1. 已知$\triangle ABC\cong\triangle DEF$,下列结论不一定正确的是 (
A.$AB = DE$
B.$BE = CF$
C.$BC = EF$
D.$AC = DF$
B
)A.$AB = DE$
B.$BE = CF$
C.$BC = EF$
D.$AC = DF$
答案:
B
2. 如图,已知$AB = CD$,$BC = DA$.若$\angle B = 23°$,则$\angle D$的度数是 (

A.$67°$
B.$46°$
C.$23°$
D.无法确定
C
)A.$67°$
B.$46°$
C.$23°$
D.无法确定
答案:
C
3. 如图,若$MB = ND$,$\angle MBA = \angle NDC$,则下列条件不能判定$\triangle ABM\cong\triangle CDN$的是 (

A.$AB = CD$
B.$AM = CN$
C.$AM// CN$
D.$\angle M = \angle N$
B
)A.$AB = CD$
B.$AM = CN$
C.$AM// CN$
D.$\angle M = \angle N$
答案:
B
4. ◆2024·大连中山区期末◆ 下列关于尺规作图的语句正确的是 (
A.连接$BC$,使$BC\perp AB$
B.以点$C$为圆心,$AB$的长为半径作弧
C.作直线$AB = 3\ cm$
D.连接$AD$,并且平分$\angle BAC$
B
)A.连接$BC$,使$BC\perp AB$
B.以点$C$为圆心,$AB$的长为半径作弧
C.作直线$AB = 3\ cm$
D.连接$AD$,并且平分$\angle BAC$
答案:
B
5. 如图是用尺规作图法作一个角等于已知角,该方法的本质是全等三角形的对应角相等,则判断三角形全等的理论依据是 (

A.SSS
B.SAS
C.ASA
D.AAS
A
)A.SSS
B.SAS
C.ASA
D.AAS
答案:
A
6. 如图,$AC = BD$,$AO = BO$,$CO = DO$.若$\angle D = 30°$,$\angle A = 95°$,则$\angle AOB$的度数是 (

A.$120°$
B.$130°$
C.$135°$
D.$125°$
D
)A.$120°$
B.$130°$
C.$135°$
D.$125°$
答案:
D
7. 如图,已知$AB = AE$,$\angle B = \angle AED$,$\angle C = \angle D$.若$\angle 1 = 40°$,则$\angle BAE$的度数是 (

A.$60°$
B.$65°$
C.$70°$
D.$40°$
D
)A.$60°$
B.$65°$
C.$70°$
D.$40°$
答案:
D
8. 如图,在$\triangle ABC$中,$\angle C = 90°$,$AD$平分$\angle BAC$交$BC$于点$D$.若$AB = 10$,$CD = 3$,则$\triangle ABD$的面积是 (

A.12
B.10
C.15
D.30
C
)A.12
B.10
C.15
D.30
答案:
C
9. 如图,射线$OP$的端点$O$在直线$MN$上,$AB\perp OP$于点$E$,$BC\perp MN$于点$C$,$AD\perp MN$于点$D$,连接$OA$,$OB$.若$BC = BE$,$AD = AE$,则与$\angle CBO$互余的角的个数是 (

A.1个
B.2个
C.3个
D.4个
D
)A.1个
B.2个
C.3个
D.4个
答案:
D
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