初1幾何 唔識><” sos/.\

2008-05-27 7:01 am
已知:角B=25度,角BCD=45度,角CDE=30度 角E=10度
求證AB//EF

圖如下:
http://webo.com.hk/download.php?real_fn=SOS.bmp&md5_time=79765ce3085376f09b263b9de4890f22654f01981031497924&file_ext=bmp

急 help me plz ''十萬火急T^T
更新1:

要詳細作答 (包括過程) 最好用T型證法^^

回答 (1)

2008-05-27 7:42 am
✔ 最佳答案
Construct two parallel lines, HCK and MDN, which are parallel to AB.
Angle ABC = 25 (given)
Angle BCK = angle ABC = 25 (alt. angles, AB // HK)
Angle BCD = 45 (given)
Angle KCD = angle BCD - angle BCK = 45 - 25 = 20
Angle CDM = angle KCD = 20 (alt. angles, HK // MN)
Angle CDE = 30 (given)
Angle MDE = angle CDE - angle CDM = 30 - 20 = 10
Angle DEF = 10 (given)
that is, Angle MDE = angle DEF = 10
Therefore, MN // EF (alt. angles eq.)
As AB // HK // MN (by construction)
and MN // EF,
AB // HK // MN // EF
AB // EF


收錄日期: 2021-04-25 00:17:18
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