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The (- 2,0) line L passing through point m intersects with ellipse x ^ 2 / 2 + y ^ 2 = 1 at P1, P2 segment P1, and the midpoint of P2 is p Let the slope of the straight line l be K1 and the slope of the straight line OP be K2, and then calculate the value of k1k2
Let m: y = K1 (x + 2) and the simultaneous equations be: (1 + 2K & # 178; 1) x & # 178; + 8K & # 178; 1x + 8K & # 178; 1-2 = 0. According to Wade's theorem, X1 + x2 = - 8K & # 178; 1 / (1 + 2K & # 178; 1) because Y1 + y2 = K1 (x1 + x2 + 4) P1, P2 midpoint P ((x1 + x2
We often use decimal numbers. In computer program processing, we use binary numbers with only numbers 0 and 1. How much should we convert binary number 10110 into decimal
22
Let the difference between a polynomial and the quadratic power of polynomial-2a, the quadratic power of b-4b + 2Ab be smaller than the quadratic power of 4ab-b, the quadratic power of-a, the quadratic power of b-3b
Come on, I'm going to cram school later
The original formula = 4ab-b & # 178; - (- A & # 178; b-3b & # 178;) + (- 2A & # 178; b-4b & # 178; + 2Ab)
=4ab-b²+a²b+3b²-2a²b-4b²+2ab
=2ab-2b²-a²b
Given the function f (x) = log2 (x + A / x) (a is a constant), if the function is an increasing function on (2, positive infinity), find the value of A
Why - 4
F (x) = log2 (x + A / x) (a is a constant), if the function is an increasing function on (2, positive infinity)
X + A / x increases in (2, positive infinity)
In addition, x + A / X must satisfy the basic condition of greater than 0, that is to say, the minimum value of X + A / X is greater than 0, and 2 + A / 2 > 0 is a > - 4
If a > 0, the function x + A / x increases at (root a, positive infinity)
So the root is a
Given (a + b) ² = 27, (a-b) ² = 3, find the values of the following formulas: (1) a & #178; + B & #178;; (2) ab
If 3 & # 178; multiply 9 ^ X by 27 ^ x = 9 ^ 6, try to find the value of X
The first formula (known condition) expansion: A & # 178; + 2Ab + B & # 178; = 27, the second expansion: A & # 178; - 2Ab + B & # 178; = 3
2A & # 178; + 2B & # 178; = 30 2 (A & # 178; + B & # 178;) = 30 then a & # 178; + B & # 178; = 15
The first is to subtract the second: 4AB = 24, then AB = 6
Second: the square of 3 times the x power of 9 times the x power of 27 = the square of 3 times the 2x power of 3 times the 3x power of 3 = the 12th power of 3. After merging, the result is
2 + 2x + 3x = 12, 5x = 10, that is, x = 2
Principle and method: the base number does not change, index subtraction, different base numbers can be changed into the same, some can not be changed, such as the above question is like this, 3, is the first place of 3, 9 is the second power of 3, 27 is the third power of 3, so the operation can be carried out
If you have any questions in the future, please ask them at any time and hope to adopt them
The square of the difference between root three and root two
The root of five minus two is six
Solving the equation: 1 / 3 + x = x + 3
(1+x)/3=x+3
1+x=3x+9
2x=-8
x=-4
Let A1 = (1 + C, 1,1,1) ^ t, A2 = (2,2 + C, 2,2) t, A3 = (3,3,3 + C, 3) t, A4 = (4,4,4,4 + C) t,
When we ask what is the value of C, A1, A2, A3, A4 are linearly correlated? We find a maximal independent group and express the rest vectors linearly with the maximal independent group
| 1+c 2 +0 3+0 4+0 |
| 1+0 2+c 3+0 4+0 |
| 1+0 2+0 3+c 4+0 |
|1 + 0 2 + 0 3 + 0 4 + C | = C ^ 4 + 10C & # 179; = 0 C = 0 or C = - 10
[16 fourth-order determinants are broken up according to the column, only 5 of which are not zero, that is, C ^ 4 + 10C & # 179;]
When C = 0, {A1} A2 = 2A1, A3 = 3A1, A4 = 4A1
When C = - 10, the largest irrelevant group {A1. A2, A3} A4 = - a1-a2-a3
Solve the equation 4.2-0.6x = 3.6x,
4.2-0.6X=3.6X4.2=3.6x+0.6x4.2x=4.2x=1
In population n (the square of 52.6,3), a sample with a capacity of 36 is randomly selected, and the probability of sample mean x falling between 50.8 and 53.8 is calculated
0.9916
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