福建省龍巖市北城中學(xué)2023-2024學(xué)年七年級數(shù)學(xué)第一學(xué)期期末統(tǒng)考試題含解析

2023-2024

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44

D.?-,2x+y,-a26,^-,^-,04b^<4>b

C.￡?2x2+Ay2+3M-ftH<￡

x37t4x

2.?W^W.'èW??M(

3.T?üA^Y,^x=2Mê(

A.3x+3=xB.—x+3=0C.2x=6D.5x-2=8

4.+S^O?985&SS>^ffl7afê^>^/>WR7f-±>?T12O?>hf0^W,

A.1.2xl09^B.12xl09>bc.1.2xlOIOybD.1.2x10"^

5.M^'ù'èifeW^167000YA*.()

A.16.7xl04B.1.67xlO5C.0.167xl06D.167xl03

6.MnM?,M6n()

A.B.C.?6ê|￡>2D.^6^^3

7.YBèüK±tfeffiM^zK?^^9970000W?9970000()

A.997xlO4B.99.7xlO5C.9.97xlO6D.0.997xlO7

8.&.“A”sM(1),(2)MOS(3)

MAWW,“■”()

(I)(2)(3)

A.2^B.3^bC.44"D.54"

9.AM-2^,M5WaN,JRIJaN&T?()

A.3B.5C.—7D.37

10.Sx=-lfctftJ&??2ax2+3bx+8^{ê>12,>J6b-4a+2=()

A.-12B.10C.-6D.-22

->?<h?3#,#18#)

11.ax=2W,ax3+bx+16,m^x=-20t,ax3+bx+l.

12.B?jU2yWW,2x+4y-7

13.A./bTOêff^ABiOilAife,

K'fSAm^hf27fM.￡iwtB￡3/j<;fêia,wj^a_________./bwreAffl?36^x.

14.Btox=2&jfè\0-2x=axtofa,WJ?=.

15.“MMTO,.

16.M,ABCD^-m^BE.BF??&,&V1AB>CBi^^BD±.,mWtfeBE.BF,

WJZABE+ACBF=

H,|?T^&?C￡A?#8/Js?,#72#)

1■>6

17.(8#)B&?>hS.^^,X,y￡>g?,Z?èü^?2,j$:~{a+h\-----+ni

3xy

18.(8#)#M?|10+/n|+|/7-5|=0.

(1);

(2)^^p^Ata^,

eW??C?ffiS.

(3)?(2)^PisWiàsaJéfê^?tRPj&lHl,?e^&Mit^fàiszs!],

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19.(8#)ZDOE=90°,OFWZBOD.

(1)%ZAOE=2W,$AABOF=

(2)%ABOF%iAAOEfà5f?,*AAOEfè$L.

20.(8#)MS&a,b,cOWgfiaAi^m^A,B,C,ba?t^K^

S&?tt1'bM&iéfi,BC=2AB.

(1)±M$:a=___,b=____,c=____

(2)?DOAM?E^?BJHé,tiF&tiCftltè,

aFia±An^ik^j,T^l'qj:

tWBt(

(g)F?ia±EaW,^i??,iW^tHk^ià

^{è;W&Mè.

21.(8#)M,?AABD^DAFEC43>aB,C,D,E?|S)—M±,KAB=FE,BC=DE,ZB=ZE,iaWJJ;

ACDM

22.(10^-)W,OAa^fà>4Wl8$15°,OB50°,ODOBè?&fàJ?iè^.

(1)%ZAOC=ZA()B,^.OCtfri?fà.

(2)&(1)ZAODOE,^ZCO￡K?.

23.(10^)fiSS&±±t$,YiW'bltfbtMi+?7êT25^,

fèSttWWi/bBtiOià,

24.(12#)-H-W:

(1)-12-(-8)+(-6)X(-2)2

zxz12X

(2)-94-3+(-+-)+1.

23

1,D

L#tfflB,C,OWOT

￡1??D,MPT?.

_2

A,?<3,

44

B,

C,^?2x2+Ay2+3^=?^=^,

D,^-,2x+y,-a2b,^,^,0^,&￡&2x+y,-a2b,^,0,^4^,

X3?4x571

D.

[?]

2>B

[WJf?iS￡?aù?j￡:BPWHj^tè.

[WJM:WWW:

?B.

uni

3>D

[##T]M-jStüra^?,BPWfim^.

[Wlt?h3x+3=x,

.-?2x=-3,

3

:.x-—,

2

i&AWa-iOC?

.?—x+3=0,

:.x=3,

-,2x=6,

:.x=3,

MCW-?-SB;

5x-2=8,

.-.5x=10,

:.x=2,

W&D.

4>C

[^]^?a^W<^^67xlO''W^,l<|a|<10,n^?.a^nm

na<j^a^/b^??WMffi|s).^WWa>10Bt,n>O[;

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ttiac.

5>B

[j^Wl^lfl^?èW?^M^axlOnW^,￡4>l<|a|<10,n^?.Wffi^MaSt,

n>O[;W,

n<?.

(W??l167000=1.67X105,

?B.

[￡m

?4^ie?^^^axion?ùm,M*l<|a|<10,n^w,

?M^am^nKfi.

6.A

rwin>^,6n-mm?éiê?,sp^nmfê,mM?.

[^]nm,m6n^t^6^M,

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7>C

[^i^-w?^?xi?a<jm>M+I<H<IO,

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[WM]&99700009.97xl06.

C.

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8,D

[#tff]^“?”“■”“A”#W*Jx,y,z,èSJlJHl^MM^BPWM^l'?l?.

[WM1￡“?”“■”“A”#W?x>y>z,èfflO.

2x=y+z

*’>MW*=2y,z=3y,

z=x+y

miUx+z=2y+3y=5y,BP?■”5,

iftf?:D.

ra?]

9>A

[Mtffl?^ioW^üT+?BPTOM.

[WMlM:èMM#±^-2??^(^MOttlRl?Yf5WSaN^J:-2+5=3,

i&fàA.

[?]

io>c

[Mtlf]x=-1f?A2ax2+3bx+8=l2#Slj2a-3b=4,gfrftA6b-4a+2=-2(2a-3b)+2WMW.

[WM]M:Wx=-lftA2ax2+3bx+8=12,2a-3b=4,

WJ6b-4a+2=-2(2a-3b)+2

=-2x4+2

=-8+2

=-6.

C.

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??(AA?<6/J^,#18#)

11,-4

?x=2ftà^+/zx-+l^!±J8a+2b=5,Wx=-28a+2b=5ftABP

(WM1ax=20it,or3+/?x+l=8a+2Z?+l=6

.'.8a+2b=5

ax=—20^,ax34-Zzx4-1=-8a-2b4-1--(Sa+2b)+1=—4

12,-1

Vx4-2y=-3,

.*.2x+4y—7=2(x+2y)—7

=2x3-7

=6-7

=-l.

-1.

13,2^1

[##T]^i?x/bWMAffl??36^A,

^üx/b^Affl￡§36^X,

viWtB￡3WM,

108

AnmWAWM?:-—=365^/W,

?MAMimW36?,

36x+36=108

X=2;

36x-36=108

X=4;

^±,gS2/j<^l/J<RAffl?36n,

2^1.

14,1

=M^SBP^^.

[WM]M:ffix=2Rà3ff?lO-2x=ax,f?:10—4=2a,MW:a=l.

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15,A?mswe

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16,45°

LWJOWABCDMf?^,WWZABC=90°,èOf?MW￡HZABE=—ZABI),ZCBF=-ZDBC,S

22

<gJgZABE+ZCBF=-ZABC,

2

[WM]VfflWABCD^^,

:.ZABC=90°.

?Jg?rèWZABE=ZEBD=-ZABD,ZDBF=ZFBC=-ZDBC,

22

:.ZABE+ZCBF=|(ZABD+ZDBC)=yZABC=45°,

45°.

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SWi+M,

=,MT^^(??8/hg,^72#)

17,2^-24

[^l^?g?,A-,ys^t?m,WTOO2,a+b,xy^mMl.

WA^R^^i+^BP?r.

[WMlM:Va,

?’.a+b=2.

Vx,y33r?m,

?*.xy=2.

'.'mWfif2,

in=±2.

am=2Bj,

M^=-x22--+22=2.

31

am=—2frf,

)&$,=-x22-—+(-2)3=-24.

3I

126

-(a+/’)‘------+m3?<JO2§g-24.

3xy

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?,a+b,xy

m?fJ?It^gW^g.

18,(1)-10,5:(2)t=3,-1;(3)6#^414#

(1)nmBPW?;

(2)aP,Q^R-^MBPnT;

(3)^?±M^I's]é<J￡§M?BP??r.

(i).-|io+m|+|H-5|=o

:.10+m=0,n—5=0

.’.m=—10,y?=5

-10;5;

(2)^P^6<JM:-10+3r,5-2r,

-10+3r=5-2?

3/+2r=5+10

M#r=3

.-.5-2x3=-l,

JHSWC^^M-I?

(3)<2KMCa4,?pSiWazm,P,effiggio,

aP?MiiW,(2?+10)-3/=4

3/-(2r+10)=4

=14

^r=6°Ez=140t,P>

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mwa.^-TG-^S^^JTR,??,

19.(1)55°;(2)10°

[##f](1)?^tBZAOD,ZBOD,

(2)i￡ZAOE=x,WJZBOF=5x,<^?±lZBOF=45o+-x,BIOê-

2

[WJmif:

(1)ZAOE=20°,ZEOD=90°

:.ZAOD=70°,ZBOD=110°

OF^ftZBOD,

:.ZBOF=55°

(2)^ZAOE=x,WJZBOF=5x,

ZAOE=x,ZEOD=90°

:.ZAOD=90°-x

ZBOD=180°-(90°-x)-90°+x

OF^ZBOD,

:.ZBOF=|(90°+x)=45°+1x

45°+-x=5x

2

9

-x=45°

2

.?.x=45°x-=10°,

9

:.ZAOE=}0°.

D

[?1

20>(1)-2,1,7;(2)(?)t=l^t=-;?k=-l

2

[#tfrJ(1)?WMA,B'C=￡f?g,

(2)WE>DFW+?WF;tDE?^?ffi^Witfè;

(D^ffl-ê-tDF+k-EF,DF+k?EF=9+6k-(3+3k)t,*3+3k=0tükM^BPnJ^W

LW]M:(1)?frhWjl.S^aù^W^b-1,

A?A?^f?lU^-l-l=-2,aB^^b^jl,

.*.AB=1-(-2)=3

VBC=2AB=2x3=6,

c=l+6=7,

-2,1,7;

(2)(Df?M,?Ff?iê^OS^4t,aD'Ei?^f?O^t,

.-.￡D'E'F^iJ^W^-2-t,1-t,7-4t,

S?Fiê±?Ditf,

J5ü.,BPDE=EF$nDF=EF,

M,aDE=EF,BPE^DF

2(l-r)=-2-Z+7-4/,

t=l,

AB

D-2￡1F1

?lffl,SEF=DF,BPF^DE'b^W,

2(7-4?)=-2-r+l-?,

f?'?t=j,

2

AB

DF-2E17

^Lt0r$,at=l￡Wt=-Bt,

2

?#?,Sè:

aD,E,F#?J^tfj$tfj-2-t,1-t,7-4t,

M,Fftia±E^>,￡>F=7-4/-(-2-r)=9-3r,EF=7-4/-(1-/)=6-3A

DF+kEF=9-3t+k(6-'5t)>=9+f>k-(3+3>k)t,

^DF+k-EF^t^ü,O?3+3k=0,

gpk=-m,

AB

D-2￡1Fl

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21,Mtlr

[^WMJg±^H?^è9>0?SASffi^AABD^AFEC(SAS),BPnim^^H?^a<Jf4^^WZADB=ZFCE,

BPRi.

(OH?■.VBC=DE,

.‘.BC+CD=DE+CD,BPBD=CE,

?AABD-^AFEC4b

AB=EF

<ZB=ZE,

BD=EC

/.AABD^