As shown in the figure, in △ ABC, ab = AC, point E is on high ad, find out all congruent triangles in the figure, and explain why they are congruent?

As shown in the figure, in △ ABC, ab = AC, point E is on high ad, find out all congruent triangles in the figure, and explain why they are congruent?


The congruent triangles in the graph are: △ abd ≌ △ ACD, △ BAE ≌ △ CAE, △ BDE ≌ △ CDE. The reasons are as follows: ∵ AB = AC, ad is high. In RT △ BD and RT △ ACD, ab = Acad = ad, ≌ RT ≌ abd ≌ RT △ ACD (HL); ≌ bad = CAD, in △ BAE and △ CAE, ab = AC ≌ BAE = ca



How many tons of diesel oil is one cubic meter, how many liters of diesel oil is one cubic meter


One cubic meter of diesel oil is equal to 0.82 ~ 0.87 tons, because different types of diesel oil have different proportion, one cubic meter of "standard diesel oil" is about 0.86 tons
One cubic meter of diesel equals 1000 liters of diesel



How do polynomials divide by monomials


A: that is to divide them separately, for example
(a²+b²+c²)÷a
=a²÷a+b²÷a+c²÷a
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Use Green's formula to calculate the curvilinear integral of the following pairs of coordinates
∮ (x ^ 2 + y ^ 2) DX + (y ^ 2-x ^ 2) dy, where l is the positive boundary of the region bounded by y = 0, x = 1, y = X,


As shown in the figure below, s is the area surrounded by three straight lines



Why is the rate of advance between two adjacent volume units 1000?


Because the unit of volume is the multiplication of three length units, the rate of length unit is 10, and the multiplication of three 10 is 1000



How to calculate (a-b + 2C) (a + b-2c) with the complete square formula


(a-b+2c)(a+b-2c)
=a²-(2c-b)²
=a²-4c²-b²+4bc



It is known that one vertex of an equilateral triangle is located at the focus of the parabola y2 = 2px (P > 0), and the other two vertices are on the parabola
Band diagram


One vertex of equilateral triangle is located in the focus f (P / 2,0) of parabola y2 = 2px (P > 0), and two vertices are on the parabola. If a (2pt ^ 2, PT), then | Pt / (2pt ^ 2-P / 2) | = | T / (2t ^ 2-1 / 2) | = 1 / √ 3, | 2T ^ 2-1 / 2 = soil √ 3T, the result is 2T ^ 2 dry √ 3t-1 / 2 = 0, t = (soil √ 3 soil √ 7) / 4, | AF | = 2pt ^ 2 +



At present, there are 1500 grams of 90% alcohol solution. How many grams of distilled water should be added to make 75% alcohol solution


Alcohol = 1500 × 90% = 1350 G
Add water = 1350 △ 75% - 1500 = 300g



A factor of 70 is prime


2,5,7



Finding the primitive function of indefinite integral = ∫ √ (1 + 1 / X & # 178;) DX


Let 1 / x = stand, then x = Cott √ (1 + 1 / X & # 178;) DX = ∫ √ (1 + Tan & # 178; t) dcott = ∫ sectdcott = sectcott - ∫ cottdsect = CSCT - ∫ Cott * tant * sectdt = CSCT Cott - ∫ sectdt = CSCT LN | sect + tant | = √ ((1 / tant) ^ 2 + 1) - ln | √ ((tant) ^ 2 + 1) + tant | =