一、基础性作业
1. 如图4-3-33,将两块相同的三角尺(含30°角)按图中所示位置摆放,若BE交CF于点D,AC交BE于点M,AB交CF于点N,则下列结论中错误的是(



A.∠EAC = ∠FAB
B.∠EAF = ∠EDF
C.△ACN ≌ △ABM
D.AM = AN
1. 如图4-3-33,将两块相同的三角尺(含30°角)按图中所示位置摆放,若BE交CF于点D,AC交BE于点M,AB交CF于点N,则下列结论中错误的是(
B
)。A.∠EAC = ∠FAB
B.∠EAF = ∠EDF
C.△ACN ≌ △ABM
D.AM = AN
答案
1.B
2. 如图4-3-34,在△ABC和△CDE中,点B,C,E在同一条直线上,∠B = ∠E = ∠ACD,AC = CD,若AB = 2,BE = 6,则DE的长为(
A.8
B.6
C.4
D.2
C
)。A.8
B.6
C.4
D.2
答案
2.C
3. 如图4-3-35,AD = DE,AB = BE,∠CED = 110°,则∠A =
70
°。答案
3.70
4. 如图4-3-36,∠A = ∠E,AC ⊥ BE,AB = EF,BE = 26,CF = 9,则AC =



17
。答案
4.17
5. 如图4-3-37,点A,C,B,D在同一条直线上,BE // DF,∠A = ∠F,AB = FD。若∠FCD = 30°,∠A = 80°,则∠DBE的度数为
110
°。答案
5.110
6. 如图4-3-38,在△ABC中,AD ⊥ BC,CE ⊥ AB,垂足分别是D,E,AD,CE交于点H,已知AE = CE = 10,BE = 6,则CH的长度为
4
。答案
6.4
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