The value range of real number m is the equation x ＾ + (m-1) x + 2m + 6 = 0 Find the range of the real number m so that the equation x ^ 2 + 2 (m-1) x + 2m + 6 = 0, (1) There are two real roots, one is greater than 2 and the other is less than 2; (2) Both solid roots are larger than 1; (3) Two real roots x1, X2 satisfy 0

You write x1 × X2, X1 + X2, and then look
First, two real roots, DET > = 0, M > = 5 or m2, are substituted into 1, and the equation is greater than zero
3. Similarly, substitute 0, 1, 4 and draw a picture

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1. Why? A. the real number - A ^ 2 is negative. B. the following sign (a ^ 2) = absolute value a The following statement is correct. Why? A. The real number - A ^ 2 is negative B. Follow sign (a ^ 2) = absolute value a C. The absolute value of - a must be positive D. The absolute value of real number - A is a
2. If a is known to be a real number, the absolute value of A. a B. - a C. A and the absolute value of D. negative a must be nonnegative
3. When the moving point a moves on the square of the circle x + the square of the circle y = 1, the trajectory equation of the midpoint of the line between the moving point a and the fixed point B (- 3,0) is
4. When the moving point a moves on the circle x2 + y2 = 1, the trajectory equation of the midpoint of its line with the fixed point B (3,0) is () A. （x+3）2+y2=4B. （x-3）2+y2=1C. （2x-3）2+4y2=1D. （x+3）2+y2=12
5. When the moving point a moves on the circle x2 + y2 = 1, the trajectory equation of the midpoint of its line with the fixed point B (3,0) is () A. （x+3）2+y2=4B. （x-3）2+y2=1C. （2x-3）2+4y2=1D. （x+3）2+y2=12
6. When a moving point P moves on the circle x 2 + y 2 = 1, the trajectory equation of the midpoint m connecting it with the fixed point a (3,0) is obtained
7. When the moving point a moves on the circle x2 + y2 = 1, the trajectory equation of the midpoint of its line with the fixed point B (3,0) is () A. （x+3）2+y2=4B. （x-3）2+y2=1C. （2x-3）2+4y2=1D. （x+3）2+y2=12
8. Application of circle and equation The chord length of line L: 2x-y-2 = 0 cut by circle C: (x-3) & sup2; + Y & sup2; = 9
9. The equation of line and circle in high school mathematics In a triangle, the opposite sides of angle a, angle B and angle c are known to be a, B and C respectively, and a > C > b is an arithmetic sequence, | ab | = 2. The trajectory equation of the vertex is obtained
10. High school mathematics problems - the equation of line and circle The linear equation passing through point P (- 1,2) and parallel to the tangent of curve y = 3x ^ 2-4x + 2 at point (1,1) is?
11. Find the range of the real number m so that the equation x & # 178; + 2 (m-1) x + 2m + 6 = 0 (1) There are two real roots, one larger than 2 and the other smaller than 2 (2) There are two real roots, and both are larger than 1 (3) There are two real roots α and β, and 0 ＜ α ＜ 1 ＜ β is less than 4 (4) At least one positive root
12. Given that x = 1 / 2 is the solution of the equation 2x-m / 4-1 / 2 = x-m / 3, find the value of 1 / 4 (- 4m & # 178; + 2m-8) - (1 / 2m-1)
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