1. The nonnegative integer (x, y) satisfying the root number x+ root number y= root number 20 12 has ().

A.0 group B. 1 group C.2 group D3.

2. The root number 3x-2y+z+ root number 2x-y+3z= root number x+y-36- root number 36-x-y is established in the real number range, and the values of x, y, z, y and z are found.

3. It is known that the three sides of a triangle are A, B and C, and a > c, then |c-a|-? (a+c-b)2=()

A.2a-b？ B.2c-b？ C.b-2a？ D.b-2c？

4. As shown in the figure, the areas of two adjacent squares in the rectangle are 2 and 6 respectively, so what is the area of the shaded part in the rectangle?

. (Results Retain the root number)

5. If y= radical sign ((x? -2)/(5x-3)？ )-the root sign ((x? -2)/(3-5 times)? ) +2, then x? +y？ =

6. What are the lengths of three sides of a triangle?

16m2+n2，？

4m2+9n2，2？

m2+n2，(？

nm？

> 0), what is the area of this triangle?

7.

Let a-b=2+?

3，b-c=2-？

3, then a2+b2+c2-ab-ac-bc=?

8?

What is the value of1998×1999× 2000× 2001+14?

9.

. Known x=?

15-2, then x3- 17x+2006=?

10. Non-zero real numbers x and y satisfy (?

x2+2009-x)(？

Y2+2009-y)=2009, then?

x+2008y2008x+y=？

The second unit-a quadratic equation with one variable

1. Solve equation x? + 1/x？ +x+ 1/x=0

2. The positive integer m is not greater than 50. What is the equation about x (x-2)? +(x-m)？ =x？ The two roots of are positive integers, so find the value of m that meets the conditions.

3. if b? -4ac is an unary quadratic equation ax? +bx+c = a root of 0, and find the maximum value of ab.

4. If a is a non-negative integer, the equation 2x-a about x has at least one integer root with the number 1-x=a-4, and find the value of a..

5. One root of the quadratic equation of x (a-1) x2+x+| a |-1= 0 is 0, so the value of real number A is ().

A.- 1b.0c. 1d。 -1 or 16. At a party, every two people shake hands, and everyone shakes hands 10 times. If X people attend the party, the correct equation is () A.

x(x- 1)2 = 10c . x(x+ 1)= 10D。 ?

X(x+ 1)2= 107。 Hammer the nail into the board with even force. With the deepening of nails, the resistance of nails will be greater and greater, so that the length of each nail into the board is k times that of the previous one (0 < k < 1). As we all know, a nail strikes three times.

47. Let the length of the nail be 1, then the equation that conforms to this fact is () a?

47+?

47k+？

47k2= 1B。 ?

47+?

47k= 1C。 ?

47k+？

47k2= 1D。 ?

47+?

87k= 18。

Suppose that m and n are two roots of the equation 2x2-5x-3=0, then?

1m+？

1n=？

9. Information: According to the financial forecast, the investment of the Three Gorges Project is 203.9 billion yuan, of which the static investment is 9 1 billion yuan, the loan interest expense is1billion yuan, and the price difference is (a+36) billion yuan. But in fact, due to the national interest rate adjustment, the loan interest has decreased by 15.4%. Because the price increase was lower than forecast, the price difference decreased by 18.7%.

In 2004, the power generation of Three Gorges Power Station was 39.2 billion kWh, and it is estimated that the power generation in 2006 will be 57.3 billion kWh. The average annual growth rate of power generation in these two years is the same. If the power generation increases at this rate, by 2008, when all units are put into power generation, the power generation in that year will just reach the highest annual power generation designed by the Three Gorges Power Station. From 2009, it is planned to return the investment cost of the Three Gorges Project with all the power generation proceeds from the Three Gorges Power Station and Gezhouba Power Station. The annual output of Gezhouba Power Station is

(1) The total investment of the Three Gorges Project decreased due to interest adjustment and price increase?

One hundred million yuan. (The result is accurate to 1 100 million yuan)

(2) soon?

The investment cost of the Three Gorges Project can be recovered in 2000.

10. Look at the solution process of the following problem (1) first, and then solve the problem (2).

(1) Given that real numbers A and B satisfy a2=2-2a, b2=2-2b, a≠b, then?

ab+？

ba=？

? .

Solution: It is known that a2+2a-2=0, b2+2b-2=0, a≠b, so A and B are two unequal real roots of the equation x2+2x-2=0, which are obtained from the relationship between roots and coefficients: a+b=-2, AB =-2.

∴?

ab+？

ba=？

(a+b)2-2abab=-4。

(2) P2-2p-5 = 0,5q2+2q-1= 0, where p and q are real numbers, then p2+?

1q2=？

? .

.