一道数学题.A math problem.
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一道数学题.A math problem.
如图所示,∠AOB的两边OA、OB均为平面反光镜,∠AOB=35°,在OB上有一点E,从E点射出一条光线经OA上的点D反射后,反射光线DC恰好与OB平行,则∠DEB是多少度?
(As shown, < AOB on both sides of OA, OB are plane mirrors, < AOB = 35 °, a little E on OB, from E some out a light through the points on the OA D after reflection, the reflected light DC parallel to OB, the < DEB is how many degrees?)
图片(picture)
绿色的图片是错误的,蓝色的是正确的(
Green picture is wrong, blue is correct
)
因为CD//BO,所以角ADC=角AOB=35度,又因为DE是入射光线,CD是反射光线,根据入射角=反射角,所以角ODE=角ADC=15度,所以角CDE=180-35-35=110度,角DEB和角CDE互为同旁内角.所以角DEB=70度.望采纳
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