Examples, analysis and solutions of monomials and polynomials

Examples, analysis and solutions of monomials and polynomials


Monomials: A, - 5,1x, 2XY are all monomials, but 0.5m + n is not. Monomials refer to formulas that only contain multiplication, and individual letters or numbers are also monomials



If the shape of a parabola and the square of y = - 2x are the same, the opening direction is opposite, and the vertex is (- 1,3), then its function formula is?


Guo Dunyong's answer: parabola C: y = - 2x & # 178; opening downward, vertex at origin o; parabola C1: y = 2x & # 178; opening upward, vertex at origin o; parabola C2: y = 2 (x + 1) & # 178; opening upward, vertex at point (- 1,0) parabola C3: y = 2 (x + 1) & # 178; + 3 opening upward, vertex at point (- 1,3



Two solid balls made of the same material, one with a mass of 20g, the other with a mass of 0.1g, what is the volume ratio? What is the density ratio?
It's physics. Please answer


200:1
1:1
The material doesn't change, the density doesn't change
V=M/p
P is invariant and V is only related to M



Find the rule to calculate 2 / < 1 * 3] + 2 / [3 * 5] + 2 / [5 * 7] +. + 2 / [97 * 99] + 2 / [99 * 101]


Utilization
2/(1×3)=1-1/3,2/(3×5)=1/3-1/5..2/(99×101)=1/99-1/101
It can be concluded that the final simplified formula is
1-1/3+1/3-1/5+1/5-1/7+.+1/97-1/99+1/99-1/101
=1-1/101
=100/101



Taking the focus of the parabola y2 = 4x as the center of the circle and passing through the origin of the coordinate, the equation is______ .


∵ parabola y2 = 4x ∵ focal point (1, 0) ∵ the center of the circle is (1, 0) ∵ the circle passes through the origin ∵ the radius of the circle is r = 1 ∵ the equation of the circle is (x-1) 2 + y2 = 1, that is, x2-2x + Y2 = 0 So the answer is: x2-2x + y2 = 0



What is the volume of a cylinder?


The area of the inner bottom of the cylinder multiplied by the inner height of the cylinder (from the inside of the container to the top of the container)



How to use the distributive law of multiplication by 31 times 99


31×99=31×(100-1)=31×100-31×1=3100-31=3069



If the function y = ax ^ 2-lnx is a monotone decreasing function on the interval (0,1 / 2), find the value range of real number a


y'=2ax-1/x
On (0,1 / 2) monotonically decreasing, then y '



Under standard conditions, the density of oxygen is 1.429/l. What is the volume of 16 grams of oxygen?


Under standard conditions, the density of oxygen is 1.429 g / L,
So the volume with 16 grams of oxygen is: 16 / 1.429 = 11.20 liters



If we define a ⁃ B = 5 × A-2 × B, where a and B are natural numbers, we can calculate 10 ⁃ 6,8 ⁃ 7, please help us


10※6=5×10-2×6=38
8※(5※7)=8※(5×5-2×7)=8※11=5×8-2×11=18