As shown in the figure: in △ ABC, ab = AC, take a little E on AC, extend Ba to F, make AF = AE, and connect Fe. At this time, there is a special position relationship between Fe and BC. Can you find out and explain it?

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• 1. In triangular pyramid p-abc, PA ⊥ plane ABC, AC ⊥ BC, through a as AE ⊥ PC, then PC to e, verification: AE ⊥ plane PBC
• 2. A mathematical problem: PA is known to be perpendicular to the plane where the circle O lies, AB is the diameter of the circle O, C is any point on the circle O, make AE through a, and make PC perpendicular to E A mathematical problem: we know the plane where PA is perpendicular to circle O, AB is the diameter of circle O, C is any point on circle O, make AE perpendicular to PC through a, and prove that AE is perpendicular to plane PBC
• 3. It is known that PA is perpendicular to the plane of circle O, AB is the diameter of circle O, C is any point on circle O, and AE is perpendicular to PC through a Results: AE was perpendicular to the plane of PBC
• 4. AB is the diameter of circle O, C is the point on circle O, PA is perpendicular to the plane of circle O, AE is perpendicular to Pb is perpendicular to e, AF is perpendicular to PC is perpendicular to F Let PA = root 3 and AC = 1 to find the distance between point a and PCB
• 5. In the regular triangular pyramid p-abc, e f is the midpoint of the side edges Pb and BC respectively, and AE ⊥ EF, PA = root 2 to calculate the volume
• 6. As shown in the figure, BD is the bisector of ∠ ABC, de ⊥ AB is at point E, ab = 36cm, BC = 24cm, s △ ABC = 144cm, then the length of De is______ ．
• 7. BD is the bisector of angle ABC, De is perpendicular to e, ab = 46, BC = 24, s △ ABC = 144
• 8. As shown in the figure, BD is the bisector of ∠ ABC, de ⊥ AB is at point E, ab = 36cm, BC = 24cm, s △ ABC = 144cm, then the length of De is______ ．
• 9. In the triangle ABC, ∠ BCA = 90 ° and CD ⊥ AB is at point D. given AC = 3cm, BC = 4cm and ab = 5cm, what is the distance between point C and ab? RT The first answer is the best
• 10. If AC = 3cm, BC = 4cm, ab = 5cm, the distance from point d to the three sides is A.2.5cm B.2cm C.1.5cm D.1cm
• 11. If the length of two right sides of a right triangle is 3 and 4, and the distance from a point in the triangle to each side is equal, then the distance is______ ．
• 12. If the length of two right sides of a right triangle is 3 and 4, and the distance from a point in the triangle to each side is equal, then the distance is______ ．
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• 14. If it is known that the cross sections of three points a, B and C on the sphere and the distance between the center of the sphere are equal to half of the radius of the sphere, and ab = BC = CA = 2, then the area of the sphere is?
• 15. It is known that the distance between the cross sections of three points a, B, C and the center O of the sphere is equal to half of the radius of the sphere, and ab = BC = CA = 3
• 16. It is known that the distance from the cross section of three points a, B and C on the sphere to the center of the sphere is equal to half of the radius of the sphere, and AC = BC = 6, ab = 4. The surface area and volume of the sphere are calculated
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• 19. In the plane of the triangle ABC, how many points are equidistant from the three sides of the triangle ABC?
• 20. Track: the number of points on the plane of triangle ABC, which is equal to the distance between the three sides of the straight line, is____ One