How to talk about quadratic equation of one variable from the point of view of function? I'm in urgent need of a courseware or manuscript for teaching quadratic equation of one variable from the point of view of function
I'll send it to you Summarize the relationship between the number of intersection points of quadratic function and x-axis and the number of roots of quadratic equation of one variable, and express when the equation has two unequal real roots, two equal real numbers and no real roots. 2
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- 1. What is the point of view of quadratic equation of one variable?
- 2. Using the image method to find the approximate root of the square 4x-3 = 0 of the quadratic equation of one variable, Using the image method to find the approximate root of the square 4x-3 = 0 of the quadratic equation of one variable, thank you Using the image method to find the approximate root of the square of the quadratic equation x + 4x-3 = 0, Thank you for correcting
- 3. Function y = - 2x & # 178; + 4x + 6 opening direction, symmetry axis, vertex coordinates, intersection coordinates with X axis, intersection coordinates with y axis
- 4. How many straight lines can you get by translating the image of a linear function y = 3x down 2 units?
- 5. Given that y = 3x + 5, if you translate his image 2 units up and 1 unit to the left, the linear function of his image is?
- 6. If the line is parallel to the image of the positive scale function y = - 3x and passes through the point (2, - 1), the functional expression of the line is?
- 7. If the positive proportional function y = 3x is parallel to the image of the linear function y = (K-3) x + √ 2, try to find the value of K and explain the reason
- 8. If G (x) satisfies g (1-x) + G (1 + x) = 1, then the coordinate of vector a is () A. (-1,-1)B. (2,32)C. (2,2)D. (-2,-32)
- 9. If G (x) satisfies g (1-x) + G (1 + x) = 1, then the coordinate of vector a is () A. (-1,-1)B. (2,32)C. (2,2)D. (-2,-32)
- 10. If the image of the function y = x ^ 2-3x + 1 is translated according to the vector a = (- 2,1), the analytic expression of the function image is Answer by eleven!
- 11. A problem of quadratic equation of one variable from the point of view of function The list lattice is the corresponding value of the independent variable X of the quadratic function y = ax ^ 2 + BX + C and the function value y, and the judgment equation AX ^ 2 + BX + C = 0 The range of a solution X of (a ≠ 0, a, B, C are constants) is_________ (the answer is 6.18 < x < 6.19) x 6.17 6.18 6.19 6.20 y -0.03 -0.01 0.02 0.04 Now that we have known the three points on the quadratic function, we have determined the function graph and the relationship with the x-axis - whether there is an intersection point. Then the solution X of the equation AX ^ 2 + BX + C = 0 determines the value ah, how is the value range
- 12. Quadratic equation of one variable from the point of view of function It is known that the image of quadratic function y = x ^ 2 - (M + 1) x + m intersects two points a (x1,0) and B (x2,0), the positive half axis of intersection Y axis is at point C, and X1 ^ 2 + x2 ^ 2 = 10; (1) Find the analytic expression of quadratic function; (2) Whether there is a straight line passing through point d (0,2.5) intersecting with parabola and points m, n intersecting with X axis at point E, so that points m, n are symmetrical with respect to point E. if there is, the analytical expression of straight line Mn is obtained. If not, the reason is explained
- 13. A problem of quadratic equation of one variable A volleyball invitational tournament should be organized in a certain place. Every two teams participating in the tournament should have a match. According to the venue and time conditions, the first round of the tournament is planned to be 4 days and 7 matches a day. How many teams should the organizer invite to participate in the tournament
- 14. Ask you math masters to help me solve a problem of solving quadratic equation of one variable The square of X - 16x - 9 = 0, how to solve it by factoring, teach me, the best process is detailed, so that I can understand, I can't just copy the answer
- 15. Exercises of quadratic equation of one variable
- 16. Exercises of quadratic equation of one variable
- 17. One problem of quadratic equation of one variable in mathematical function It is known that the value of algebraic formula x (x + 5) + 10 is opposite to that of algebraic formula 9x-25
- 18. When using the image method to solve a system of quadratic equations of two variables, the image of two corresponding functions of one order in the same rectangular coordinate system, the quadratic power of the solution When using image method to solve a system of quadratic equations of two variables, the corresponding images of two quadratic functions are made in the same rectangular coordinate system. The system of quadratic equations of two variables solved is a.x + Y-2 = 0; 3x-2y-1 = 0; b.x + Y-2 = 0; 2x-y-1 = 0 C.2x-y-1=0 ;3x+2y-5=0 D.2x-y-1=0 ; 3x-2y-1=0 Supplementary picture
- 19. Using function image method to solve binary linear equations {3x-2y=8 {y+4x=7 Key picture
- 20. How to draw the last x.y image? For example, x + y = 3 ① 3x – y = 5 ② From ① we can get y = – x + 3 and from ② we can get y = 3x – 5 Then I learned that x = 4, y = – 1 How to draw that line