If the equation x ^ 2 / M + y ^ 2 / m-2 = 1 represents hyperbola, then the value range of M

If the equation x ^ 2 / M + y ^ 2 / m-2 = 1 represents hyperbola, then the value range of M

Hyperbola has two different denominators
So m (m-2)
Cosa equals minus five percent change sign five sin
Tana = negative root five
Is y = 3 / 2x a positive proportional function
Y = (3 / 2) x is a positive scale function. If y = 3 / (2x), it is an inverse scale function
It's not an inverse scale function
yes
In general, the relationship between two variables X and y can be expressed as a function of y = KX (k is a constant and K ≠ 0), then y is called the positive proportion function of X. A positive proportion function belongs to a linear function, but a linear function is not necessarily a positive proportion function. Positive proportion function is a special form of linear function, that is, in the linear function y = KX + B, if B = 0, that is, the so-called "intercept on Y axis" is zero, then it is a positive proportion function. When k > 0 (one or three quadrants), the larger K, the closer the distance between the image and Y axis. To begin with
In general, the relationship between two variables X and y can be expressed as a function of y = KX (k is a constant and K ≠ 0), then y is called the positive proportion function of X. A positive proportion function belongs to a linear function, but a linear function is not necessarily a positive proportion function. If the so-called proportional function is of the form of "Y + B = 0", that is to say, it is a positive function. When k > 0 (one or three quadrants), the larger K, the closer the distance between the image and Y axis. The value of function y increases with the increase of independent variable x
If ^ 2 + is a hyperbolic equation, then the value range of the hyperbolic equation is known
If the equation is hyperbolic, then 2 + λ and 1 + λ should have the same sign, and the value range of λ is λ > - 1 or λ
If the equation is hyperbolic, then 2 + λ and 1 + λ should have the same sign, and the value range of λ is λ > - 1 or λ
Given sin (π + a) = - 3 / 5, find the value of cosa and Tana
sin( π+a)
-sina=-3/5
sina=3/5
Because I don't know which quadrant A is in
∴cosa=±√(1-sin^2a)=±4/5
tana=sina/cosa=±3/4
Cosa can be positive or negative 4 / 5, Tana can be positive or negative 3 / 4
Cubic meter ^Draw the image of the following positive scale function (I only want the coordinates) y = 4x. Y = 2x out of 3. Y = 2x out of 3
It's separated with
It is known that the two focal points of the ellipse are a point on the ellipse, which satisfies the equation for finding the ellipse
It is known that the two focal points of the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) are F1 and F2. A point m (2 √ 6 / 3, √ 3 / 3) on the ellipse satisfies → MF1 ﹥ 8226; → MF2 = 0. (1) the equation for finding the ellipse: (2) if the line L: y = KX + √ 2 and the ellipse have different intersections A and B, and → OA ﹥ 8226; → ob > 1 (o is the origin of the coordinate), the range of K can be found
Let F1 (C, 0), F2 (- C, 0)
From → MF1 &; → MF2 = 0, C ^ 2 = 3 is obtained
That is, a ^ 2-B ^ 2 = 3
The point m (2 √ 6 ／ 3, √ 3 ／ 3) is on the ellipse, and it can be solved by substituting m into the elliptic equation
A = 2, B = 1
2. Substituting the line l into the elliptic equation, the coordinates of a and B (expressed by K) can be obtained. According to → OA &; → ob > 1 (o is the coordinate origin), the value range of K can be obtained
These are very general solutions, do not spend too much time to think, is a little troublesome calculation
If cosa = minus 4 / 5 and a is the angle of the third quadrant, then 1 + Tana / 2 divided by 1 minus Tana / 2 equals?
From Sina ^ 2 + cosa ^ 2 = 1. And because a is the third quadrant angle, Sina = negative 3 / 5, Tana = 3 / 4. From the tangent double angle formula tan2a = 2tana / (1-tana ^ 2), we can get Tana = 1 / 3 or - 3 because 180
In the following functions, y is the positive proportional function of X, and () a.y = 2x / 3 b.y = 2 / 3x c.y-x = 1 d.y-1 = 2x
The positive scaling function is y = KX, K is not equal to 0
That is, the degree of X is 1, and there is no constant term
And CD has a constant term
B then x is at the denominator, not once
So choose a, where k = 2 / 3
A
A coordinate translation problem
Who taught me
Given that the two focal points of an ellipse are f 1 (0, - 1), F 2 (0,3) and point a (2,1) is on the ellipse, the equation of the ellipse is obtained
Obviously the focus is on the y-axis, so a