The equation Ax+B=0(A≠0) on the number axis represents a point, the equation Ax+By+C=0(A2+B2≠0) represents a straight line in the plane rectangular coordinate system, and the equation in the space rectangular coordinate system represents a plane. ...
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Equation Ax+B=0(A≠0) on the number axis represents a point, equation Ax+By+C=0(A2+B2≠0) in the plane rectangular coordinate system represents a straight line, and equation ax+by+cz+d = 0 (a2+B2+C2 ≠) in the space rectangular coordinate system.
Answer: Solution: According to the trend of axis points and the equation of straight line in plane rectangular coordinate system, I guess the equation of plane in space rectangular coordinate system is: Ax+By+Cz+D=0(A2+B2+C2≠0). For the equation Ax+By+Cz+D=0, because A2+B2+C2≠0, A, C, C, C, C, C, d (2), when one of A, B and C is zero, let A=0, and the equation indicates that N(0,-D Similarly, when B=0 or C=0, the plane is parallel to the y axis or z axis, respectively; ③ When two of A, B and C are zero, let A=B=0, and the equation represents a plane parallel to the xoy plane. Similarly, when A=C=0 or B=C=0, they represent planes parallel to the xoz or yoz plane, respectively. To sum up, in rectangular coordinate system, the equation AX+BY.
Analysis: First, according to the situation in the number axis and the coordinate plane, it is guessed that the equation of the plane in the spatial rectangular coordinate system is: Ax+By+Cz+D=0(A2+B2+C2≠0). Then after classified discussion, we can get the equation AX+BY+CZ+D = 0 (A2+B2+C2 ≠ 0).
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What does A B C stand for in the general equation Ax+By+C=0? Is it a coordinate point? Or what? ...
1 Answer: 2065438+February 6, 2009
Best answer: These three are constants, not coordinates. The coordinate point in the equation is (x, y), but (-C/A, 0) and (0, -B/A) represent the intersection points of this straight line with the X and Y axes respectively.
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In the general formula Ax+By+C=0, what does A B C stand for? Is it a coordinate point? still ...
2016 65438+February 3, 2006 These three are constants, not coordinates. The coordinate points are (x, y) in the equation, but (-C/A, 0) and (0, -B/A) represent the intersections of this straight line with the X axis and the Y axis respectively. Comment 0 15 Load more ...
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1 Answer: 20 10 March 16.
The best answer: both of them are equations representing straight lines in two-dimensional rectangular coordinate system, but their expressions are different. Ax+by+c=0 is a general formula, and y=kx+b is a point oblique formula. Transform ax+by+c=0 to get y. ...
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Equation Ax+B=0(A≠0) represents a point, and equation Ax+By+C=0(A ...
The equation Ax+B=0(A≠0) on the number axis represents a point, and the equation Ax+By+C=0(A2+B2≠0) in the plane rectangular coordinate system represents a straight line and sits at right angles in space. ...
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If the equation Ax+By+C=0 represents a straight line, then A.AB is not equal to 0 B.A2+B2 is not equal to 0. I want to ask what's the difference between A and B, and why B?
Answer: that is, A and B cannot be zero at the same time (if both are equal to 0, it becomes C = 0；; If c is equal to 0, then 0 =0 represents a point, and c is not equal to 0. If A2+B2 is not equal to 0, it is guaranteed that at least 1 non-zero Abs of A and B can be equal to 0, for example, A =0 and B =
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What does A B C stand for in the general equation Ax+By+C=0? Is it a coordinate point? Or what number?
Answer: These three are constants, not coordinates. The coordinate point in the equation is (x, y), but (-C/A, 0) and (0, -B/A) represent the intersection points of this straight line with the X and Y axes respectively.
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Generally speaking, the binary linear equation ax+by+c=0 can be regarded as a linear function y= binary. ...
Generally speaking, the binary linear equation ax+by+c=0 can be regarded as a linear function y= any solution of the binary linear equation ax+by+c=0 satisfies a linear function, so it corresponds to the point of this solution. ...
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ax+bx+c=0
Representation of normal vector Ax+By+C=0. Why can a vector be expressed as (a, b)? Can it be a vector? Isn't this the coordinates of a point?
Answer: This represents a vector pointing from the origin to this point, and the vector can be translated.
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Derivation of the distance formula from any point A in space to straight line ax+by+c=0-Zhihu
June 1 day Derive the distance formula from point A to straight line ax+by+c=0. 20 19 Premise: vector, vector point multiplication, trigonometric function and straight line are needed. ...
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Mathematical basis 1: linear equation Ax+By+C = 0- Zhou Gu Guo Blog -CSDN Blog -ax+ ...
202 1 April 1 So that we can use Formula 2 to represent all straight lines. Second, from y=kx+m to ax+by+c=0. Note that k, m, a, b, c here are just assumptions, indicating a form. First of all, ...
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If the equation AX+BY+C = 0 represents a straight line passing through the origin, the condition satisfied by the coefficient A B C is ... If the equation AX+BY+C = 0 represents a straight line passing through the origin, the condition satisfied by the coefficient A B C is to write down the reason.
7 answers: 2065438+200765438+1October 24th.
Answer: The straight line is the origin, that is, the origin (0,0) is the point on the straight line. Substitute (0,0) into AX+BY+C=0 to get 0 * X+0 * Y+C=0, that is, C = 0. Because AX+BY+C = 0 is a linear equation, AB≠0 (Note: A and B are not both 0.
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Generally speaking, the binary linear inequality AX+BY+C > 0 represents a plane region composed of all points on one side of a straight line Ax+By+C=0 in a plane rectangular coordinate system. We draw a straight line to indicate that this area does not include the boundary line. When we draw a plane area represented by the inequality Ax+By+C≥0 in the coordinate system, the area should contain the boundary line, and then draw the boundary line as.
Answer: solution: according to the concept, we draw a straight line as a dotted line to indicate that the area does not include a boundary straight line; If the area contains boundary lines, draw the boundary lines as solid lines? So, the answer is: dotted line; Solid line.
Analysis: The topic gives a binary linear inequality, and the concepts of solid line and dotted line should be paid attention to when drawing plane area. If you can get a point on a straight line, draw a solid line; if you can't get a point on a straight line, draw a dotted line. This topic examines the knowledge points in inequality, which involves drawing solid lines and dotted lines according to the boundaries in a plane area. This is a basic conceptual problem, and students should lay a good foundation.
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In the plane rectangular coordinate system, any binary linear equation Ax+By+C=0 represents a straight line. Then, in the rectangular coordinate system, what figure does the arbitrary ternary linear equation Ax+By+Cz=D represent? (1) Set points A( 1, 2,3) and B(2,-1, 4), find the equation satisfied by point P with equal distance between two points, and point out what figure the equation represents; (2) What figure does the arbitrary ternary linear equation Ax+By+Cz=D(A, B and C are not zero at the same time) represent in the spatial rectangular coordinate system?
Answer: Inquiry ① According to the meaning of the question, let M(x, y, z) be the point where A and B are equidistant. Since |AM|=|BM|, the square of both sides of the equation is simplified to 2x-6y-2z-7=0, which is a plane equation to be solved and represents the perpendicular bisector of the line segment AB. ② It can be proved that in the space rectangular coordinate system, any equation on the other hand, any plane is a ternary linear equation. Law summary For a special ternary linear equation, x=a represents a plane parallel to the xOz plane, and its distance from the yOz plane is | a |Y=b, representing a plane parallel to the xOz plane, and its distance from the yOz plane is | b |Z=c, representing a plane parallel to the xOz plane, and its distance from the yOz plane is | c |X = 0, y = 0 and z =
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What is the geometric meaning of Ax+By+C=0? Mathematics bar-Baidu Post Bar
Number of replies: 38 posted on: 2065438+August 30, 2002
Architecture 17: Say that both A and B are not 0, and arbitrarily take the difference satisfying the equation Ax+By+C=0. ...
Floor 18: explanation. How did y=kx+b become the general formula ax+by+c=0? ...
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Source: What does ax+by+c=0 mean?
20 19 12 1 Japan National People's Congress High School 2020 Senior Three Mathematics Unified Training One Attached Answer Two Attached Answer Three Detailed Analysis Senior Three Mathematics Unified Training 2020 Senior Three High School Attached Middle School Four Details ...
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What do A, B and C in ax+by+c=0 mean respectively? -Zhihu
Answer time: August 2002108.
The best answer: the coefficient of a binary linear equation, that is, the conditions under which X and Y are variables.
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Answer time: 165438+2007125 October.
Best answer: the answer of the senior upstairs is wrong (1). A is not equal to 0, and b is not equal to 0. Description: C=0 intersects with X axis and Y axis at O point (2) B = 0, and ...
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I like the form of linear equation: general formula, Ax+By+C=0, how to understand it! What does ABC stand for? ...
2020 165438+ 10/7, the form of linear equation: general formula, Ax+By+C=0, how to understand! What does ABC stand for? Xy is the coordinate value.
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What do A, B and C in the straight line AX+BY+C=0 stand for respectively? A, B and C in the straight line AX+BY+C=0 represent respectively. ...
At present 1 answer,131* *138 answer: constant, where -A/B is the slope of this straight line.
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If the binary linear equation ax+by+c=0 is used to represent the straight line in the plane rectangular coordinate system, what do A, B and C stand for respectively?
A: This is just a general representation of a straight line. A b c stands for coefficient (generally known). If -a/b means the slope of this straight line and this straight line passes through (0, -c/b) (-c/a, 0).
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June 24th, 2020 (2) How to find the symmetry point of point (a, b) about straight line Ax+By+C=0 (3) What are the symmetric linear equations of straight line Ax+By+C=0 about X axis, Y axis, origin and y=x?
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How to determine the expression ax+by+c = 0- better Bo from the coordinates of two points? ...
2065438+June 7, 2009 for the expression ax+by+c = 0; a=？ ，b=？ ，c=？ ; y=kx+m，y 1=kx 1+m y2=kx2+m，k =(y2-y 1)/(x2-x 1)m = y 1-(y2-y 1)x 1/(x2-x 1 ...
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Save the children. How did the general formula Ax+By+C=0 of a straight line come out? Why can it represent all? ...
Number of replies: 6 1 posting time: 2021February 0 1.
Sixth floor: ... B is also regarded as a whole. Essentially y=kx+b
Architecture 18: Equation is algebra. If you put an unknown aside, it will be ...
26th floor: ... b/d Obviously, if one of C and D is 0, it is meaningless = ...
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The straight line ax+by+c=0 Can C in the general equation be a fraction? -Zhihu
Answer time: 20 165438+20081October 28th.
The best answer: not only C can be a fraction, but A and B can also be fractions. But fractions are always not as convenient to calculate as integers, so it is better to turn fractions into integers.
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Find how many integral points (x, y) on the straight line ax+by+c=0 satisfy x∈[- 100, 100], y∈. ...
2065438+ August 25th, 2007 0 comments 27 Like 2065438+June 24th, 2006 65438+Number of solutions (points are in a straight line) (number theory-extended Euclidean algorithm) 326 Read 0 comments 0 Like 2065438+July 24th, 2008165448. ...
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The point (x0, y0) in the upper left corner of the straight line Ax+By+C=0 satisfies AX0+BY 0+C >; 0 the point (x0, y0) in the upper left corner of the straight line Ax+By+C=0 satisfies ax0+by0+c >; 0, then the symbols of a and b are (a) a >; 0，B& gt； 0(B)A & gt； 0，B
1 answer: 20161211day.
Answer: Let Ax+By+C=0 have a point (x0, y 1).