In △ ABC, the vertical bisector of AB intersects BC at point D, and the vertical bisector of AC intersects BC at point EBC = 12cm

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• 1. 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
• 2. In △ ABC, ∠ C = 90 °, De is the vertical bisector of AB on the line side, and the degree ratio of ∠ DAE to ∠ DAC is 2:1, so the degree of ∠ B can be calculated
• 3. In the triangle ABC, ADA is perpendicular to D, angle bad = a, angle CAD = B= sina.sinb + cosa.sinb
• 4. In the triangle ABC, the angle c = 90 degrees, BC = AC = 2, D is the midpoint of the AC side, find sin angle, Tan angle DBA
• 5. In known acute triangle ABC, sin (a + b) = 3 / 5, sin (a-b) = 1 / 5 In known acute triangle ABC, sin (a + b) = 3 / 5, sin (a-b) = 1 / 5 (1) Verification: Tan a = 2tanb; (2) Let AB = 3, find the height on the edge of ab
• 6. As shown in the figure, in RT △ ABC, ∠ C = 90 °, am is the middle line on the side of BC, sin ∠ cam = 35, then the value of tanb is () A. 32B. 23C. 56D. 43
• 7. Known: as shown in the figure, in triangle ABC, angle ACB = 90, AC = BC, CD / / AB, and ab = ad
• 8. If △ ABC ∽ CAD, ∠ ACB = ∠ ADC = 90, BC = a, AC = B, ab = C, then CD is equal to Please use letters Thank you in advance
• 9. On the site of right triangle ABC, the angle bisector AE of ∠ B = 90 ° AB = AC intersects at point E Party A and Party B start from a at the same time and go along the AC and A-B-E lines at the same speed. Party A's destination is C and Party B's destination is e. please judge which of Party A and Party B arrive at their respective destinations first? And explain the reason
• 10. As shown in the figure, D is the midpoint of the waist AC of the isosceles right triangle ABC, connecting BD, making AE through a, vertical BD, side BC at e, try to explain, ∠ ADB = ∠ CDE
• 11. If s △ abd = 1 / 2S △ ACD, then AB: AC=
• 12. As shown in the figure, in △ ABC, we prove: (1) if ad is the bisector of ∠ BAC, then s △ abd: s △ ACD = AB: AC; (2) let d be a point on BC to connect ad, if s △ abd: s △ ACD = AB: AC, then ad is the bisector of ∠ BAC
• 13. In the triangle ABC, angle a = 96 degrees, extend BC to D, and the bisector of angle ABC and angle ACD intersects at point A1, The bisector of angle a1bc and angle a1cd intersects at point A2, and so on, the bisector of angle ANBC and angle ancd intersects at point an + 1 Problem 1, find angle A1, angle A2, angle A3 2. Conjecture the formula of degree of angle an (n is a positive integer) 3. Use your conjectured formula to find the degree of angle an
• 14. As shown in the figure, in the rectangular ABCD, AE ⊥ BD, e is the perpendicular foot, ∠ DAE: ∠ BAE = 1:2, then ∠ CAE=______ Degree
• 15. As shown in the figure, in the rectangular ABCD, AE ⊥ BD, the perpendicular foot is e, ∠ DAE = 2 ∠ BAE, the degree of ball ∠ BAE and ∠ BDC
• 16. As shown in the figure, in rectangular ABCD, AE is perpendicular to BD, and/_ DAE:/_ Bae = 3:1/_ BAE、/_ Degree of EAO
• 17. As shown in the figure, in the rectangular ABCD, AE ⊥ BD, the perpendicular foot is e, ∠ DAE = 3 ∠ BAE, can you find out the degree of ∠ DAE and ∠ BAE? Have proof!
• 18. As shown in Figure 7, in rectangular ABCD, AE is vertical BD, e is perpendicular foot, and DAE = 3-angle BAE 1. Find the degree of angle abo 2. Find the degree of EAC
• 19. As shown in the figure, BC is the diameter of circle O, a is a point on circle O, cross point C to make the tangent line of circle O, intersect the extension line of BA at point D, and take the midpoint e of CD, the extension line of AE and the tangent line of BC (1) prove that AP is the tangent of circle O. (2) if OC = CP, ab = 3 √ 3, find the length of CD
• 20. The point ABCDE is on the circle O, and the extension lines of the strings AE and BD are compared with the point C. AB is the diameter of the circle and D is the midpoint of BC Judge the size relationship between AB and AC What conditions should triangle ABC satisfy? Point e must be the midpoint of AC