2021-2022学年浙江省宁波市奉化区等三县七年级（下）期末数学试卷（附答案详解）

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2021-2022
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ḄHAWM"XᔜU⌱⚗Z[ᑖ᪆ᓽ]^9ᫀ.C⚪ὃ=>BAᑖḄJK_`aBAᑖḄJKḄᑁc"⚪Ḅᐵd'efUQ⚗AᓄᡂhU᦮AḄḄHAiBAᑖ.7.ூᫀ௃Aூ᪆௃ex=4jᐭ2x—y=10l8y=—2,•••m=2x+y=8—2=6,ᑣmnUᦪᑖ5o6p-2,

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8᝞°HḄnG±ᑖ5aஹb(▢³´ᑖḄ±ᑖ5oµxஹy(ᑣa+x=b+y,ᓽa—b=y—x,=x2+y2,S=2xy2—S=x2+y2-2xy=(x—y)2=(a—b)2=(a+b)2—4ab(2,••°HḄ☢ab,°HḄᕜ±2(a+b)(ᦑ4ஹBḄ(¼BoজḄ☢(b—x)(a—y)ঝḄ☢(a—%)(/?—y)((£>—x)(a—y)—(a—x)(6—y)=(a—b)(t—x)=(a—6)2(ᦑঞ’ᦑ⌱D.ᵨÉÊ⊤̱ÍᑡjᦪAᵨ᦮AḄZ[ÏÐ.C⚪᦮AḄÑᔠḄᵨ`aᑣ⚪Ḅᐵ11.ூᫀ௃m^2ூ᪆௃•••771-240,■■m2.ᦑᫀom^2.᪷MᑖAḄᑖÊ%EÕ0ᓽ]89ᫀ.C⚪ὃ=>ᑖAᨵ'KḄᩩØᑖAḄᑖÊ%EÕ0⚪Ḅᐵ.12.ூᫀ௃2xy2ூ᪆௃A=2xy2,ᦑᫀo2xy2.᪷M᦮AḄ◀Z[Ùᓽ].C⚪ὃ=>᦮AḄ◀ᓫ⚗A◀1ᓫ⚗AeÚᦪᦪÛᑖ5◀ÜÝoᖪḄBA(XÕßᙠá◀AâãᨵḄÉÊᑣäåḄᢣᦪfçÝoᖪḄfUBA.

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10Nm=5,TᦪV/+4/+5%+2,WḼFYZᑡ\]^⚗◀aḄᐸc<᝞dᡠeᑣ<ᑖ:X3+4X2+5X+2=(X+2)(X2+2X+1)W+2X+1I/+4/+5X+2X+2.+KJ-2^+5x+22X:+4XX+2X+20=<ᑖ:/+4x2+mx+2=(x+2)(/+2x+1),ᦑ0ᫀ&(%+2)(/+2X+1).jk⚪lᡠmḄen:0ᓽ.⚪ὃᑭᵨ<ᑖ:ᑖ:<Ḅᱯra:⚪ḄᐵtL&᪷uᩞᧇx].17.ூ0ᫀ௃:&(1)T=1+8—1=8((2)T=m2+4m+4-m2+1-4m-8=-3.ூ:᪆௃(1)᪷uᨵᳮᦪḄ}~᦮ᦪᢣᦪOᢣᦪᓽ((2)᪷uᐰᓫ⚗}^⚗ᔠj⚗ᓽN0ᫀ.⚪ὃᦪḄᢣᦪ~᦮ᦪᢣᦪᐰ(a+b)(a—b)=a2-b2,(a+b)2=a2±2ab+/L:⚪Ḅᐵt.18.ூ0ᫀ௃:&(1)T=B9)=mn(m+3)(m—3)((2)T=(x2+y2)2—(2xy)2=(x2+y2+2xy)(x2+y2-2xy)=(x+y)2(x—y)2.ூ:᪆௃(1)ᐜ<᪷uᑖ:<ᓽ((2)ᐜ᪷uᑖ:<᪷uᐰᑖ:<ᓽ.⚪ὃ<aaḄᔠᵨa2-b2=(a+b)(a-b),a2+2ab+᮱=(ab)2L:⚪Ḅᐵt.

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2ëOBᜩᨵm¾ÿᝄᜩᨵnᝄ,m+2n—X8᪷⚪83m2n=-xl0+(m=100[y=150'ᜩᨵ100ᝄᜩᨵ150ᝄ.ூ᪆௃1ᓫᓟ!%ᐗ᪷$%ᜩ&ᚪᡠ)*Ḅ✏Ⅵ./10ᓟ!,ᑡᑖ2345ᓽ78
2ᜩᨵmᝄᜩᨵ9ᝄ᪷⚪ᑡᐗ:34;5ᓽ7.<⚪ὃ>?ᑖ234Ḅ@ᵨᐗ:34;Ḅ@ᵨᳮ⚪C᪷⚪DEFGᐵIJ⚪ḄᐵK.24.ூᫀ௃-2-3ூ᪆௃(1O+=-57ᓄR+0*2=(—2)+(-3),:.T=—2,%=-3.2(2)ᵫWXnm=-5,m4-n=-2,14⚓ᐳ15⚓

14mn_m2+n2mn_(m+n)2-2mnmn_4+10_-5__14(3)]34^x-2-bF=-fc-3,...x-2+”(f3)=—(_21_3)xஹ-2=k,x—2=-2k—3,2j=kᡭ+1-2k__1—2,(1)m.⚪no“ᓝr34”Ḅ⚪3sᓽ75.(2)tᔠvᵨ“ᓝr34”Cwᦪvyᓽ75(3)ᗐ{|}Cᑖ᪆34wᐭvyᓽ75.<⚪ὃ>᪷TIᦪḄᐵIᑖ2348ᳮ“ᓝr34”Ḅ⚪noḄ⚪3s,ᡠ5ᑖ234ᓄᐗ:34;5J⚪ḄᐵK.