As shown in the figure, in RT △ ABC, ∠ B = 90 °, a = 30 ° and AC = 3, bend BC toward Ba, so that point C falls on point C 'on Ba, and the crease is be, then the length of C' e is___ ．

In RT △ ABC, ABC = 90 °, a = 30 °, C = 60 °, ∵ AC = 3, ∵ BC = 32, ab = 332 ∵ c'eb has ∵ CBE folding, ∵ BC = CB ', ∵ bc'e = ∠ C = 60 °, ∵ bc'e = ∠ a + ∠ AEC', ∵ 60 ° = 30 ° + ∠ AEC ', ∵ AEC' = 30 ° AC '= c'e ∵ c'e = AC' = ab-bc '= 332-32 = 3 (3-1) 2. So the answer is: 3 (3-1) 2

RELATED INFORMATIONS

1. It is known that, as shown in the figure, ad is the angular bisector of △ ABC, and EF bisectors ad vertically, intersecting AB and AC at e and f respectively
2. It is known that ad is the angular bisector of △ ABC, de ∥ AC intersects AB at point E, DF ∥ AB intersects AC at point F
3. It is known that ad is the angular bisector of △ ABC, de ∥ AC intersects AB at point E, DF ∥ AB intersects AC at point F
4. As shown in the figure, in △ ABC, ad is the height of BC, AE is divided equally into ∠ BAC, ∠ B = 75, ∠ C = 45, and ∠ Daewoo and ∠ AEC are calculated
5. In △ ABC, a-c = 90 ° AE is the bisector of BAC, and the degree of AEC is calculated
6. In △ ABC, ∠ BAC = 90 °, BD bisection ∠ ABC, AE ⊥ BC in E. verification: AF = ad
7. In △ ABC, ∠ BAC = 90 °, BD bisection ∠ ABC, AE ⊥ BC in E. verification: AF = ad
8. In triangle ABC, ad is high, be is middle line, angle CBE = 30 degrees, prove: ad = be
9. It is known that be is the middle line ad ⊥ BC in △ ABC, and it is shown that ad = be
10. In △ ABC, be is the middle line, ad ⊥ BC is in D, ∠ CBE = 30 °, please prove: ad = be The figure can be drawn according to the title. There are three sides of the triangle, one middle line and one high line. There are five sides in total
11. As shown in the figure, in △ ABC, point P moves from point B along the Ba edge to point a at a speed of 1cm / s, and point Q also moves from point B along the BC edge to point C at a speed of 2cm / s. After a few seconds, the area of △ PBQ is 36cm2?
12. As shown in the figure, in the RT triangle ABC, ∠ C = 90, AC = 6cm, BC = 8cm, points E and f start from two points a and B at the same time and move to points c and B along the direction of AC and Ba respectively The velocity of point E is 2cm / s, and that of point F is 1cm / s. if one of the points reaches the position, both points stop moving (1) Q. after a few seconds, the area of the triangle AEF is 16 / 5 (2) After a few seconds, EF bisects the perimeter of the RT triangle (3) Is there a line EF that bisects the perimeter and area of rtabc at the same time? If so, calculate the length of AE. If not, explain the reason
13. As shown in the figure, in the RT triangle ABC & nbsp;, the angle c = 90 °, AC = 3, BC = 4, a straight line & nbsp; l intersects with the edge BC and Ba and points & nbsp; E and f respectively, and the area of the divided triangle ABC & nbsp; is two equal parts, then the minimum length of the segment EF & nbsp; is______ ．
14. As shown in the figure, in RT △ ABC, ∠ ABC is a right angle, ab = 3, BC = 4, P is the moving point on the edge of BC, let BP = x, if we can find a point Q on the edge of AC, so that ∠ BQP = 90 °, then the value range of X is______ ．
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17. It is known as follows: as shown in the figure, in △ ABC, ad is the height on the edge of BC, AE is the bisector of ∠ BAC, ∠ B = 50 °, DAE = 10 °, (1) find the degree of ∠ BAE; (2) find the degree of ∠ C
18. In △ ABC, be bisects ∠ ABC, ad is the height on BC, and ∠ ABC = 60 ° and ∠ BEC = 75 ° to calculate the degree of ∠ DAC
19. As shown in the figure, in △ ABC, ∠ C = 90 °, the vertical bisector of AB intersects at point D, AB intersects at point E, the degree ratio of ∠ DAE and ∠ DAC is 2:1, and the degree of ∠ B is calculated
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