2019-2020学年河南省许昌市高二（下）期末数学试卷（文科）（附答案详解）

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2019-2020
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3ÑᫀÎ᪆1.ூÑᫀ௃BூÎ᪆௃ÎLB={Í|<1}={x|x<0ᡈx21},1•/I={-2,0,-,4),•••anB={-2,4},ᦑ⌱LBᐜÎuOUᓄÛ8,Ü᪷ÞÏḄßJMᓽà.⚪ὃ`ãÏäᐸfåæçèÏḄß!Îé⚪Ḅᐵê.2.ூÑᫀ௃DூÎ᪆௃ÎLëᦪzìí(l—V^)z=«+i,/+i(î+i)(l+0)“"-11ï—(1-V2i)(l+V2i)_y[2+i+2i+V2i2=1-2i2=i,A\Z\=1.ᦑ⌱LD.ᑭᵨëᦪḄfåòᑣJMz,ÜᵫëᦪḄó¤ôJÎ.é⚪ὃ`ëᦪḄfåòᑣOõẠ÷ὃ`fåJÎ{ø!õẠ⚪.3.ூÑᫀ௃BூÎ᪆௃ÎLsin(*^)=sin(57r-2)=sin6=±ᦑ⌱LB.ᵫᑭᵨúûTUᓽàJÎ.é⚪ὃ`ãúûTUᙠÀ·ᦪᓄüJ@FḄýᵨþ¦õẠ⚪.4.ூÑᫀ௃CூÎ᪆௃ÎLc¦(1),/(x)!ᕜÿᦪᑣf(x)ᦪ᝞/(x)=cosx,ᦑ┯(2),ᵫ᜻ᦪḄឋᐸᐵᦑ(3)!஺!#ᳮᦪᑣ%&#ᳮᦪḄ⌮ᔲ)⚪!+,-ᨵᳮᦪᑣ“!ᨵᳮᦪ!0)⚪ᦑ)⚪!0(4)!ᵫa>bna+c>b+c,12ᵫa+c>b+cna>b,ᡠ4"a>6"“a+c>b+c”Ḅᐙ⌕ᩩ8ᦑ.:4⚓ᐳ14⚓

4ᦑ⌱+c.(1)?@AB(2)᜻ᦪḄឋᑨDᓽ(3)ᑨD⌮ᔲ)⚪Ḅ0Ꮇᓽ(4)ᵫGHḄឋIᐙ⌕ᩩ8ḄᑨᓽᑨD.J⚪ὃLM)⚪Ḅ0ᎷḄᑨDNOẠ⚪.5.ூRᫀ௃CூU᪆௃U+᪵J(r,l)ḄXY!2r+a-1,᪵J(l,s)ḄXY!2+a-s,Z⚪[2r+a—l=2+a—s,ᦑs=-2r+3,ᦑ⌱+C.ᑖ]^_`aXY᪷cXYdeᑡghᵫi_j⌱⚗.Jl⚪m⌕ὃLXYḄnoὃLghḄpqNOẠ⚪.6.ூRᫀ௃CூU᪆௃U+rᓃ(?71,v3+m2),/(x)=x3+x-2Ḅwᦪ!/'(x)=3y2+1,_ᑗ{Ḅ|᳛!k=3m2+l,ᵫᑗ{~{y=4x+1,_37n2+1=4,U_m=±1,ᓽᨵPoḄᙶ᪗!(1,0)(-1,-4).ᦑ⌱+C.r%(3+2),^j/Xx)Ḅwᦪ_ᑗ{Ḅ|᳛ᵫ`{~Ḅᩩ8+|᳛dGUghᓽ_ᑮᡠ^ᑗḄᙶ᪗.J⚪ὃLwᦪḄᵨ+^ᑗ{Ḅ|᳛eὃL`{~Ḅᩩ8+|᳛dGὃLoNOẠ⚪.7.ூRᫀ௃BூU᪆௃U+01,b=log2a=lg2)>•-0:.sinb1,00)ᑨDaᦪḄᜧlᐵ.J⚪ὃLMᦪᦪḄᓫឋஹᦪஹᢣᦪoIᦪḄὃLMno

5NOẠ⚪.8.ூRᫀ௃CூU᪆௃U+஺⊈4A⊈Ḅ40.35+0.28=0.63.ᦑ⌱+C.᪷c⚪[஺⊈4A⊈Ḅ4noᐸᭆ᳛dᓽ.J⚪ὃLM¡ᐺᭆNOẠ⚪.9.ூRᫀ௃CூU᪆௃U+y=V3cos2x+sin2xV31=2(—cos2x+-sin2x)TC—2sin(2x+—)=2sin(2(x+£)ᦑ◤¦ᦪy=2sin2xḄ§ᔣ©~ªgaᓫ«¬_ᑮ6ᦑ⌱+C.ᵫឤG¯ᣚ±Hᓄ³_y=2sin(2(x+))᪷cy=Asin(^a)x+9)Ḅ§¯ᣚ´µ_ᑮ¶·.J⚪m⌕ὃLᦪy=Asin(ay+஺)Ḅ§¯ᣚ´µNOẠ⚪.10.ூRᫀ௃DூU᪆௃U+¸2xy-6x—y-13=0,ᑣ(2%-l)(y-3)=16,2%+y-6—(2%-1)+(y-3)-2N2.yJ(2.x—l)(y-3)-2=6.¹º»¹¼½1¿½)=16,ᓽCÁ,ᨬlÄ6ᦑ⌱+D.ᵫ⚪[_(2x—l)(y-3)=16,ᵫOJGH2x+y-6=(2x-1)+(y-3)-2>27(2%-l)(y-3)-2^Uᓽ.J⚪ὃLMOJGHḄÅᵨOẠ⚪.11.ூRᫀ௃AூU᪆௃ூᑖ᪆௃J⚪ὃLÆᙊḄឋm⌕ÈÉ᳛ḄᵨὃLÊᓄpqoNË᫏⚪.rÆᙊḄÍaᯖ!F'(—2,0),ᵫÆᙊḄ_2a=\PF\+\PF'\,ᓽ|PF'|=2a-:6⚓ᐳ14⚓

6\PF\,_|P4|-|PF|=8-2a,ᵨᐳ{×_ᨬÄUGH_஺ḄÙᵫÈÉ᳛±H_ᡠ^Ù.ூUR௃U+Æᙊ+'=l(a>b>0)Ḅaᯖ”2,0),Íaᯖ!à'(2,0),ᵫÆᙊḄ_2a=\PF\+\PF'\,ᓽ|PF'|=2a-\PF\,_|Pá-|PF'|=8-2a,1^\\PA\-\PF'\\<\AF'\=1,_—1W8—2a41,U_:0.f(x)ᓫ⌴ò;¹-ᐔ2ᦑ⌱+C.ᐜẆûᦪḄឋüýᦪaᏔᦪᵫ/''(>)=2x+2sinx,ᙠÿ0,ᐔ/''(x)>0,/(Xi)ὃ"?@ABCஹᳮFGBCὃ"ᑖI*᦮ᔠLMஹᓄO*PᓄLM-.Q᫏⚪.13.ூUᫀ௃1.53ூ᪆௃Zᡃ\12]ᵱ_Ḅ`ᙳbcdZ-1x=J)஺*so஺(300x1.50+500X1.55)»1.53(m).ᦑUᫀdZ1.53.ᑭᵨkᩗ`ᙳᦪBAmn.

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