高三數(shù)學診斷考試文科試題(含答案解析)

1、頁1第頁2第頁3第數(shù)學(文史類)參照解答及評分標準一、選擇題：本大題共12小題，每題5分，共60分DDCACCCBBABD二、填空題：本大題共4小題，每題5分，共20分139514106.51541643頁4第67017tanA11tanBtanC3tanB=2tanAtanC=3tanAtanBtanC2tanA3tanAABCtanA=-tan(B+C)=31tanBtanC16tan2Atan2A=1tanA=-1tanA=14tanA=-1tanB=-2AB5tanA=1A=64tanA=1tanB=2tanC=3sinB=2cosBsinC=3cosC7sin2B+cos2B=1si

2、n2C+cos2C=1sinB=2sinC=3()95102ABCabsinBa5521011”sinAb=2sinBsinA2SABC=1absinC=1521031512221018a=40b=15c=20d=25K2100(40251520)28.2497.8794604055450.005564061234206060B1B2763(AA2A)(AAA)(AA2B)(AAB)(AAA)1312411122134(A1A3B1)(A1A3B2)(A1A4B1)(A1A4B2)(A2A3A4)(AA3B)(AAB)(AA4B)(AAB)(AAB)2123221242341(AA4B)(AB

3、B)(AB1B)(ABB)(ABB)3211222312412209(A1A2B1)(A1A2B2)(A1A3B1)(A1A3B2)(A1A4B1)(A1A4B2)(A2A3B1)(A2A3B2)(A2A4B1)(A2A4B2)(A3A4B1)(A3A4B2)(A1B1B2)(A2B1B2)(A3B1B2)(A4B1B2)(A1A2B1)(A1A2B2)(A1A3B1)(A1A3B2)(A1A4B1)1611頁5第1641220519bn+1log4(an11)log44(an1)1log4(an1)=1+bnbn+1-b=1()3nbnb1=log44=11bn=1+(n-1)1=n5bn=

4、nSnn(n1)62(-1)nnn(-1)n2kb2S+n+4kn0f(x)22xxx(02)f(x)0 x(2+)f(x)0f(x)(02)(2+)f(1)=-71912320M(xy)P(xy)D(x0)000DP(0y0)DM=(x-x0y)DP2DM0=2(x-x0)y0=2yx0 x，y02y2Px2+y2=8x2+2y2=8Cx2y21484Q(xQ0)ABy=k(x-2)A(x1y1)B(x2y2)yk(x，2)(2k2+1)x2-8k2x+8k2-8=0 x22y28，0 x8k2x1x2=8k288212k212kkQA+kQB=y1y20 xQx2xQx1y1=k(x1-2

5、)y2=k(x2-2)2x1x2-(xQ+2)(x1+x2)+4xQ=01016k216-(xQ+2)8k2+4xQ=02k212k21xQ=4頁6第Q(40)AQBQ01221f(x)f(x)exa1a1f(x)0 xlnaf(x)0 xlnaf(x)(lna)(lna+)3f(x)min=f(lna)=aalna1=1-2ln2g(a)aalna22ln2g(a)lnaa1g(a)0g(a)(1+)g(2)0a26a=2f(x)ex2(1xk)f(x)x30(1xk)(ex2)x30221xex3k28ex21xex3ex(1exx4)h(x)=22(x1)h(x)22)2ex(ex1xx

6、4(x1)(x)1x10(x1)(x)ee22(2)1e260(3)1e37022t(23)(t)0 x(0t)(x)0h(x)0h(x)(1t)x(t+)(x)0h(x)0h(x)(t+)1tet3()()=210hxminhtet2(t)1ett40et2t821t1()()2te32t(2t8)3t24t3(t1)(t3)1=(t1)minet22t822t62(t3)2t(23)1(t1)(3，2)22k21222ly13xl3xy10Cx2+y2-2x-2y+1=05頁7第x1，2tCx2+y2-2x-2y+1=0y13t，2t2(231)t40t1t223，t1t24811111t12t22(t1t2)22t1t2435PA2PB2t12t22t12t22(t1t2)216112435102PB16PA23()m=1f(x)2x1x2x1f(x)=3-xf(x)-3-31f(x)=3x+1f(x)6x51x52323f(x)1f(x)=(