If AB > 0 and a (a, 0), B (0, b) and C (- 2, - 2) are collinear, then the minimum value of AB is___ .

If AB > 0 and a (a, 0), B (0, b) and C (- 2, - 2) are collinear, then the minimum value of AB is___ .


According to the meaning of the title, a (a, 0), B (0, b), C (- 2, - 2) are collinear, and we can get KABC, that is, B − 00 − a = B + 20 + 2, and we can get 2A + 2B + AB = 0, that is, ab = - 2a-2b. If AB > 0, either a > 0 and b > 0, or a < 0 and B < 0, the straight line passes through C (- 2, - 2) of the third quadrant. According to the properties of the straight line, a < 0, B < 0, because a < 0, B < 0, so - 2a-2b > 0 and - 2a-2b ≥ 24ab = 4AB And because AB = - 2a-2b, ab ≥ 4AB, i.e. ab-4ab ≥ 0, let t = AB > 0, then t2-4t ≥ 0 can be obtained, the solution can be t ≥ 4 or t ≤ 0, and from t > 0, then t ≥ 4, i.e. ab ≥ 4, ab ≥ 16; then the minimum value of AB is 16; so the answer is 16



Because a = 2B / 3 (AB is not equal to 0), a divided by B = 2 / 3


AB is not equal to 0, which means that both a and B are not equal to 0, so B can be divided by a, and the result is correct



a. If the square difference of B + AB = 0, then a divided by B equals 0


a²+ab-b²=0
Think of a as an unknown
Formula for finding roots
a=[-b±√(b²+4b²)]/2=(-b±b√5)/2
So a / b = (- 1 + √ 5) / 2 or a / b = (- 1 - √ 5) / 2



Triangles can be divided into () triangles, () triangles, () triangles


Acute angle, obtuse angle, right angle



What kinds of triangles can be classified according to angles?
What kinds of triangles can be classified according to their sides?
There are two questions. Please answer them one by one. Otherwise, I don't know which one to say
And besides right angles, acute angles, obtuse angles, circumference angles and even angles,


Triangles classified by angle can be divided into acute triangle, right triangle and obtuse triangle
Triangles can be divided into general triangles, isosceles triangles (including equilateral triangles)



The following statements are correct: 1. The corresponding sides of congruent triangles are equal; 2. Three angles correspond to two equal triangles; 3. Three sides correspond to two equal triangles
The following statement is true
1. The corresponding sides of congruent triangles are equal
2. Three angles correspond to the congruence of two equal triangles
3. Three sides correspond to the congruence of two equal triangles
4. Two equal triangles corresponding to both sides are congruent
A. 4 C.1 D
Why? Which two are right. Why are the others wrong


The following statements are correct: 1. The corresponding sides of congruent triangles are equal; 2. The corresponding sides of congruent triangles are equal; 3. The corresponding sides of congruent triangles are equal; 4. The corresponding sides of congruent triangles are equal; 4. The corresponding sides of congruent triangles are equal; 3. The corresponding sides of congruent triangles are equal



In the following propositions: (1) two triangles with the same shape are congruent; (2) in two congruent triangles, the equal angle is the corresponding angle, and the equal side is the corresponding side; (3) the height, middle line and bisector of the corresponding angle on the corresponding side of the congruent triangle are equal, respectively. The number of true propositions is () A.3, B.2, C.1 and d.0!


In the following proposition:
(1) Two triangles of the same shape are congruent; wrong
(2) In two congruent triangles, the equal angle is the corresponding angle and the equal side is the corresponding side
(3) The height, middle line and bisector of corresponding angle of congruent triangle are equal respectively
The number of true propositions is (c)



The following propositions are false
A. The bisector of two angles and one of the angles corresponds to the equality of two triangles. The bisector of two sides and the middle line of one side corresponds to the equality of two triangles. The bisector of two sides and the middle line of one side corresponds to the equality of two triangles. The bisector of two sides and the height of one side corresponds to the equality of two triangles


A. This option is correct because the median line, height and angle bisectors on the corresponding sides of congruent triangles are equal; B. the angular bisectors of two corners and one of the corners are equal, and two triangles can be congruent by AAS or ASA, so this option is correct; C. when the median line on the third side is equal, no corresponding angle is equal



There are two congruent triangles whose angles opposite each other are equal
In the following statements, the wrong one is ()
A. The areas of congruent triangles are equal
B. There are two congruent triangles whose angles opposite each other are equal
C. Two equilateral triangles with equal sides are congruent
D. Congruence of two right triangles with one side and one acute angle equal to each other


B. There are two congruent triangles whose angles opposite each other are equal



As shown in the figure, ab = AC, ad = AE, ∠ BAC = ∠ DAE


It is proved that in △ abd and △ ace, ab = AC, bad = eacae = ad, and △ abd ≌ △ ace