江蘇省南通市2021屆高三月考模擬測試數學試題85．03是?12）xxA1?2i1+2i．+=（）1+i1?iA．1．i1D．i設D為△ABC=）BCBC13434313A．．=?．=AB+ADADABACADAC1441=?AB+AC．AD=AB?AC3333()MAB0,15，．：3+?6=0xyl12kx+2y?k?3=0MDACBD）l2C()．52+1()D．52?1A．102．52．()1）334333A．．．D．34．?ABCDDP與BCPDC111111）ππ,ππ,ππ,ππ,A．．．D．64634332x2a2y2b2():+=10F，FF作Eab121于，在EAB=3，△ABFxAxAB29πAF16）21A．3x+2y?3=0．4x+3y?4=0．2x+3y?2=0．3x+4y?3=0(()=ln?+，gx=?x2?2ax+40,2，1,2xxx()fxx38．44x12()()fxgx）a12125?8ln2155,+．?,A．?,+．D．?,81684445530(x)f(x+1)f(x+2)與fRf(x)f(x)f(x+3)f(x+4)(nN),=,是等差數列，dSSSSSSn設a*n56678n.d0.a=0C.SS.S與S均為SB79567n3(3,2)y=．Cx3x2?y=13CC23=e?1Cx?2y?1=0C與y2x?=Asinty，1f(x)=x+2x22()fx()fx是在0,23334f(x)f(x)0,在2452若63)(51在2x?x2．x7,b,且a=b+c?bcABC,．Ca2222a=，則S+6cosBcosClnx,0x2e()fx()?=0有2fx=()fe?x,2ex4em)6()tanC=35在△ABC3sin=2sin，．ABcos2；CACBC=1△ABC?()a}S?S=122a+S=14，.n3121a}n1b}Tn=b.nlogalogann22a122n1()6000221500774044次每次收取維修費a30123以上100XX()2⊥⊥，==ABC，ABCD2且ADBC+=4．⊥；BCEAC??的CBDEABCD()x2a2y2b2()O:+=1ab0，ABPO123．O2O()()：2+?22=2，02，ExByrrOCCDDBr4．)()113()+a?，=gxxfx=x++．4x22x42()11fx?1+a；4xmaxp,qhxfx,gxq()=()()()hx（2）用5江蘇省南通市2021屆高三月考模擬測試數學參考答案85AACCDA455309.ABC10.ABD11.AC12.ABC451(?,)．6．e6211617?=?．tanC=35cosC=cos2=21C618△ABC，，a，，c．ABCb∵3sin=2sin3=2，ABab∵?=?=1=2，=3．ACBCbaab=+?2cos=13?2=11，c2a2b2abC則=11，△ABC5+11．c{a}qn+aqaq=122q0，11a+aq=14117q?5q?=0q=2a=212，.因此數列{a}a.=2nnn1111=(1b=n=?)，logaloga(2n+1)(2n?1)2n?1n+122a122n111111111n=(1?+?++?)=(1?)=2n+12n+1∴T.23352n?12n+12n6X(PX)111()111=0==，5525===，PX1210525(17)1112()12131PX=2=101055+2=，PX=3=2+2=，10010551065()2231112=，50(PX5)23(PX6)339PX=4=+551010===，2==1010100=，51025X0123456X111715115069P252510025100Y1()111169EY=6000+7500+9000+10500+12000=85801455025100Y277406769P10025100()676(25)9()a7740+2a=7740+10050EY=7740+7740+a+2100()()aEY?EY=840?，1250()()a當EY?EY=840?00a20001250()()a當EY?EY=840?=0=a20001250()()a當EY?EY=840?0a2000125020.⊥⊥，ABC7ABDABCAB=，⊥，ABCADBC⊥．BCABC2==AB+BC=ACABBC⊥，2222ADAB=A⊥．BC(ADx0x4)===?，ABBC4x()(()11()1)的體積V=fx=x4?x=x?8x+16x0x4．ABCD232326()1()(()1)fx=3x16x16?+=x43x4??，2664()()當0x，=fx0Vfx34()()當x4，=fx0Vfx34AD=x=ABCD3以B?Bxyz，()B0,0,0888444則，A0,,0，C,0,0，D0,,，E,,0．3333338x=0()x,y,zn=03=n，BCD834n=0y+z=03()令=?=?，0,1,2z2n()，=?m1,1,2530則==?．5666????．CBDECBDESPO△PAB8=231c1=a2=2abab23===，=，=，a2b3c1S△PAB2a2?b2=c2x2y2O+=1．43()E=()?kx?y?2k=0，ykx2B2,02?2kk2+1()E：+?==r=，x2y22r2d()?4r2k2k4r20++?=．(kkk)kk1，k=，121212()y=kx?2()()()1設∴，+?+?=，34kx16kxk0Cx,yDx,y222121x2y211221+=14316k2?12k2?6?12kx==y；122x=1113+4k13+4k213+4k2111k2?68?6k2?12k?12k==，y==；12x21223+4k4+k223+4k4+k22221112k12k?11y?y4+k23+4k2k()∴===，K21111?x86k??2CDxk6+4k12121?1214+k23+4k21112kkk2?6()CD+=?．yx1113+4k24k+13+4k22111k7kk()()()()=?=x?，yx1114k2+12k2+14k2+1111()14,0CD．?1+=2()()111()=?+?+，0,xfxax14xx?1．x2()11x則=?=xxx29()x0()x0當0x1x1，()()()+1,故在x0,1()x()x=是x1()()()()112a+．xx=1=0fx?14x()fx()+，0,()2x+1x?1()1112x2?x?12x3fx=??x2x32x2==，2x3()fx0()，fx0當0x1x1()()()在+0,11,fx=是()()fxx1fx()fx()f1a=，即=()x?13x+1()()113?=?若=a0fxgx?=+4x22x4，4x2()()fxgx()()；fxgx當0x1=x1=()()fxgx當x1．()fx,0x1()=．hxx1()=hx()x1gx,()()fxgx()()，fxa0當a00x1=hx()()fxa0gx0()，hx0當x1，()hx()112當a00x1?+，fx1a4x()1112而2a11?+?a0+=，01f2?a+12?a+1410()()()()=f1=a0在，fx0,1fxx0min()()()=fcgccx，0113311即當+c2c4?+=?=+c2c．a0a41131111c?xc+x()()gxfx?=??4x22x4+?a=??+4x22xc+=?+20，xcccxcx2()fx,0xc()()()=，gxfxhx()gx,xc()和xhx0a0()hx()hx()hx()hx=a0a0a011()x0()x0當0x1x1，()()()+1,故在x0,1()x()x=是x1()()()()112a+．xx=1=0fx?14x()fx()+，0,()2x+1x?1()1112x2?x?12x3fx=??x2x32x2==，2x3()fx0()，fx0當0x1x1()()()在+0,11,fx=是()()fxx1fx()fx()f1a=，即=()x?13x+1()()113?=?若=a0fxgx?=+4x22x4，4x2()()fxgx()()；fxgx當0x1=x1=()()fxgx當x1．()fx,0x1()=．hxx1()=hx()x1gx,()()fxgx()()，fxa0當a00x1=hx()()fxa0gx0()，hx0當x1，()hx()112當a00x1?+，fx1a4x()1112而2a11?+?a0+=，01f2?a+12?a+1410()()()()=f1=a