2021-2022学年河北省承德九年级（上）第一次月考数学试卷（含解析）

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2021-2022
ᓅḕ
ᨴὃᦪᔁஹ⌱⚪.ᜧ⚪ᨵ16⚪ᐳ42ᑖ.110⚪ᔜ3ᑖ1116⚪ᔜ2ᑖ.ᙠ%⚪&'Ḅ)⌱⚗+ᨵ⚗,-ᔠ⚪/⌕1Ḅ1.3ᑖ23஻?-1
/+27-3=0,ᐵ9xḄ•ᐗ<23ᑣA.?#±1B.m=1C.mW-1D.@#12.3ᑖA23*x2=17-3xᓄᡂDEFG<⚗ḄHᦪI2ᑣJḄ⚗,A.-3B.3C.-3xD.3x3.3ᑖKᑡᔜMNᙠ<Oᦪ=-x2+2x-1ḄPQḄ,A.(0,-1)B.(1,0)C.(2,-1)D.(3,0)4.3ᑖKᑡRSᦪḄT,23/+W-3=0Ḅ᪷,A.x=-2B.x=-1C.x=lD.x=25.3ᑖYᱥ[y=-3/+6x+2Ḅ\]^,A._[x=2B._[x=-2C._[`=1D._[x=-16.3ᑖaSx=-1,23N+/nx+l=0Ḅbᦪ᪷ᑣ஻?ḄT,A.0B.1C.2D.-27.3ᑖKᑡYᱥ[⚔Mᙶ᪗I1,a
Ḅ,()A.y=x+l
2fB-y=(x-l)2-yc-y=-x-l
2fD-y=-(x+1)2-^-8.3ᑖaSMA1,yi
,B2,”ᙠYᱥ[y=-x+1
2+2ᑣKᑡjklmḄ,A.2>y\>yiB.2>yi>y\C.y\>yi>2D.y2>y\>29.3ᑖAx=2,23N-o/+2஻=0Ḅ᪷ᑣ஻ḄTIA.-2B.0C.2D.pqmr10.3ᑖ<Oᦪy=2x+2
2-1ḄPQ,)

111.2ᑖᐵ9u=-1Ḅ23N+2x-,”=0ᨵzN{|Ḅbᦪ᪷ᑣ᪷ḄT}W,A.-3B.-2C.-1D.012.2ᑖ23N-9x+14=0Ḅz᪷ᑖ,|ῪEḄῪᑣEḄᕜIA.11B.16C.IIᡈ16D.Nmr13.2ᑖaS<Oᦪy=+2+%ᑣKᑡqlmḄ,rA.OᦪPQᔣB.OᦪPQᔣ2ᓫ,y=-x+12+5C.¡x=l£yᨵᨬᜧT5D.OᦪḄPQ¥ᙶ᪗^ᨵz¦M14.2ᑖ§¨b©“«¬ᢄ®”¯°Wᩭ²³®´µ¶ᔣ·¸¹Ḅ⍝».¼ᙢ¾2016
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2জac>0ßঝ4a+b=0ßঞa+8+c>0ßট\9äÐbᦪ஻?åᨵ(am+b)W2a+b.<ஹæç⚪.ᜧ⚪ᨵ3ᜧ⚪ᐳ12ᑖ.1718⚪ᔜ3ᑖß19⚪ᨵç%ç2ᑖ17.3ᑖéYᱥ[ê=9ë+22+2ᐜᔣ2ᓫíᔣ3ᓫGÑᑮḄïYᱥ[Ḅð᪆FI.18.3ᑖᵨó2qé<Oᦪy=N-8x-9ᓄIy=a%-/?2+kḄEFIô.19.6ᑖõSOᦪy=or+6abWO<Oᦪy=or2+bx-2,ᐸOᦪḄPQùÁஹஹ)Q▲.1<OᦪPQᙠy^ḄûüýᑖþÿxḄᜧ2ᦪḄ⚔ᡠᙠḄ▲▲3ᦪᦪḄᨵ.ஹ!⚪.#ᜧ⚪ᐳ7%⚪&ᐳ66ᑖ.!(ᑏ*ᦻ,-.ஹ/.01ᡈ345620.8ᑖᵨ〉;<=>ᑡ<11x2+6x-40=02x-42=5-2r2.21.8ᑖ᝞&IJKᱥMy=-N+Ḅ+5xPQA,BS&yPQC,8Ḅᙶ᪗X5,0.1YZḄ[\KᱥMḄ⚔ᙶ᪗.2PKᱥM^_P/aḄb&;PA+PCḄ[ᨬ%d&YPḄᙶ᪗.

322.9ᑖIJᐵQxḄᐗ<1N-3x+k=0ᨵiᦪ᪷.1Yiᦪ&Ḅl[n2᝞opqᔠᩩtḄᨬᜧ᦮ᦪ&YN-3x+A=0Ḅ.3ᙠ2Ḅᩩt>&wᐗ<1Cm-1/+x+஻?-3=0<1/-3x+2=0ᨵ{|Ḅ᪷&Y}dmḄ[.23.9ᑖ~ᑖᙠA,BS|&ᐳ100t.4Ḅᡂ#yᐗᦪxtᐹᨵᦪᐵy=ax2+6x.;=10d&y=400;x=20d&y-1000.8Ḅtᡂ#X70ᐗ.1Ya,bḄ[2;4,BSᢇḄᡂ#Ḅᨬd&YA,BSᔜt24.10ᑖ᝞&ᙠA8CD&AB=6cm,BC=4cm,bPA*&2c»i/sḄ¥¦§ABᔣB©b&|d&஺C*&lcm/sḄ¥¦§CDᔣD©bPᑮ¬B®d&஺¯°®±b&²P±bdX1³.1´Y;&Xµ[d¶·AP஺஺X2PஹQS*¹d&MºPQḄ¹¦X5c/n.25.10ᑖ2020¼&ᡃ¾ῃÀÁÂᙠæஹĦஹŦÆǦaȬᑮÉÊḄËÌ,ÍÎÏŦÀÐᙢÒῃÀÓ1.ÔÕÖ&×ØÙᳮÛÃܲÝÞᡂᦔ&ÆÇᢄÀஹÆÇῃÀláâẚឋÓå.XæÃᡃÏῃÀÁÂ&~᩟᩟èéᙠêaëì├îï᩟ðñòóᒹ&ï᩟ᙠõ¼1ᨴ÷├î256ᒹ&2ஹ3ᨴïóᒹᓝᑖᵹ├&├îᢝûüý&ᙠîþÿḄẠ3ᨴḄ├ᑮ400ᒹ.12ஹ3ᨴ├Ḅᨴᙳ᳛!“#,%aḄ'(2)*+,ᒹ-ᒹ./25ᐗ2/!-ᒹ40ᐗ3᩟ᙠ674ᨴ.89/:├,

4<=>?@3)*+,ᒹ/Aᙠ3ᨴḄẠ-ᒹ9/1ᐗ├BC5D,E)*+,ᒹ-ᒹ9/FGᐗHI)*+ᙠ4ᨴBJᑭ4620ᐗM26.(12ᑖ)Q1,RᱥTy=-/+Z+3[x]^_A,8b[y]^_bC.(1)%bA,B,CḄᙶ᪗.(2)f!gTBCiRᱥTḄjkbElP8CḄ☢oᨬᜧH%bfḄᙶ᪗((3)M!3RᱥTḄ⚔bO!RᱥTḄuv][x]Ḅ^b᝞Q2ᡠyᙠgTzᔲ|ᙠbN,~bNᑮgTḄ_bNᑮbAḄM|ᙠgᑏbNḄᙶ᪗(|ᙠᳮᵫ.

52021-20227ᓅḕ7jᨴὃᦪᔁὃᫀ⚪᪆jஹ⌱⚪.ᜧ⚪ᨵ16⚪ᐳ42ᑖ.110⚪ᔜ3ᑖ1116⚪ᔜ2ᑖ.ᙠ-⚪£Ḅ¤⌱⚗¦ᨵj⚗z§ᔠ⚪©⌕%Ḅ1.3ᑖi«஻[-1
N+2M?X-3=0zᐵ_xḄjᐗ¯i«ᑣA.mW±1B.m=1C.-1D.ூᑖ᪆௃᪷µjᐗ¯i«Ḅ¶·¸ᑮᐵ_஻?Ḅº»¼ᓽB.ூ»¾௃»¿᪷µ⚪À¸¿m-1W0,»¸¿CW1,ᦑ⌱¿D.2.3ᑖi«/x2=17-3xᓄᡂjÄźÆ¯⚗ḄÇᦪ!ÈᑣÉḄj⚗zA.-3B.3C.-3xD.3xூᑖ᪆௃ᐜ᪷µË⚗ᓄᡂÌ2+3X-17=0,͸¾ᫀᓽB.ூ»¾௃»¿i«^2=17-3ÏᓄᡂjÄź!¿^-x2+3x-17=0,ᑣj⚗z3x,ᦑ⌱¿D.3.3ᑖÐᑡᔜbᙠ¯Òᦪy=-N+2X-1ḄQÓḄzA.0,-1
B.1,0
C.2,-1
D.3,0
ூᑖ᪆௃Ôᔜ⌱⚗bḄÕᙶ᪗Öᐭ»᪆ºØÙᙶ᪗ᓽBᑨÛbzᔲᙠ¯Òᦪy=-x2+2x-1ḄQÓ.ூ»¾௃»¿ᙠy=-N+2rlÜÝ=0¸Þ=-1,/.0,-1
ᙠ¯Òᦪy=-7+-1ḄQÓA§ᔠ⚪À(Ü1=1¸*-1+2-1=0,L0
ᙠ¯Òᦪy=-/+2x-1ḄQÓ8§ᔠ⚪À(Üx=2¸y=-4+4-1=-1,

62,-1
ᙠ¯Òᦪy=-/+2x-1ḄQÓC§ᔠ⚪À(Üx—3¸y=-9+6-1=-4,3,0
ᙠ¯Òᦪy=-/+2x-1ḄQÓ஺§ᔠ⚪À(ᦑ⌱¿D.4.3ᑖÐᑡàáᦪḄ'zi«N+2x-3=0Ḅ᪷zA.x=-2B.x=-1C.x=1D.x=2ூᑖ᪆௃ᑭᵨᓝäåæçÔi«Ḅèéêºᑖ»ëì¸ᐵ_xḄjᐗji«,Í.jí%»ᓽB.ூ»¾௃»¿,12+2%-3=0,x+3
x-1
=0,îijx+3=0ᡈx-1=0,»¸xi=-3,X2=l,ᦑ⌱¿C.5.3ᑖRᱥTy=-3/+6x+2Ḅuv]zA.gTx=2B.gTx=-2C.gTð=1D.gTx=-1ூᑖ᪆௃ÔRᱥTḄjĺñiᡂ!⚔bºBò¶⚔bᙶ᪗óuv].ூ»¾௃»¿Vy=-3N+6X+2=-3x-1
2+5,¯RᱥT⚔bᙶ᪗!1,5
,uv]!x=l.ᦑ⌱¿C.6.3ᑖôáx=-1zi«/+஻a+1=0Ḅjõᦪ᪷ᑣ"Ḅ'zA.0B.1C.2D.-2ூᑖ᪆௃÷x=-1Öᐭi«ø2+Cù1=0¸1-%+1=0,%i«Ḅ»ᓽB.ூ»¾௃»¿÷ð=-1Öᐭi«/+u+1=0¸¿1-=0,»¸¿ú=2,ᦑ⌱¿C.7.3ᑖÐᑡRᱥT⚔bᙶ᪗!1,ÈḄzA.y=x+l
2ûB,y=x-l
2üC.y=-x-l
24D.y=-x+l
2ýூᑖ᪆௃᪷µᔜ⌱⚗Ḅ⚔bºBZᑏåþḄ⚔bᙶ᪗ÿ
ᑨ⌱⚗

7ᔠ⚪.ூ௃y=(x+1)2+5Ḅ⚔ᙶ᪗(-1,)ᦑ⌱⚗4ᔠ⚪!22y=(-J)2"£Ḅ⚔ᙶ᪗(1,-1),ᦑ⌱⚗3ᔠ⚪!Xy=-(x-1)2+aḄ⚔ᙶ᪗(1,$)ᦑ⌱⚗Cᔠ⚪!y=-(x+l)2-aḄ⚔ᙶ᪗(-1,ᦑ⌱⚗Dᔠ⚪!ᦑ⌱C.8.(3ᑖ)&'A(1,yi),8(2,”)ᙠ)ᱥ+y=-(,+1)2+2-ᑣ/ᑡ1234Ḅ5()A.2>y\>y2B.2>yi>y\C.yi>”>2D.yi>y\>2ூᑖ᪆௃ᑖ789:;<1=2>?Ḅ@ᦪBᯠD>ᔜ⌱⚗FGᑨ.ூ௃Hx=lIyi=-(x+1)2+2=-(1+1)2+2=-2Hx=2Iyi=-(x+l)2+2=-(2+1)2+2=-7ᡠ2>yi>y2.ᦑ⌱A.9.(3ᑖ)Kx=25LM/-OP+2஻=0Ḅ"᪷ᑣ஻l஻ḄB()A.-2B.0C.2D.TU4Vூᑖ᪆௃᪷W"ᐗYZLMḄḄV[\ᑍ=2^ᐭ"ᐗYZLM`-ἔ"2஻=0,ᓽ
cdm+nḄB.ூ௃:L25"ᐗYZLMN-᝞:+2஻=0Ḅ"᪷.•x=hi"ᐗYZLMN-/wv+2n=0,/.22-2m+2஻=0,**.m-஻=2ᦑ⌱C.10.(3ᑖ)YZ@ᦪy=2(x+2)2-1Ḅjk5()

8ூᑖ᪆௃ᐜ᪷W᪆m4V)ᱥ+Ḅ⚔ᙶ᪗ஹ>opᯠD>jkFGq2⌱r.ூ௃•.t=2>0,.•.)ᱥ+z{Lᔣᔣ-!•.•YZ@ᦪ᪆my=2~x+22-1,⚔ᙶ᪗~-2,-1,>opx=-2.ᦑ⌱C.11.~2ᑖᐵ=-1ḄLM/+-m=0ᨵḄᦪ᪷ᑣ᪷ḄB
5~A.-3B.-2C.-1D.0ூᑖ᪆௃✌ᐜ᪷W⚪cdᑨ7m=4+4஻?>0,ᯠD᪷W>€0LMᨵḄᦪ᪷!cdᫀ.ூ௃b—2,c--m,=b2-4ac=22-4X1X~-—4+4m,:ᐵxḄLMx2+2x->n=0ᨵḄᦪ᪷.\4+4m>0>d>-1,ᑣ஻ḄB
50,ᦑ⌱D.12.~2ᑖLM/-9x+14=0Ḅ᪷ᑖ75ῪḄ=Ὺᑣ¡Ḅᕜ£~A.11B.16C.11ᡈ16D.¦4Vூᑖ᪆௃ᐜᑭᵨ©mᑖULMcªxḄB«ᑖ¬q2c
d.ூ௃•••X2-9X+14=0,~x-2~x-7=0,¯2=0ᡈx-7=0,

9dx=2ᡈx=7,HῪḄῪ£2,°£7,±I2+2<7,¦᪀ᡂµ¶!HῪḄῪ£7,°£2,±Iᕜ£7+7+2=16,ᦑ⌱B.13.(2ᑖ)&'YZ@ᦪy=-X2+2X+4,ᑣ/ᑡ·U34Ḅ5()A.¸@ᦪjkz{ᔣ-B.¸@ᦪjkᔣ¹º»2ᓫ½£¾5y=-(x+1)2+5C.Hx=lIyᨵᨬᜧB5D.¸@ᦪḄjkÂᙶ᪗pᨵÃூᑖ᪆௃\⚪ÄÅḄ@ᦪ᪆mᓄ⚔mᯠD᪷WYZ@ᦪḄឋÈᓽ
ᑨᔜ⌱⚗ÅḄ·U5ᔲ34Ê⚪dË.ூ௃•.•YZ@ᦪy=-x2+2x+4=-(x-1)2+5,,¸@ᦪḄjkz{ᔣ/ᦑ⌱⚗Aᔠ⚪!¸@ᦪjkᔣ¹º»2ᓫ½£¾5y=-(x-1-2)2+5=-(%-3)2+5,ᦑ⌱⚗Bᔠ⚪!Hx=lIyᨵᨬᜧB5,ᦑ⌱⚗Cᔠ⚪!22-4X(-1)X4=20>0,¸@ᦪḄjkÂᙶ᪗pᨵÃᦑ⌱⚗஺ᔠ⚪!ᦑ⌱C.14.(2ᑖ)ÎÏГÒÓᢄÕ”×ØᩭÚÛÕÜÝ{ÞᔣßàáḄ⍝ã.äᙢæ2016çᨵÕÜÝ{9èÝ,éêëìᔜíḄîï2018çÕÜÝ{ñòó1èÝ.ô2016çó2018ç¸ᙢæÕÜÝ{Ḅçºᙳ/ö᳛x,᪷W⚪ᑡLMd()A.9(1-2x)=1B.9(1-x)2=1C.9(1+2%)=1D.9(1+x)2=1ூᑖ᪆௃<ᐵø2016çÕÜÝ{ù(1-/ö᳛)2=2018çÕÜÝ{úᐵᦪB^ᐭ89ᓽ
.ூ௃ô¡ç¸ᙢæÕÜÝ{Ḅçºᙳ/ö᳛x,᪷W⚪d9(17)2=1,ᦑ⌱B.15.(2ᑖ)H0WxW3Iü+ý஺Â)ᱥ+ý(x-1)2-3ᨵÃᑣaḄÿ()A.-3/W1B.-2WaWlC.-3

10ூᑖ᪆௃0Wx<3yḄ"#$%.ூ%&௃%'•••)*x-1+2-3,•••-ᱥ/01ᔣ3⚔5ᙶ᪗8*1,-3+,.•.9x=3;ᐭ)*x-1+2-3=y=4-3=l,-3WyWl,Ḅ"-34W1.ᦑ⌱'A.16.*2ᑖ+᝞C-ᱥ/D=E2+G+cḄIJK8x=2,LM5*4,0+,ᑣOᑡQGRSḄᨵ*+জac>0Wঝ44+6=0Wঞa+b+c>0WটI\]^_ᦪ஻z,cᨵd*am+b+W2a+b.ூᑖ᪆௃ᵫ-ᱥ/IJKf-ᱥ/gM*4,0+,h=-ᱥ/ixKḄjkl5ᙶ᪗,m$ᑨoজঝঞᵫx=2y"ᨬᜧhᑨoট.ூ%&௃%'•••-ᱥ/IJK8r/x=2,gM5*4,0+,s-ᱥ/gM*0,0+,.,.c=0,ac—0,জ┯ub--4a,4a+b—0,ঝRS.-ᱥ/ixKl5ᙶ᪗8*0,0+,*4,0+,-ᱥ/01ᔣO,x=ly—a+b+c>0,ঞRS.x=2+"ᨬᜧ4a+2b+c+airfi+bm+c,

11/.(am+b')W2a+b,টRS.ᦑ⌱'C.sஹwx⚪.*zᜧ⚪ᨵ3{ᜧ⚪ᐳ12ᑖ.1718}⚪ᔜ3ᑖW19}⚪ᨵ{xx2ᑖ+17.*3ᑖ+9-ᱥ/D=+2V+2ᐜᔣ2{ᓫᔣ33{ᓫ=ᑮḄ-ᱥ/Ḅ%᪆8y=-42Y+5ூᑖ᪆௃᪷sᦪC3OḄ#%&ᓽh.ூ%&௃%'9-ᱥ/D=*¡+2+2+2ᐜᔣ2{ᓫᔣ33{ᓫ=ᑮḄ-ᱥ/Ḅ%᪆8')-¢*x+2-2+2+2+3,ᓽ)-ᔺ5ᦑ&ᫀ8'y=-*^X2+5.18.*3ᑖ+ᵨª«G9sᦪy=N-8x-9ᓄ8y=a)x-h+Ḅ¯8'y=*x-4
2-25.ூᑖ᪆௃°ᵨª«GsᦪḄk±ᓄ8⚔5ᓽh.ூ%&௃%'y=/-8x-9=N-8x+16-9-16=*x-4+2-25,ᦑ&ᫀ'y=*x-4+2-25.19.*6ᑖ+²³kᦪy=or+6*abWO+·sᦪுs+¹-2,ᐸ»kᦪḄCgM¼kஹஹ½▲.*1+sᦪCᙠyKḄÀÁᑖ+ÂxḄÃᜧ$}W*2+sᦪCḄ⚔5ᡠᙠḄ▲¼½▲:*3+kᦪCisᦪCḄl5ᨵ2{.ூᑖ᪆௃*1+ᵫr/y="x+஻gM¼kஹஹ½▲h=">0,b<0,m$h=-ᱥ/01«ᔣfIJKÇ#$%.*2+ᵫ஺>0,6<0h=-ᱥ/ixKᵫÉ{l5m$h=⚔5Ç.*3+ὶËr/i-ᱥ/«Ì᪷ᑨÍḄÎÏᑨol5{ᦪ.ூ%&௃%'*1+•••r/y=ox+6gM¼kஹஹ½▲/.£2>0,b<0,,.-ᱥ/y=ax^+bx-201ᔣ3,

12x<0yÂxÃᜧ$}ᦑ&ᫀ8'}.(2)Vt?>0,b0,-ᱥ/ixKᨵÉ{l5ᓽ-ᱥ/⚔5ᙠxKO«-ᱥ/⚔5ᙠ¼½▲ᦑ&ᫀ8'½.(3)Óax2+bx-2=ax+b,᦮ᳮ=ax2+(b-a)x-2-b=0,A=(b-a)2+4«(2+6)—a2-2ab+b2+4ab+Sa—(a+b)2+8«>0.kᦪCisᦪCḄl5ᨵ2{ᦑ&ᫀ8'2.ஹ%&⚪.(zᜧ⚪ᐳ7{}⚪ᐳ66ᑖ.%&×ᑏᦻÚQÛஹÜÛMÌᡈÞßàá)20.(8ᑖ)ᵨ〉«G%Oᑡ«Ì(1)x2+6x-40-0W(2)(x-4)2=(5-2x)2.ூᑖ᪆௃(1)ᑭᵨᓝÚåæG9«ÌḄçèᑖ%é$=É{ᐵ\XḄkᐗk«Ì#kà%ᓽhW(2)Éçrì0«#kà%ᓽh.ூ%&௃%'(1)•.”2+6î-40=0,(jc+10)(%-4)=0,ñ(Ix+10=0ᡈx-4=0,%=xi=-10,f=4W(2),?(x-4)2=(5-2x)2,'.x-4=5-2%ᡈx-4=2x-5,%=XI=3,X2=l.21.(8ᑖ)᝞C²³-ᱥ/y=-/+᝞+5ixKl\A,8É5iyKl\5C,5BḄᙶ᪗8(5,0).

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15^2`3A,BK°ᢇK¡Ḅ¢ᡂ£Ḅ²ᨬ³8aA,8ᔜKµ³j¶ூᑖ᪆௃^1`ᑭᵨ¹ºªᦪ»ᓽAaz;bḄ<;^2`ᐜ᪷.^1`Ḅ¾¿zy"x¦§Ḅ©ᦪᐵªÀAzÁBK°ᢇK¡Ḅ¢ᡂ£Ḅ²}᪷.Z[©ᦪḄឋ1ᓽAzᫀ.100a+10b=400ூ௃^1`ᵫ⚪Ä:400a+20b=1000,a=l:b=30'.a=1.6=30(2)ᵫ(1)y=x2+30x,BA,BK°ᢇK¡Ḅ¢ᡂ£ÆᑣW=X2+30X+70(100-x)=N-40x+7000=(x-20)2+6600,ᵫZ[©ᦪḄឋ1AW3x=208wcᨬ;<ᨬ;<6600¤ᐗu8100-20=80.AK20jBK80j.24.^10ᑖ`᝞ᙠÈÉABC஺ËAB=6cm,BC=4cm,ÌÍÀAz{2CTM/SḄÑÒÓABᔣBÕÌt8஺ÀCz{lcm/sḄÑÒÓCQᔣ஺ÕÌ^ÍᑮÙBÚÛ8஺ÜݦÚÛÞÌ`BPÞÌ8§/ß.^1`àa3áâ<8ãäÉAP஺஺ÈÉ;^2`Pஹ஺z{µå8§æPQḄåÒ5c/n.ூᑖ᪆௃^1`᪷.ÈÉḄ+äsèᑮAP^PQ,ᵫ8§XÑÒ=éPaæAP,PQḄåÒᯠëè¥ᐵªAP=PQᑡzOPí;^2`îPïPEA.CD&E,ᑭᵨðñºᳮᑡzᐵ&/ḄOPóîOPaᫀ.ூ௃^1`•ãäÉAP஺஺ÈÉ,J.AP^PQ,

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