1 As shown in the figure, in △ABC, ∠ B = 70, ∠ BAC: ∠ BCA = 3: 2, CD ∠ AD = D, and ∠ ACD = 35, find the degree of ∠BAE.

2? There are four line segments, namely x-3, x, x+ 1 and X+2 (X > 3). Can you form a triangle with three sides?

3. In △ABC, ∠C is an acute angle, and the distance from point C to point A and point B is equal.

Is the distance AD from A to BC equal to the distance from B to AC? Why?

4. As shown in the figure, △BOD and △AOC are congruent. Draw a straight line MN that passes through AC and BD at the same time when crossing point O, and the intersection points are m and n respectively. Question: Is the line segment OM = hung? If yes, please reason; If not, please explain why.

5. As shown in the figure, in Rt△ABC and Rt△ABD, ∠ ABC = ∠ Bad = 90, AD=BC, AC and BD intersect at point G, point A is the extension line from point E AE‖DB to CB, and point B is the extension line from point F, AE and BD BF‖CA to DA.

6. As shown in the figure, it is known that △ABC is an equilateral triangle, and D, E and F are in BC, CA, and F respectively. AB, and △DEF is also an equilateral triangle.

(1) Besides the known equilateral, please guess which equilateral line segments are there to prove your guess is correct;

(2) You have proved that how can equal line segments get each other? Write the process of change.

7. It is known that in △ABC, D is the midpoint of BC, BE⊥AD is in E, CF⊥AD is in F. Try to explain that be = cf

8. As shown in the figure, in Rt△ABC, AB=AC, ∠A is a right angle, the bisector of ∠B intersects with AC at D, and the perpendicular line intersecting BD and C intersects with the extension line of BD at E. Verification: BD=2CE.