Let the equation of line l be (m2-2m-3) x + (2M2 + m-1) y-2m + 6 = 0 It is required that l does not pass through the third quadrant, and the intercept on the coordinate axis is not zero, so the value or range of M can be obtained

(- 1,1) substituting m2-2m-3) x + (2M2 + m-1) y-2m + 6 = 0, m ^ 2 + m + 8 = 0, M has no real solution

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1. If the equation m2x2 - (2m + 1) x + 1 = 0 has real roots, find the minimum integer root of M
2. It is known that the equation (m-2) ^ 2x ^ 2 + (2m + 1) x + 1 = 0 about X has two real roots, so we can find the value range of M
3. If the equation m2x2 + (2m + 1) x + 1 = 0 of X has real roots, then the value range of M is () A. M ≥ − 14b. M ≥ − 14 and m ≠ 0C. M ≥ − 12D. M ≥ − 12 and m ≠ 0
4. If there are two real roots of the X equation M & sup2; X & sup2; + (2m + 1) x + 1 = 0, the value range of M is obtained?
5. If the equation x / x-3-2m + 1 = m / x-3 has only one real solution, then the value range of M
6. If the equation (M2 + 1) x-2m + 1 = 0 about X has a positive real solution, then the value range of M is
7. If the equation (x-3) &# 178; = - 2m + 1 has a real solution, then the value range of M is_________ (the respondent gave a favorable comment.)
8. It is proved that the equation x ^ 5-3x-1 = 0 has at least one root
9. It is proved that the equation "e ^ x-x ^ 2-3x-1 = 0" has and has only three roots
10. It is proved that the equation x ^ 5-3x = 1 has at least one root between 1 and 2 The answer should be detailed
11. The equation of straight line passing through point m (3,4) with equal intercept on the coordinate axis is______ ．
12. A straight line passes through the point m (2,1), and the sum of intercept on two coordinate axes is 6. The equation of the straight line is obtained
13. A straight line passes through the point m (- 3,4), and the sum of intercepts on the two coordinate axes is 12?
14. The equation of a line passing through point m (3, - 4) with equal intercept on two coordinate axes
15. If a straight line passes through point a (- 3,4), and the sum of intercept on two axes is 12, then the linear equation is______ ．
16. It is known that the equation of line L is x + my + 2m-1 = 0 (M is a parameter) (1) Verification: no matter what the value of M is, the straight line L passes through the fixed point; (2) If the intercept of the line L on the y-axis is - 5, find the analytic expression of L and the area of the figure enclosed by L and two coordinate axes
17. Let the linear l equation be x + my-2m + 6 = 0, and determine the value of m according to the following conditions (1) The intercept of L on the X axis is - 3; (2) The slope is 1
18. Given the line L: (m ^ 2-2m-3) x + (2m ^ 2 + m-1) y = 2m-1, the intercept on X axis and Y axis is equal, find the value of M
19. When m is the value, the intercept of the line (2M2 + M-3) x + (m2-m) y = 4m-1 on the X axis is 1
20. We know the equation x & # 178; - 2mx-2m-4 = 0 about X. when we prove the value of M, the sum of squares of the two equations is equal to 7