高中數(shù)學計算限時訓練參考答案與講解

參考答案與講解1.x-22.-1或一73.2.48×10?4.05.一86.2.1×10-77.-1或38.1或-119.158.125元9.—810.8.125元9.—810.14.415.016.3617.418.2919.x(2-y)(2+y)20.921.±2022.723.-1訓練41.±42.4(x+y)(x-y)3.3xy(y-3x)(y+3x)49.—8a3+16a?-8a?10.-211.±212.15,1612.513.114.6√2或2√5或2√215.416.217.(2,5)或(8,20)18.514.-215.略注這里以第6題為例：注這里以第1題為例：S=1×21+3×22十…十(2n—3)2”-1+(2n—1)2”2S,=1×22+3×23+…+(2n—3)2"+(2n-S,=2+23+2?+…+20+1—7.(10,+一)8.9.(-0,-1)3.△=a2+4>0,解方程ax2+(a+2)x+1=0,兩根分別為：或4.△=a2—4.(1)當△=a2-4≤0,(2)當△=a2—4>0,注這里以第2題為例：注意，這里的△>0.y11ao112@::訓練21訓練223.因為訓練231.當a≥-4時，單調遞增區(qū)間是(0,+一)注這里以第2題為例：工2.x-√2y-√3=0注這里以第3題為例：解得m2=1,m=±1.1訓練28為半徑的圓.3.(24,十0)為半徑的圓.2.曲線的形狀是以或訓練29訓練30—訓練3112.203.(1)PA:x+y-1=0,PB:7x-y-15=0訓練32訓練33訓練34訓練35訓練362.4.-2sin2x+2·32r+1In3訓練3712.3.2sin(2x+5)+4.xcos(2x+5)4.(ln3+1)3*e-1n2·25.訓練38訓練39訓練401.K2≈18.1822.K2≈6.593訓練41訓練42;事由已知得x=5,y=13,事;事訓練43工42中42中;:事;:事;;Y05P訓練44ξ0234P244X2345P訓練452n2+1,所以3">2n2+1(n≥3,n∈N*).注這里以第1題為例：2.5≤r≤63.訓練474.(1)(7b—8a)(7b+8a)(2)3a(x+3y)2(3)(7x+2)(訓練481.11762.8.534524.(1)2x(x+2)(x—2)(2)(a+2b)(a-2b)(則f(x)>f(0)=0,g(x)>g(0)=0訓練49訓練50訓練51.5.6.(1)(x—1)2+(y+2)2=5(2)(x-2)2+(y(3)(x-m)2+(y+2n)2=m2+4n27.√58.m=(A2+B2)[(x?—x)2+(y?—y)2]訓練52或或a=4;(2)2個解：a>4或a=0;(3)1個解：a無解；(4)0個解：a<0.14.(x+2)(x+3)(x-1)(x-2)訓練531)(x2-x+1)(x?-x2+1)(3)(1-3x)(x+1)(4)(x+2y+3)(x+y+2)66注這里以第4題為例：yybC訓練55工)2.y≤13.√54.(1)0(2)2(3)1(4)85.(1)1.12.2或53.—60<a-2b<30;4.a=—6,b=—1;x≤-6或x≥15.a=3,b=6(4)<(5)<10.證明：在平面直角坐標系xOy內作以原點為圓心的單位圓，以Ox為始邊作角a,β,它們OA·OB=(cosa,sina)·(cosβ,sinβ)=cosa訓練58訓練598.i9.1或39.14410.-111.212.2√213.士√514.(48-32√2)π訓練608.(1)(x+a+1)(x+1)(2)(ax+1)(x+2)9.訓練611.82.3.0.24.5.(-1,2)6.(1)log3.82.5<log2.g2.9<log2.84.6注即訓練62訓練63訓練64訓練65訓練66訓練67訓練6889.2-10.89.2-10.(1,+○)14.過定點(1,2)訓練69訓練70半徑為1的圓的一部分(右半圓).4.805.x2+y2+2x-2y=06.圓心坐標是,半徑是訓練712.是3.(0,2)4.(-1,2)5.9.-210.[0,4]11.(-0,-2)U(-2,1)U(1,+訓練72訓練732.2(a-2)23.24.2√35.1106.57.±2√3訓練74(3)7或811.證明：因為α+β=π,sina=sinβ,所以訓練7512.74.23.-24.(1)(一x2+3)e2-*(2)(3)5.6.(1)訓練76訓練77訓練781.22.83或一853.8.(1)(y-6)2(2)(x+3)2(3)(x-3y)2(x+3y)2(4)(y+2)2(y-2)2(5)2ab(a-b)2(6)(m一訓練79工2.[-13,13]3.(1)<(2)<4.必要不充分5.(0,3)6.(1)-1(2)47.x2+y2-6x=08.69.-202210.12.(n+1訓練8197.am=2”—18.1209.√210.4tanA+tanB=tan(A+B)(1—tantanA+tanB+tanC=—tanC(1—tanAtan訓練82訓練83(2)-2<x<1或x>3(3)x<1(4)x<1.52.73.11訓練84訓練851.2或-12.>3.4454.(-1,0)U(1,+0)5.(-0,4)U(8,+o)6.7.訓練86訓練87訓練88訓練89訓練90訓練91訓練92訓練9311.(1)(x—5y+2)(x+2y-1)(2)(x+3y-2)訓練941.4或±22.{0,1,2}3.124.)5.6.1.(1)(x-a)(x+2)(2)(x-a)(x—1)(3)(x-a)(x+12.Vx∈R,7x2-2x+1>03.O4.0.65.26.167.x=-1,3或x≥48.1+2i9.110.2訓練961.72.13或一53.24.-3a2b?5.-46.-287.-58.109.10.an=6n—111.a=12.x=0或3x+4y=013.3x+y-6=014.y訓練971.-0.14412.(1)(2,3)(2)(-2,-1)U(5,+0)(3)x≤-3或x=3(4)(0(6)2√2(7)(-0,0)U(1,+c)3.4.5.)(k∈Z訓練98訓練99訓練1003.(-c,1)4.3.(-c,1)4.訓練1011.82.193.10或4.-85.36.47.28.(-0,1)9.訓練1021.(0,+一)2.3.4.2√2+15.6.3x2-3*In37.訓練10312.y=2sin(4x-3)13.114訓練1043,3√2+3]12.913.(√2,+α)14.略訓練1051.3≤≤122.√-x3.104.x<45.[√6,2√3]6.a>c>b