．SSSBAB②若S≥S，，BAAlBmAB若m≥l1Sa≤a≤SAl1mBABlml≥m1，31am1aSmS≤aaa133m≤≤S2S．21lA2222B12mABS≥2SSS≥2S．DABCCD18D△ABCABC，BDACD，是EBCEDCABD．BE由BDACBDC，ACD1由是BC，E2則EDC，C由BDC，CDBC由ABCABDDBC，ABDC，又EDCCEDCABD．1121AB2．B10202514；012211541010120214141BB122AB．1010122221x1t,2xOyltC3yt,219xcos,為參數(shù),lCABy2sin,7；3xy30，ly21，Cx241330xyxx17或，y2y0x18372y4178321672AB10．7aa設(shè)0，1，22xy4a．a(chǎn)xy33a2a由122，xx332aaa．332xy4≤2x2y2第l:xy20C:y22pxp0．⑴lCC⑵ClP和．Q2p,p；p20ylCOx43⑴y8x0,2l:xy20，與2,0lxp2,0，22y8x；2①Px,y，Qx,y1122y21px2yy2p121，kPQ1122px2yyyyy2y2212x2221p2p222p2又P,Qlk1PQyy即2，p2