As shown in the figure, make a point P, make PE = PF, and make the distance from point P to both sides of ∠ AOB equal

As shown in the figure

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1. M. The distance between two points of n is 10cm, and there is a little p, which satisfies PM + PN = 13cm A. Point P must be on line Mn B. Point P must be outside the line Mn C. Point P may be on or outside the line Mn D. None of the above is true
2. Given: angle ABC and two points m, N. calculate: point P, so that PM = PN, and the distance from point P to both sides of ABC is equal
3. As shown in the figure, in the rectangular coordinate system, O is the origin, and the image with known inverse scale function y = K / X (k > 0) passes through point a (2, m), passes through a and makes ab ⊥ X axis at point B, and The area of ⊿ AOB is 1 / 2. The line L passing through the origin intersects with y = K / X at P and Q. try to write the minimum PQ of the line segment according to the image
4. In Cartesian coordinates, O is the origin of coordinates, and the image of the first-order function y = x + k-1 intersects the image of the inverse scale function y = K / X If M = 1 / 2K, then the value of K is (). If OP = 3, then the value of K is（
5. If the image with inverse scale function y = K / X passes through point a, point a is on the angular bisector of the fourth quadrant, and OA = 3 pieces of 2, the analytic expression of inverse scale function y = K / X is
6. It is known that the image of inverse scale function y = 1 / X and y = 2 / X intersects the image of positive scale function y = 1 / 2 x at two points AB as shown in the figure, then OA ratio ob is equal to
7. The line L passing through the fixed point P (2,1) teaches that the positive and half axis of X axis is at point a, the positive and half axis of intersecting Y axis is at point B, and O is the coordinate origin to find the minimum perimeter of triangle OAB?
8. Let the straight line pass through the fixed point P (1,2) and intersect with the positive half axis of X and Y axes at two points a and B respectively, and o be the origin coordinate, then the minimum value of the circumference of △ AOB is obtained
9. As shown in the figure, P is any point on the image with inverse scale function y = K / X (k > 0). The perpendicular line passing through point P is the x-axis. The perpendicular foot is point m. It is known that s triangle POM = 2 (1) Find the value of K (2) if the image of the line y = x and the inverse scale function intersects at point a in the first quadrant, find the analytic expression of the function of the line passing through point a and point B (0, - 2)
10. Given that point P moves on the image with function y = 1 / 2x (x > 0), PM is perpendicular to point m, PN is perpendicular to point n, the line y = - x + 1 intersects with X axis, Y axis intersects at points a and B, and the line segments PM and PN intersect with line AB at points E and f respectively, what is the value of AF × be?
11. The distance between two points Mn on the plane is 17cm. If there is a point P on the plane and the sum of the distance between two points Mn is equal to 25cm, then the following conclusion is correct A. Point P is on the line Mn. B, P must be outside the line Mn. C, point P must be outside the line Mn. D, point P may be on the line Mn or outside the line Mn
12. If the distance between M and N on the plane is 17cm, P is another point on the plane, and PM + PN = 25cm, then ： 1. Point P is on line Mn 2. Point P must be on line Mn 3. Point P is outside the line Mn 4. Point P must
13. P is the golden section point of segment Mn, MP is greater than Mn, and MP = (root 5-1), then what is Mn equal to?
14. Given the line segment Mn = 4cm and the point P is the golden section point, find the length of the longer line segment MP?
15. Given that the segment Mn = 4cm, point P is the golden section point, find the length of the longer segment MP
16. The length of segment Mn is 2 cm, and point P is the golden section point of segment Mn
17. As shown in the figure, in the isosceles triangle ABC, point P is a moving point on the bottom edge AC, and m and N are the midpoint of AB and BC respectively. If the minimum value of PM + PN is 2, then the perimeter of △ ABC is___ ．
18. As shown in the figure, in rectangular ABCD, ab = 30, ad = 40, P is a moving point on BC, passing through point P as PM ⊥ AC at point m, PN ⊥ BD at point n, let's ask if point P is at BC Does the value of PM + PN change during movement? If it does not change, calculate the value; if it changes, try to point out the range of change
19. P is a moving point on the edge of rectangle ABCD, ab = 3, BC = 4, PM and PN are the distances to the diagonal respectively. Prove that (PM + PN) is a fixed value and calculate this value Did not learn the trigonometric function rectangle topic
20. As shown in the figure, the two diagonals of diamond ABCD are 6 and 8 long respectively. Point P is a moving point on diagonal AC, and points m and N are the midpoint of edge AB and BC respectively. Then the minimum value of PM + PN is______ ．