monadic quadratic equation

Class name and seat number score

I. Multiple choice questions

1. If the equation AX2-3x+2 = 0 about x is a quadratic equation, then ().

A.a>0 B.a≠0 C. D.a≥0

2. Solve the following equation by matching method, in which () should be added to the left and right sides.

A.x2-2x=5 B. C.x2+4x=5 D.x2+2x=5

3. The root of the equation X (X- 1) = X is ().

A.x=2 B.x=-2 C.x 1=-2，x2=0 D.x 1=2，x2=0

4. The county chemical fertilizer plant produced a ton of chemical fertilizer in the first quarter, and then increased production by X% every quarter compared with the previous quarter, so the tonnage of chemical fertilizer increased in the third quarter was ().

a . a( 1+x)2 b . a( 1+x %)2 c .( 1+x %)2d . a+( 1+x %)2

5. The polygon has nine diagonals, so the number of sides of the polygon is ().

A.5 B. 6 C.7 D.8

6. The quadratic coefficient and linear coefficient of the unary quadratic equation 3x2 = 5x are respectively

Answer 3,5 B 3,5 C 3,0 D 5,0

7. A two-digit number is equal to the square of its one-digit number, and the one-digit number is 3 larger than the ten-digit number, then this two-digit number is ().

A.25b.36 C.25 or 36 D.-25 or -36

8. If the score is zero, the value of x is ().

A.3b.3 or -3c.0d.-3

9. The root of the unary quadratic equation X is ()

A. there are two equal real roots. B. there are two unequal real roots.

C. there is no real root d, so it cannot be determined.

10. The following proposition ① Equation KX2-X-2 = 0 is a quadratic equation with one variable.

② x = 1 is the root of x2 = 1,

③ Equation x2 = x and equation x = 1 are identical solution equations,

④ From (x+ 1) (x- 1) = 3, we can get x+ 1 = 3 or x- 1 = 3.

The correct proposition is ()

A.0 B. 1 C.2 D.3

Step 2 fill in the blanks

1 1. The general form of the unary quadratic equation (x+ 1) (x+3) = 9 is.

12. Please write a quadratic equation with one root as 1 and the other root as-1 < x < 1.

13. The root of equation (1+x) 2 = 3 is

14. If the square of the difference between two roots of x2-5x+k = 0 is 16, then k =

15. The equation 2x2+x+m = 0 has two unequal real roots, so the value range of m is

16. If both A and B are real numbers and satisfy +B2- 12b+36 = 0, then the value of ab is

17. When x =, the value of algebraic expression 3x2-6x is equal to 12.

18. If all three sides of a triangle satisfy the equation X2-6x+8 = 0, the perimeter of the triangle is

19. A ball starts to roll forward at a speed of 5m/s, and stops after rolling at a uniform speed of 5m. If the ball rolls to 3m, with xs, the unary quadratic equation is

20. After two price reductions, the price of a batch of VCD players dropped from the original 250 yuan to 160 yuan, with an average price reduction ratio of