Those who will be able to solve problems will enter the second year of junior high school, and the m

1.Ten factorization.

Ten primary functions 1 (3,4) The coordinates of the point with respect to the x-axis symmetry are The coordinates of the point with respect to the y-axis symmetry are The coordinates with respect to the origin symmetry are

The distance from point b(5, 2) to the x-axis is the distance to the y-axis is and the distance to the origin is

3 With the point (3,0) as the center of the circle, the coordinates of the intersection point of the circle with radius 5 and the x-axis are The coordinates of the intersection point with the y-axis are

If 4 points p(a 3,5 a) are in the first quadrant, then the range of a is

5 Xiaohua uses 500 yuan to buy a commodity with a unit price of 3 yuan, and the remaining money y (yuan) and the number of pieces of this commodity purchased x (pieces).

The function relationship between x is that the value range of x is

6 The range of the independent variable x of the function y= is

7 When a=, the function y=x is proportional.

8 The image of the function y= 2x 4 passes through the quadrant, and the area of the triangle enclosed by the two axes is the perimeter of

9 If the image of the primary function y=kx b passes through the point (1,5) and intersects the y-axis at 3, then k= b=

10 If the point (m, m 3) is on the image of the function y= x 2, then m=

3.Ten geometric proofs.

Factorization:

The primary function 1, y is proportional to x, when , y=5Find the analytic formula of this proportional function.

2. The image of the primary function is known to pass through two points, a(1,2) and b(3,5), and the analytical formula of the primary function is obtained. 3.Knowing that the image of the primary function passes through the point p(2,0) and the area of the triangle intercepted with the two coordinate axes is 3, the analytical formula of this primary function is obtained.

4. Knowing that the straight line y=kx passes through (2,-6), then the value of k is ( )a, 3 b, -3 c, 1 3 d, -1 35, the straight line y=-3x is shifted downward by 5 units, and the analytical formula of the function corresponding to the obtained straight line is ( )a, y=-3x+5 b, y=3x+5 c, y=3x-5 d, y=-3x-56, in the circumference formula c=2 r, the number of variables is ( )a, 1 b, 2 c, 3 d, 4 7, no matter what value b takes, the straight line y=3x+b must pass through ( )a, first.

1. 2nd quadrant b, 1.

1. Three quadrants c.

Quadrants 2 and 3 d, No.

2. Quadrant 8, if the point a(2,4) is on the image of the function y=kx-2, then the following points on the image of the function are ( )a, (0,-2) b, (3 2,0) c, (8,20) d, (1 2,1 2)9, regardless of the value of m, the intersection of the straight line y=x+2m and y= x+4 cannot be at ( )a, the first quadrant b, the second quadrant c, the third quadrant d, the fourth quadrant 10, the image of the primary function is known to pass through a(2,-1) and the point b, where the point b is the intersection point of another straight line y= 5x+3 with the y-axis, find the analytic expression of this primary function.

Geometric proof: +

Factorization 1(Dongyang County, Zhejiang Province, 2010) factorization: x3-x=[Answer] x(x+1)(x-1)2

2010 Xijiaxing City, Zhejiang Province) factorization: 2mx2 4mx 2m [Answer] 2m(x-1)2 3(Jinhua, Zhejiang Province, 2010).

Decomposition factor x2-9 [Answer] (x-3)(x+3)4(Taizhou City, Zhejiang, 2010) factorization: x2-16 = [Answer] (x-4) (x+4).

1.A parallelogram of land, with a base length of 280 meters and a height of 115 meters, collected a total of 7,084 kilograms of rapeseed. How many kilograms of rapeseed are produced per square metre on average?

2.There is a rectangular red silk piece that is 12 meters long and 9 meters wide, and how many sides can be made into a right-angled triangle flag with a bottom length of meters and a height of meters?

3.There is a parallelogram-shaped steel plate with a base length of meters, which is 3 times as high. It is known that this steel plate weighs 39 kilograms per square meter, how many kilograms does this steel plate weigh?

4.There is a parallelogram of iron plate, the base is 9 decimeters, and the height is 6 decimeters. A small part can be pressed per square decimeter. How many parts can this iron plate be pressed into?

Have you ever studied the cosine theorem?

1. Xiao Ming bought a box of apples, and the size of the carton containing apples is 50x40x30cm. Now Xiao Ming wants to put this box of apples in two cube cartons of the same size, and ask how many cm are the edges of these two cube cartons?

Let the edge length of these two cube cartons be xcm, then.

50x40x30=2x^3

x^3=3*10^4

So, x = 10 times the 3rd root number 30.

That is, is there a square root of the 3rd root number 30cm2 and -3 of the edge length of these two cube cartons of 10 times?

A: No. Since, -3 = 9, negative numbers have no square root.

3. If the root number m+2=2 is the square root of (m+2)?

If the root number m+2=2 then (m+2) =4 =16, so the square roots of (m+2) are 4 and -4.

Root number 64-3 root number 4/36 + root number 225 = how much.

Root number 64-3 root number 4/36 + root number 225 = 8-3 * 2 6 + 15 = 8-1 + 15 = 22.

If the root number m+2=2 then we can solve m=2 or m=-6 and bring it into the equation to get (m+2) squared as 8, and its square root is 2 and square 2

=(3k+2)²-4(k+1)(k-1/2)9k²+12k+4-4(k²+k/2-1/2)5k²+10k+6

5 (k+1) +1 > 0 for the stool

Therefore, Fang Shui refers to the two non-sales and the same solution.

=(3k+2)²-4(k+1)(k-1/2)9k²+12k+4-4(k²+k/2-1/2)5k²+10k+6

5(k+1)²+1>0

Therefore, it is known that there are two different traps in Fucheng.

In abc, ad is its angular bisector, dab= dac, pe ab, dpe= dab, pf ac, dpf= dac, so dpe= dpf, pd is the angular bisector of epf, d is the point above it, pe, pf are the two sides of the angle of epf, according to the angular division theorem, the distance from d to pe is equal to the distance from d to pf.

The master is in this bf=de

Proof: Because the isosceles trapezoidal so ab=cd, the angle abc = angle c because ae=be so the angle abc = angle bae so the angle bae = angle c

Because ab=cd and because bf is perpendicular ae,de is perpendicular to bc, then the angle afb=dec and the triangle abf is all equal to the triangle dce so bf=de

2) Prov: Because E is the midpoint of AC, then AE=CE because AD is parallel to BC so angle DAE=angle ACB because angle AED = angle CEF so triangle full AED equals triangle so AD=CF2. Supplemental DF Vertical AC Rationale:

From the above question, ae=ce, de=fe, so the quadrilateral afcd is a parallelogram, and because df is perpendicular to ac, the quadrilateral afcd is a diamond!!

Haha applaud!!

(1) Conjecture: bf=de

2) Proof: Do AG BC over point A

ad‖bc de⊥bc

The quadrilateral adeg is rectangular.

ag=de, bf ae, bea= aeg

afe≌△age

bf=agbf=de

2、∵ad‖bc

ead=∠ecf

E is the AC midpoint.

EA=EC and AED= FEC

aed≌△cef

AD=CF to change the condition.

It is not difficult to know that the above condition has been bisected diagonally, so according to the judgment condition of the prism.

A quadrilateral with diagonals bisected perpendicular to each other is a prism.

Then we just need to modify the ac df.