If the moving line x = A and the function f (x) = SiNx and G (x) = cosx intersect at M and N respectively, then the maximum value of | Mn | is___ .

If the moving line x = A and the function f (x) = SiNx and G (x) = cosx intersect at M and N respectively, then the maximum value of | Mn | is___ .

Let the intersection of x = A and f (x) = SiNx be m (a, Y1),
The intersection of x = A and G (x) = cosx is n (a, Y2),
Then | Mn | = | y1-y2 | = | Sina cosa|
=
2|sin（a-π
4）|≤
2．
So the answer is:
Two

If the image of the first order function y = - MX + n passes through the second, third and fourth quadrant, then the root sign (m-n) + | n | is simplified A、m B、-m C、2m-n D、m-2n

Because y = - MX + n passes through the limit of two, three and four images, so - M ＜ 0, n ＜ 0, that is: m ＞ 0, n ＜ 0, so: √ (m-n) + | n | = m-n-n = m-2n select d ideas clear, original easy to understand, hope to adopt, do not understand welcome to ask!
Hope to adopt

The graph of the first order function y = - ax + B passes through the second, third and fourth quadrants, and the root sign (a-b) * 2-radical b * 2 =? Is reduced?

Because the first order function image passes through the second, third and fourth quadrants, so - A is a negative number, B is a negative number, and a is a positive number
If A-B is greater than 0, the original formula = a-b - (- b) = a

If the image of the first order function y = - MX + n passes through the second and third quadrants, the result of (m-n) + n under radical is simplified

The original formula of M-N > 0 = | M-N | + | n | = m-n-n = m-2n

Given that the image of the first order function y = MX + n of X is shown in the figure, then | N-M | radical n | can be reduced to (). The image passes through 1.3.4 quadrant

That is, M > 0. N

m. N represents the integer part and the decimal part of the root 7 respectively, and calculates the value of Mn-N square

m. N is the integer part and the decimal part of the root 7 respectively,
m=2；
n=√7-2；
Find the value of Mn-N square
=2(√7-2)-(√7-2)²
=(√7-2)(2-√7+2)
=(√7-2)(4-√7)
=4√7-7-8+2√7
=6√7-15;
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Because a square - 4 root sign under 2 = m + n - 2 root sign Mn So a squared = m + n Mn = 8 Is there a theoretical basis for this? The answer is a = 3 M = 8 N = 1. What is the basis of the above steps?

If it's a, it can be expressed by m, N. if it's M, N, it can't be solved because two unknowns and one algebraic expression can't be solved, at least two are needed

If the square of root m + 11 (n-2) is 0, then what is Mn?

The radical m and 11 (n-1) ^ 2 are both nonnegative numbers. If their sum is 0, they are both 0
m = 0 n =2
mn =0

Is the root a seeking the arithmetic square root or square root of a? That is to say, how many results of root a? (is it only positive or one positive and one negative? Do not consider 0)

Only positive numbers

What is the arithmetic square root of root 17

4.1231056256176605498214098559741