If there are two different intersections between the straight line X-my + 3 = 0 and the curve y = √ 4-x & # 178, find the value range of the real number M

If there are two different intersections between the straight line X-my + 3 = 0 and the curve y = √ 4-x & # 178, find the value range of the real number M

Substituting x = my-3 into y = √ (4-x & # 178;)
y=√(-m²y²+6my-5) y≥0
Square of two sides (M & # 178; + 1) &# 178; y-6my + 5 = 0
The equation has unequal real roots X1 and X2, and they are all greater than or equal to 0
Discriminant = (- 6m) &# 178; - 20 (m) &# 178; + 1) > 0
16m²>20
The solution is m √ 5 / 2
According to Weida's theorem, X1 + x2 = 6m / (M & # 178; + 1) ≥ 0
Because M & # 178; + 1 ≥ 1 > 0
So m ≥ 0
To sum up: M > 5 / 2

Given that B + C of a is equal to C of B + a of B is equal to a + B of C, find the value of ABC of (a + b) (B + C) (c + a)

Let: (B + C) / a = (c + a) / b = (a + b) / C = t --- - (1) then there is: B + C = at (2) C + a = BT (3) a + B = CT (4), then the above three formulas are added (2) + (3) + (4) then there is: (B + C) + (c + a) + (a + b) = (a + B + C) t, that is: 2 (a + B + C) = (a + B + C) t, it is concluded that: T = 2

It is known that a * 4 / 3 is equal to 11 / 12 * B is equal to 15 / 15, and ABC is not equal to 0. Put ABC in the order from big to small, and say why

The larger the number multiplied, the smaller the number

(2010. Haian the first mock exam) in the plane rectangular coordinate system, the image of function y=-x+1 and y=-32 (x-1) 2 is roughly ()
A. B. C. D.

∵ the image of y = - x + 1 passes through the first, second and fourth quadrants, the opening of y = - 32 (x-1) 2 is downward, and the vertex is at the point (1,0), ∵ at the same time, only the image that meets the condition has option D, so select D

Put down an upright matchbox, can you calculate the area of ladder ABCD in different ways and verify Pythagorean theorem again?

It is proved that the quadrilateral BCC ′ D ′ is a right angled trapezoid, s trapezoid BCC ′ D ′ = (BC + C ′ D ′) BD ′ = ∵ RT △ ABC ≌ RT △ ab ′ C ′ ≠ BAC = ∵ BAC ′. ∩ CAC ′ = ∩ cab ′ + ∩ B ′ AC ′ = ∩ cab ′ + ∩ BAC = 90 °; s trapezoid BCC ′ D ′ = s △ ABC + s △ CAC ′ + s △ D ′ AC ′ = AB + C2 + AB =;;; =;;;;;; A2 + B2 = C2

ABC times b equals BD6 and ABC times d equals D9B. What are the ABCD values?

a=1,b=2,c=3,d=4

A trapezoid has an upper base of 8 cm. If the lower base is extended by 3 cm, it will become a parallelogram with an area of 24 square cm larger than the original trapezoid
Today (July 9, 2009) only
Can you play the whole equation

Set the height to X
(5 + 8) x / 2 + 24 = 8x
The solution is x = 16
The calculated area is (5 + 8) * 16 / 2 = 104

If △ ABC ∽ DEF is known, the similarity ratio is 3, and the perimeter of △ ABC is 18, then the perimeter of △ DEF is ()
A. 2B. 3C. 6D. 54

∫△ ABC ∫ def, the similarity ratio is 3, the perimeter of △ ABC is 18, the perimeter of ∫ ABC ∫ def = 3, and the perimeter of ∫ DEF is 6

Imagine composition [future?]

The school of the future
More than ten years later, with the rapid development of science and technology, what's the change of my primary school? What's the primary school like? I asked the director for a day's leave after my field trip at the Mars Development Institute. After I got the approval, I immediately flew the speed of light spacecraft to the gate of the primary school, I was surprised. Where's the 800 square meter playground of the school? It was built underground. Ah, it's as bright as day. The area is 2-3 times of the original, which can accommodate more than 5000 people. The underground playground also has parallel bars, table tennis tables, horizontal bars After class, it's a place for students to relax their minds and enjoy themselves. After I took the elevator, I went straight to a teaching building. This teaching building is the old one in the past, and now it's a brand new one. This teaching building is 20 stories high, specially for students of grade 1 to 6. I took the elevator to the 17th floor, After entering a classroom, the blackboard that used to write with chalk has become a voice controlled blackboard. As long as the teachers want the blackboard to have what kind of content, they can have what kind of content. For example, the teacher says "give exercises". The computer will play out the exercises that have been prepared in advance. The biggest difference between the current classroom and the previous classroom is that the classroom is warm in winter and cool in summer, The wall of the teacher's building is also unique. If a teacher is very angry, the color of the wall that the teacher sees is green, and his mood will suddenly brighten. When another teacher is very nervous, the color of the wall that the other teacher sees is blue, The teacher will be as relaxed as he just woke up After appreciating my school, I have many feelings: Science and technology is like a colorful new dress, which makes the primary school of Wantang so beautiful and shining! At this time, my machine clock rings, the day's holiday is ready, and I reluctantly leave here, my dear Primary School of Wantang

Ma Xiaohu is going to make a closed cube box. First, he uses five squares of the same size to make the splicing figure (solid line part) as shown in the figure. After folding, he finds that there is still one missing face. Please connect another square to the splicing figure in the figure, so that the newly spliced figure can become a closed cube box after folding Shadow representation)______ ．

More than one, for reference only