Current location - Training Enrollment Network - Mathematics courses - The second volume of the first day of junior high school synchronized mathematics exercises on page 39 13.
The second volume of the first day of junior high school synchronized mathematics exercises on page 39 13.
Draw a picture first. My idea is: because angle C is greater than angle B and line AB is greater than line AC (big angle versus big side), line AE is on the left side of the triangle. Draw a picture and analyze it. I don't draw now. Let's put it this way: because the angle FED is the outer angle of the triangle ABE, the angle FED= the angle B+ the angle BAE, and because FD is perpendicular to BC and D, the angle FDE is a right angle. So EFD angle =90 degrees, that is, EFD angle =90 degrees, (angle B+ angle BAE). Because AE bisects angle BAC, angle BAC=2 angle BAE. Then, by using the theorem of triangle interior angle sum, it is obtained that angle B+ angle C+ angle BAC= 180 degrees. Substituting the previous conclusions: Angle B+ Angle C+2 Angle BAE= 180 degrees, Angle BAE=90 degrees-1/2 (Angle B+ Angle C), so Angle EFD=90 degrees-[Angle B+90 degrees-1/2 (Angle B+)