As shown in the figure, in △ ABC, the vertical bisector of AB intersects at D, de = 6, BD = 62, AE ⊥ BC at e, and the length of EC is obtained
Connecting with AD, we know that DF is vertical and bisecting ab {BD = ad, ∠ B = 22.5 °, ∠ C = 60 ° {BAC = 97.5 ° according to the properties of the external angle and the external angle of the triangle, ∠ ade = {B +} DAB = 45 ° AE ⊥ BC, so ∠ DAE = 45 ° {△ AED is isosceles triangle, according to the properties of isosceles triangle, de = AE = 6, ∵
RELATED INFORMATIONS
- 1. In triangle ABC, angle a = 3, angle B, angle a-angle C = 30 degrees, then angle a =? Angle B =? Angle c =?
- 2. Trinomial inequality a + B + C ≥ how many a & # 178; + B & # 178; + C & # 178; greater than or equal to how many a ^ 3 + B ^ 3 + C ^ 3 ≥ how many
- 3. Given 1 > a > b > C > 0, we prove that (1-A) · (1-B) · (1-C) is greater than or equal to 8abc It is known that the three sides of a triangle with perimeter 1 are A.B., C
- 4. For any real numbers a (a ≠ 0) and B, the inequality | a + B | + | A-B | ≥ m · | a | holds. Note that the maximum value of real number m is m. (1) find the value of M; (2) solve the inequality | X-1 | + | X-2 | ≤ M
- 5. A problem of basic inequality in Senior High School If the positive numbers x and y satisfy 2x + 3Y = 11 / x + 1 / y, the minimum value is
- 6. A proof of inequality in Senior High School Let x, y, Z satisfy x + y + Z = 1 Verification: x ^ 2 / (y + 2Z) + y ^ 2 / (Z + 2x) + Z ^ 2 / (x + 2Y) > = 1 / 3
- 7. It is known that a > B > C, and verified that 1a − B + 1b − C ≥ 4A − C
- 8. Proving inequality The existing one component sequence is (1 / 10) ^ 2 + (1 / 11) ^ 2 + (1 / 12) ^ 2 + +(1/1000)^2 Try to prove that the sequence is greater than 0.099 and less than 0.111
- 9. a. B, C belong to R+ Verification: A ^ 2 / (B + C) + B ^ 2 / (a + C) + C ^ 2 / (a + b) > = (a + B + C) / 2
- 10. Let x ^ 2 + (Y-1) ^ 2 ≤ 4, find the maximum value of (x + Y-1) / (X-Y + 3)
- 11. In △ ABC, a = 45 °, C = 30 ° and C = 10cm, find a, B and B
- 12. It is known that, as shown in the figure, in △ ABC, ad and AE are the bisectors of height and angle of △ ABC respectively, if ∠ B = 30 ° and ∠ C = 50 ° (1) find the degree of ∠ DAE; (2) try to write out the relationship between ∠ DAE and ∠ C - ∠ B? (no proof required)
- 13. The product of a number multiplied by a true fraction must be less than this number______ (judge right or wrong)
- 14. The product of a number multiplied by a true fraction must be () the number A. is greater than B. is less than C. equals D Which one
- 15. A number multiplied by a true fraction, product () itself A. Greater than B. less than C. equal to D. less than or equal to
- 16. The product of a natural number not equal to 0 multiplied by a true fraction must be less than this number The product of two numbers is 1. These two numbers are reciprocal to each other The original price of a coat is 280 yuan, which is reduced by 1 / 5. Now the price is 4 / 5 of the original price A fish weighs four fifths of its weight plus four fifths of its kilogram. This fish weighs one and three fifths of its kilogram The ratio of a, B and C is 1:2:3:5, and B is equal to the average of the three numbers The diameter of a circle increases by 2 cm, and the circumference of a circle also increases by 2 cm A is 5 / 4 meters more than B, B is 5 / 4 meters less than a
- 17. When a natural number that is not "0" is multiplied by a pure decimal, the product ratio multiplicand (), when it is multiplied by a decimal, the product ratio multiplicand ()
- 18. A true fraction becomes another true fraction. The product (greater than. Less than. Less than or equal to. None of the above) is multiplied
- 19. If a natural number is multiplied by a true fraction, the product must be greater than the multiplicand
- 20. The product of a number not equal to 0 multiplied by a true fraction must be less than this number 1. The product of a number not equal to 0 multiplied by a true fraction must be less than this number 2. Two numbers with the result of 1 are reciprocal to each other 3. The weight of a bottle of liquid medicine is 3 kg / 10, which can be written as 30% kg 4. The weight of a fish is four fifths of its weight plus four fifths of its weight. This fish weighs one and three fifths of its weight 5. The ratio of a, B and C is 1:2:3. B is equal to the average of the three numbers 6. If 80% of two bags of rice are eaten, the remaining weight of two bags of rice is equal