2021-2022学年山东省济宁市汶上县九年级（上）第一次月考数学试卷（附答案详解）

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2021-2022
ḕᓭ
ᨴὃᦪᔁ
⚗1.ᔁὃ!"#$Ḅ&'ஹ)ὃ*+,ᑏᙠ⚪ᓱ஺2.2⌱4⚪5⌱678⚪ᫀ:ᵨ<=>⚪ᓱ?@⚪AḄᫀ᪗+CDE᝞◤ᦋIᵨJKLMN:O⌱CᐸQᫀ᪗+஺2R⌱4⚪5"ᫀᑏᙠ⚪ᓱᑏᙠᔁSᦔ஺3.ὃUV:WᔁX⚪ᓱYZ2஺Iᔁ⌱⚪ஹ⌱4⚪Wᜧ⚪ᐳ108⚪ᐳ30.0ᑖ஺ᙠ78⚪ᑡ6Ḅ⌱⚗⌱6`ᔠ⚪AḄ⚗1.bc2/6%=9Ḅd⚗eᦪஹ⚗eᦪஹfᦪ⚗ᑖghA.6,2,9B,2,-6,9C.2,6,9D.2,-6,-92.iᑡᔜkylxḄdmᦪḄhA.y=—9+x2B.y=-2x+1C.y=Vx2+4D.y=—x+1
+33.ᐗdbcX26x-6=0ob:ᓄhA.x-3
2=15B.q37=3C.x+3
2=15D.%+3
2=34.rᐵtxḄᐗdbcax?+bx+6=0Ḅu᪷hx=—2,ᑣxᦪk6a—3b+6ḄyhA.9B.3C.0D.-35.z{ᐵtxḄbca-1
/2x+1=0ᨵ}ᦪ᪷ᑣaḄ~ylA.a<2B.a>2C.a<2ar1D.a<-26.ᓬ1ᨴḄ⃩h50ᐗz{Ḅ⃩ᐳ600ᐗ᝞ᙳ7ᨴ᳛hx,ᑣᵫ⚪ᑡbc@hA.501+x2=600B.50[1+1+x
+1+%
2]=600C.50+50x3x=600D.50+50x2%=600

17.z{3lᐵtxḄbcX2a+lx+2m=0Ḅu}ᦪ᪷Y¤ubcḄ¥u}ᦪ᪷ា§l¨ῪAABCḄ¥ᩩ®Ḅ®ᑣAABCḄᕜhA.7B.10C.11D.10ᡈ118.´ᱥ¶y=3/ᔣº»1uᓫ½Oᔣi»2uᓫ½ᡠ¿ᑮḄ´ᱥ¶lA.y=3x-l2-2B.y=3x+l2-2C.y=3x+1/+2D.y=3%-l2+29.᝞Ä8ÅÆᑜᙠᙽh32m,Êh20mḄËÌÍᙢÏÐÑᩩÒ᪵ÊḄ⍝Õᒕ×ḄÍᙢØÙ₝ÛÜ₝ÛḄ☢Þh570n2,rá⍝ÕḄÊhq᪷ᑣi☢ᡠᑡbcâãḄll()A.(32-2x)(20-x)=570B.32%4-2X20%=32X20—570C.(32-x)(20-x)=32x20-570D.32%+2X20%—2%2=57010.mஹnlbck2019%-1=0Ḅ᪷ᑣ(è2—2019m+3)•(n2-2019n+4)Ḅyh()A.16B.12C.20D.30nᔁ(⌱⚪)dஹ,Í⚪Wᜧ⚪ᐳ58⚪ᐳ15.0ᑖ11.>bc2ë=3x_1ᓄhíÌk¿î12.rm++2—1=0lᐵtXḄᐗdbcᑣznḄyl.mx13.áðஹ&lbc5--3ò-2=0Ḅ¥u}ᦪ᪷ᑣ஺Ḅyh.14.᝞Äó®ô¨ḄËÌõᙇ4BCD,÷Ḅ®4஺ᑭᵨzᨵᜋḄᜋú᜜Ñ®ᡠḄ᪕ýḄl6nl.rËÌḄ☢Þh4m2,ᑣ48ḄlmþᑭᵨḄᜋÿ6m.B'-----------------'C

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ᐭ+xj=(%i+x2)2~r22XX=16+%/2§)tᓽ6"¹Ḅ£.X218.ூᫀ௃N(1)C2017ᑮ2019ùúûüᙳᦈᐭḄùᙳÿ᳛x,᪷⚪20000(1+x)2=24200,%1=0.1=10%,2=-2.1(ᔠ⚪).2017ᑮ2019ᙳᦈᐭḄᙳ᳛10%.(2)24200x(1+10%)=26620(ᐗ).⚜2020Ḅᙳᦈᐭ!26620ᐗ.ூ᪆௃(1)&2017ᑮ2019ᙳᦈᐭḄᙳ᳛x,᪷2017Ḅᙳᦈᐭ20000ᐗ2019Ḅᙳᦈᐭ24200ᐗᓽ()ᐵ+xḄ,ᐗ-./012ᐸ456ᓽ()789(2)ᵫ2020Ḅᙳᦈᐭ=2019Ḅᙳᦈᐭx(1+ᙳ᳛)ᓽ()78.<⚪ὃ>?,ᐗ-./0Ḅ@ᵨ⚪ḄᐵB!(1)CDEFᐵGHIᑡ),ᐗ-./09(2)᪷ᦪFᐵGᑡLMN.19.ூᫀ௃&Q⍝SḄTU2x/n,ᑣW⍝SḄTU3Xm,YZ₝\Ḅ]ᑖ(ᔠᡂ(30-2x3x)m,T(20-2x2x)mḄ`ab⚪(30-2x3%)(20—2X2x)=[x30x20,᦮ᳮ(5-x)2=y,/=|,h=ijᔠ⚪)

132x=2x-1=5,3x=3x1=k.Q⍝SḄTU5m,W⍝SḄTUkm.ூ᪆௃&Q⍝SḄTU2x/n,ᑣW⍝SḄTU3xm,YZ₝\Ḅ]ᑖ(ᔠᡂ(30-2X3x)7n,T(20-2x2x)mḄ`a᪷₝\Ḅ☢m!ᙢ☢☢mḄoᑖ1,ᓽ()ᐵ+”Ḅ,ᐗ-./01ᓽ()xḄ6qᐸjᔠ⚪Ḅ6rᐭ2x,3xsᓽ(t)78.<⚪ὃ>?,ᐗ-./0Ḅ@ᵨCDEFᐵGHIᑡ),ᐗ-./0!⚪ḄᐵB.20.ூᫀ௃(1)uᜩwᑭ(50—3)x(30+2x3)=1692(ᐗ).yzᜩᖪ|}~3ᐗuᜩ(ᑭ1692ᐗ9(2)2x9(50—%)9(3)᪷⚪(50-x)x(30+2x)=2000,᦮ᳮX2-35%+250=0,=10,x=25,X12•••ᖪ⌕x—25.}~ᖪ|25ᐗᖪwᑭ(ᑮ2000ᐗ.ூ᪆௃<⚪ὃ>?,ᐗ-./0Ḅ@ᵨ᪷ᦪFᐵGᑡ),ᐗ-./0(ᡈNL)!⚪ḄᐵB.(1)᪷“wᑭ=ᓫ~ᑭx├ᦪF”ᓽ()789(2)᪷“}~ᖪ|}1ᐗᖪᙳ}ᜩ()2~”7ᔠ}~ᖪ|xᐗᓽ(C)EI├FḄ~ᦪ᪷ᩭ}~wᑭ50ᐗᓽ()Ḅ}~wᑭ9(3)᪷“wᑭ=ᓫ~ᑭx├ᦪF”ᓽ(ᑡ)ᐵ+xḄ,ᐗ-./01ᓽ()xḄ6᪷ᓽ(IxḄ6.ூ௃(1)ᫀ9(2)•••}~ᖪ|}1ᐗᖪᙳ}ᜩ()2~.••&}~ᖪ|%ᐗᑣᖪ├F2x~}~ᖪ|wᑭ(50-¡ᐗ.ᦑᫀ2x9(50-x)9

14(3)ᫀ.21.ூᫀ௃(1)ᣚᐗ9¦ᓄ9(2)&X?=y,/0(ᓄy2—y—6=0,%=3,y=2,2"x2=y>0,-=3,B|lx2=3,ᑣx=±V3.ூ᪆௃(1)ᙠᵫ/0ᑮ/0জḄµ0sᑭᵨᣚᐗ¶ᑮ?.Ḅ·Ḅ¸¹?¦ᓄḄᦪº»¼9ᦑᫀᣚᐗ9¦ᓄ9(2)ᫀ.(1)ᙠᵫ/0ᑮ/0জḄµ0sᑭᵨᣚᐗ¶ᑮ?.Ḅ·Ḅ¸¹?¦ᓄḄᦪº»¼9(2)&x2=y,/0(ᓄᐵ+yḄ/0t)/0ḄᑮyḄ6ᓽ(I)xḄ6.½⚪ὃ>?ᣚᐗ¶,ᐗ-./0¾¿▅Á⚪sḄ¶!<⚪ḄᐵB.22.ூᫀ௃:᪷⚪,ÃBP=AB-AP=5-t,BQ=2t.(1)&tÅÆPBQḄ☢mE+4cm2,᪷ÌÍaḄ☢mÎLgPBBQ=4,t(5—t)=4,t25t+4=0,t=lÅᡈt=4Å().ᦑ1ÅÆPBQḄ☢mE+4cm29(2)&tÅPQḄUE+5cm,᪷ÒÓᳮPQ2=BP2+BQ2=(5t)2+ফÕ=25,5t2lot=0,vt*0,■■t=2.

15ᦑ2ÅPQḄUE+5cm9(3)᪷ÌÍaḄ☢mÎLPBBQ=7,t(5-t)=7,t?-St+7=0,4=(-5)2-4xlx7=-3<0.ᦑ^PBQḄ☢mÚE+7cm2.ூ᪆௃(1)᪷⚪⊤Ü)BPஹBQḄ᪷ÌÍaḄ☢mÎLᑡ/0ᓽ(9(2)᪷⚪⊤Ü)BPஹBQḄ᪷ÒÓᳮᑡ/0ᓽ(9(3)᪷⚪⊤Ü)BPஹBQḄ᪷ÌÍaḄ☢mÎLᑡ/0ᓽ(.ὃ>?,ᐗ-./0Ḅ@ᵨ½⚪⌕ÚÞHICᑮßᡠáµḄS0âãäᵨÒÓᳮåæÍÌÍaḄ☢mÎLᑡ/0t.