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The equation of finding straight line by the slope and intersection distance of hyperbola and straight line Known hyperbola x ^ 2 / 3-y ^ 2 / 2 = 1 by the slope of 2 line L cut chord length is 5 / 6 times root 5, find the equation of this line!
Let the linear equation be y = 2x + B, and substitute it into hyperbolic equation: x ^ 2 / 3 - (2x + b) ^ 2 / 2 = 12x ^ 2-3 (4x ^ 2 + 4bx + B ^ 2) = 62x ^ 2-12x ^ 2-12bx-3b ^ 2 = 610x ^ 2 + 12bx + 3B ^ 2 + 6 = 0x1 + x2 = - 12b / 10 = - 6B / 5x1x2 = (3b ^ 2 + 6) / 10 (x1-x2) ^ 2 = (- 6B / 5) ^ 2-4 (3b ^ 2 + 6) / 10 = 36B ^ 2 / 25 - (6B ^ 2 + 12
1 1 3 4 5 6 7 8 what symbol can be added in the middle to be equal to 100
1+1-3-4+5*（6+7+8）
What is the value of the discriminant B ^ 2-4ac of the root of the quadratic equation x ^ 2-4x-3 = 0?
a=1 b=-4 c=-3
b²-4ac=（-4）²-4×1×（-3）
=28
Mixed operation of rational number addition and subtraction: | - 7 and 3 / 8 + 4 and 1 / 2 | + (- 18 and 1 / 4) + | - 3-2 / 1 |
|-7 and 8 / 3 + 4 and 2 / 1 | + (- 18 and 4 / 1) + | - 3-2 / 1|
=2 5 / 8-18 2 / 8 + 3 4 / 8
=6 and 1 / 8 -- 18 and 2 / 8
=-12 and 1 / 8
Given that TaNx and tany are the two roots of the equation x ^ 2 + 6x + 7 = 0, we prove sin (x + y) = cos (x + y)
tanx+tany=-6,tanx*tany=7
tan(x+y)=(tanx+tany)/(1-tanxtany)
=(-6)/(1-7)=1
tan(x+y)=sin(x+y)/cos(x+y)=1
sin(x+y)=cos(x+y).
What is a circle with a slash
The slash is from right to left
Usually denotes diameter
Read fai
What are the classification and definition of high school mathematical functions
Power function, exponential function, first-order function, quadratic function, logarithm
Power function: a function in the form of y = x ^ a (a is a constant), that is, a function with the base x as the independent variable and the power a as the dependent variable, in which a is a constant is called a power function. The image of power function shows different appearance with different values of a, which needs specific analysis of specific problems. The following are several common power function images
Exponential function: the general form is y = a ^ x (A & gt; 0 and ≠ 1) & nbsp; (x ∈ R). & nbsp; it is one of the elementary functions, where a is a constant and X is a variable
Linear function: it is also a linear function. It can be represented by a straight line in the X and Y coordinate axes. When the value of one variable in a linear function is determined, the value of another variable can be determined by the linear equation of one variable. For example, y = ax + B, where a and B are constants and X is variable
Quadratic function: it refers to the polynomial function with the highest degree of the unknown being quadratic. The quadratic function can be expressed as f (x) = ax ^ 2 + BX + C (a is not 0). Its image is a parabola whose principal axis is parallel to the Y axis
Logarithmic function: generally, the function y = log (a) x (where a is a constant, a & gt; 0 and a is not equal to 1) is called logarithmic function, which is actually the inverse function of exponential function. That is, exponential function and logarithmic function are symmetric with respect to the straight line y = X
There are four kinds of function images in the teaching materials, you can look them up, or you can search them on the Internet
In the fifth grade, 120 people went out for an autumn outing. They rented three buses. How many more minibuses do they need? Each minibus can seat five people, and each bus can seat 32 people
We have to use equations!
We need x cars
That is 32 * 3 + 5 * x = 120
96+5*X＝120
5*X＝120-96
We get 5x = 24
X＝4.8
The bus must be an integer
X = 5 is enough. Rent 5
P is the point on the ellipse x2 / 16 + Y2 / 9 = 1, F1 and F2 are the left and right focus of the ellipse. If | Pf1 · | PF2 | = 12, then the size of ∠ f1pf2 is (angle system)
C-_; = 7, according to the definition of "Pf1 + | PF2 \| PF2 | = 2A (Pf1 \124\124\\\124\124\\178; = 16, b-178; = 9 can get c-_; = 7, = 7 according to the definition of" Pf1 \\124\\\\\\124\\\\\124\\\\\\\\pf2 | & # 178; = 40cos ∠ f1pf2 = (| Pf1 | & # 178; + | PF2 | & # 178; - 4C & # 17
Solving equation problems (Grade 5)
It's simpler
Want answers
x-5=6
x+7=8
x+9=20
x+50=100
x+99=130
x+55=60
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