One wrong word, one wrong punctuation, two language mistakes As a result of many times of actual combat, we have finally mastered the method of consulting materials. When consulting materials, we need to make clear what we are looking for and learn to browse. Some of them can be excerpted, copied or even cut and pasted. Consulting materials broadens our vision, enhances our insight, and improves our ability to analyze and solve problems Ask for 3q in 30 minutes

After many times of actual combat, we have finally mastered the method of consulting materials. When consulting materials, we should make clear what we are looking for, learn to browse, and some can be excerpted, copied or even cut and pasted. Consulting materials broadens our vision, enhances our insight, and improves our ability to analyze and solve problems

With the help of the teacher, my spelling has been greatly reduced

With the help of teachers, my spelling has been greatly reduced. It should not be "reduced" but "reduced"

With the help of the teacher, my spelling is greatly reduced

With the help of the teacher, my spelling was greatly reduced
Typos and reductions are not well matched

Given the quadratic function f (x) = ax ^ 2 + BX + C, if f (x) + F (x + 1) = 2x ^ 2-2x + 13, find the analytic expression of function f (x)

F (x) + F (x + 1) = ax & # 178; + BX + C + a (x + 1) &# 178; + B (x + 1) + C = 2aX & # 178; + (2a + 2b) x + A + 2C + B = 2x & # 178; - 2x + 13; 2A = 2; a = 1; 2A + 2B = - 2; b = - 2; a + B + 2C = 13; 2C = 14; C = 7; the analytical formula is f (x) = x & # 178; - 2x + 7; f (x) = x & # 178; - 2x + 7;

The intersection coordinates of the straight line 2x + 2 and the parabola y = x & # 178; + 3x are?

(1,4) and (- 2, - 2)

In all quadratic functions, is the intersection of the parabola and the y-axis the vertex of the parabola?

Only when the symmetry axis is y-axis, the intersection of the parabola and y-axis is the vertex of the parabola

Several problems in the application of equations in the first year of junior high school
Just list the formula
1. Party A and Party B are facing each other at a. B, 10 kilometers away. Party A walks x kilometers per hour, and Party B walks 2x kilometers per hour. They meet after starting for 1.5 hours at the same time. Calculate the speed of Party A and Party B (only equations are listed)
2. A town has decided to reconstruct a section of highway. It is known that it will take 20 days for the project to be completed by team a alone, and 10 days for team B alone. Due to the delay of team B, team a will do it alone for 2 days, and the rest of team a and team B will do it together, and it will take a few days to complete (just list the equation)
3. The car uphill is 28 kilometers per hour, and the downhill is 35 kilometers per hour. The downhill is 14 meters less than twice the uphill. It takes 12 minutes more to return from a long distance than to go. How many kilometers is the uphill and downhill distance (only equation)

(x+2x)*1.5=10
(x+2)/20+x/10=1
x/28+(2x-14)/35=12/60+x/35+(2x-14)/28

Given that the point Q (2,0) and the circle CX ^ 2 + y ^ 2 = 1 on the rectangular coordinate plane, the ratio of the tangent length from the moving point m to the circle C to | MQ | is equal to the root 2, the trajectory equation of the moving point m is obtained

（x-4)²+y²=7

If one root of the equation 4x ^ 2 - (2a + 1) x-a ^ 2 = 0 is greater than 1 and the other root is less than 1, the value range of the real number a is obtained

There are two different roots
(2a+1)^2+16a^2>0
equation holds good under all circumstances
x1>1,x20,x2-1

What's the ranking of China's land area in the world?
China has a land area of 9.6 million square kilometers, ranking the third in the world. The first is Russia, the second is Canada, the fourth is the United States, and the fifth is Brazil

Land area: Russia first, Canada second, China third