As shown in the figure, the quadrilateral ABCD is inscribed in ⊙ o, BC is the diameter of ⊙ o, e is a point on the side of DC, if AE ∥ BC, AE = EC = 7, ad = 6. (1) find the length of AB; (2) find the length of eg

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• 1. As shown in the figure, in the quadrilateral ABCD, points E and F are on BC and CD respectively, and ab = AE = AF = ad = BC = CD = EF, then the degree of ∠ C
• 2. In square ABCD, M is the middle point of AB side, take a point E on ad to make AE = 1 / 4AD (1) Please judge the position relationship between me and MC and explain the reason. (2) if the area of this square is 64, find the length of EC (to use Pythagorean theorem)
• 3. It is known that in the parallelogram ABCD, points E and F are on AB and BC respectively. If △ ade, △ bef and △ CDF are 5, 3 and 4 respectively, what is the area of △ def
• 4. In ▱ ABCD, the bisector BC of ∠ bad is at point E, and the bisector DC is at point F (1) Prove CE = CF in Figure 1; (2) if ∠ ABC = 90 ° and G is the midpoint of EF (as shown in Figure 2), write the degree of ∠ BDG directly; (3) if ∠ ABC = 120 ° and FG ‖ CE, FG = CE, connect dB and DG respectively (as shown in Figure 3), and calculate the degree of ∠ BDG
• 5. It is known that, as shown in the figure, e and F are two points on the diagonal AC of the parallelogram ABCD, AE = CF
• 6. It is known that ABCD and abef are two squares and not in the same plane, m and N are the points on the diagonal AC and FB respectively, and am = FN
• 7. As shown in the figure, ABCD and abef are two congruent squares that are not in the same plane. The points m and N are on the diagonal lines AC and BF respectively, and cm = BN. Prove: Mn / / plane BCE
• 8. Parallelogram ABCD parallelogram abef is on the same side AB, m, n are on the diagonal AC, BF respectively, and am: AC = FN: FB to prove Mn / / plane ADF Try to be clear
• 9. As shown in the figure, the quadrilateral ABCD is a rectangle, ∠ EDC = ∠ cab, ∠ Dec = 90 ° (1) prove: AC ‖ de; (2) make BF ⊥ AC at point F through point B, connect EF, try to distinguish the shape of quadrilateral BCEF, and explain the reason
• 10. Quadrilateral ABCD, ad vertical BD, EF diagonal to o, ab = 6, ad = 4 of = 1.5, calculate the circumference of BCEF ABCD is a parallelogram. EF passes through the intersection o of diagonal line and intersects with AB and CD at points E and f respectively
• 11. As shown in the figure, the area ratio of triangle ABC to triangle ade is 3:4, and the area of triangle ABF is 10 square centimeter larger than that of triangle FCE
• 12. It is known that in the quadrilateral ABCD as shown in the figure, AD / / BC, e is the midpoint of ab. it is proved that s quadrilateral ABCD = 2S triangle CDE
• 13. ▱ in ABCD, e is the midpoint of AB, f is on ad, AF: ad = 1:3, EF intersects AC with G. if AC = 20, then AG=______ ．
• 14. In the isosceles trapezoid ABCD, the upper sole ad = 2, the lower sole BC = 8, M is the midpoint of the waist AB, if MD is perpendicular to CD Don't copy other people's answers, Besides, it's troublesome: For example: DQ over D ⊥ BC over Q Make point n in CD, connect Mn, and cross DQ to s Mn is a trapezoidal ABCD median line ∴MN=5,MN‖BC The MS is a trapezoidal abqd median line Ms = 7 / 2? How did you jump to this step? Finding the area of trapezoid
• 15. In the quadrilateral ABCD, AD / / BC, M is the midpoint of AD, MB = MC? Figure: a -------- D / / M \ \ / / \ \ // \ \ B----------------C
• 16. As shown in the figure, in the isosceles trapezoid ABCD, ad ‖ BC, M is the midpoint of AD
• 17. Cut two small squares with side length of 2 into a large square. The side length x of the large orthomorphic is an irrational number. Can you estimate the approximate value of X with two decimal places How about three decimal places?
• 18. The irrational number a is the side length of a square with an area of 2. Draw the point of - A Main picture If it's OK, the reward will be increased to 80
• 19. What irrational numbers can you represent on the number axis by using the 4x4 grid as shown in Figure 4? Seventh grade math!
• 20. As shown in the figure, in trapezoidal ABCD, ad ‖ BC (BC > AD), ∠ d = 90 °, BC = CD = 12, ∠ Abe = 45 °, if AE = 10, the length of CE is______ ．