泰安市重點中學2023-2024學年七年級數學第一學期期末教學質量檢測試題含解析

2023-2024

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18.(85?Mj￡<:(3a2-ab+T)-(-4a2+2ab+T),K^a=-?,b=2.

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20.(85?M,A>B,c=^i?-m±,

(1)AC=++;

(2)AB=AC-;

(3)DB+BC=-AD

(4)^AC=8cm,D?AC4>JS,B^gDC't’?,^gABaù-fe.

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13,150°

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2

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2

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VZBOC=ZAOB+ZCOD-ZAOD=150°-2/

ZCOF=75°-/

ZDOF=ZCOF-ZCOD=75°-Y-30°=45°-Y

ZBOE-ZDOF=(120°-/)-((45°-/)=75°

VZCOE=ZCOD-ZDOE=30°-Y

AZEOF=ZFOC-ZCOE=(75-/)-(30°-/)=45°

.Z.BOE-ADOF_75°_5

AEOF~45°~3

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222

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222

VZCOE=ZDOE+ZCOD=Y+P

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22

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2

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ZFOC=—ZBOC=180°-—a-y--p

222

VZCOE=ZDOE+ZCOD=Y+P

ZEOF=ZFOC+ZCOE

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=180°-—(?-/?).

2

ZAOC=ZAOD-ZCOD=2Y-P

?.?ZBOC=36(>°-ZAOB-ZAOC

=360°-a-(2/-/?)

=360°-a-2Y+P

ZFOC=—ZBOC=180°-—?-/+—/?

222

VZCOE=ZDOE-ZCOD=Y-3

ZEOF=ZFOC+ZCOE

=180°-—a-y+—p+y-p

22

=180°-—(?+/?).

2

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18,la2-3ab,MJ￡=13.

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=la2-3ab

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1M^=7X(-1)2-3X(-1)X2

=13.

19,(1)X=-;(2)x=l.

2

(1)SW,?JsiEX1BPS;

(2)W,X1BPS.

[W](1)2U-l)+l=0

W2x-2+l=0

W,W2x=2-1

W2x=l

^-?=7;

2

(2)^2x=6-3(x-3)

W2x=6-3x+9

W2x+3x=6+9

^5x=15

?4t^b*fx=3.

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20.(1)AD,DB,BC?(2)BC;(3)AC;(4)6cm.

(i)

(2)

(3)

(4)AD^CD^?#!^?ACéKj-￥,DBW-fe^CDiè?W-￥RP^AC-^?WE^Z-.ABf?-fc

S^ADin±DB,^MnT^tBABf?i￡￡.

[WMl(1)AC=AD+DB+BC

WW*?:AD,DB,BC;

(2)AB=AC-BC;

BC;

(3)DB+BC=DC=AC-AD

AC;

(4)'.'DlACf?+a,AC=8frf,AD=DC=4

B^DCaù^?.

.\DB=2

.*.AB=AD+DB

=4+2,

=6(cm).

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4

21.(1)---?(2)-72

5

r^ffi](1)WWS^Win^?s^ae^MBPW;

(2)

44

(W1(1)^=O-l--+l=--;

(2)-1x9+1-64=-8-64=-72.

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22,120°,30°

^ZBO?W?.$

WZBOC,ZAOC?.

[WJVOEWZAOB,ZAOB=90°

.*.ZBOE=ZAOB=45°

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