There is a square ABCD whose length of one side is 10 cm. E, F, G, and H of the figure are the middle points of square side, respectively.
The point O is the intersection of EF and GH.
From the point A, the point P starts from point A at 1 cm/s and moves on the line of the figure as A - E - O - F - C - G - O - H - A.
Moreover, the point Q leaves the point A at the same time with the point P and turns around the circumference of the square ABCD clockwise with fixed speed quicker than the point P.
In this case, answer the following questions.
(1) Draw the graph of the situation of the point P while it is moving on the circumference of the square ABCD.
(You must not draw the graph while the point P is not moving on the circumference of the square ABCD.)
(2) After leaving, the point Q overlapped point P for the first time at the point of 1 cm from C on CF and this overlapping was in the 2nd round.
Find the speed of the point Q.
Moreover, find the point where P and Q overlaps at the 2nd time after starting.
Write the suitable number or character in underline parts.
The point is located at __X___ cm from ___Y___ on the side ___Z____.
The point O is the intersection of EF and GH.
From the point A, the point P starts from point A at 1 cm/s and moves on the line of the figure as A - E - O - F - C - G - O - H - A.
Moreover, the point Q leaves the point A at the same time with the point P and turns around the circumference of the square ABCD clockwise with fixed speed quicker than the point P.
In this case, answer the following questions.
(1) Draw the graph of the situation of the point P while it is moving on the circumference of the square ABCD.
(You must not draw the graph while the point P is not moving on the circumference of the square ABCD.)
(2) After leaving, the point Q overlapped point P for the first time at the point of 1 cm from C on CF and this overlapping was in the 2nd round.
Find the speed of the point Q.
Moreover, find the point where P and Q overlaps at the 2nd time after starting.
Write the suitable number or character in underline parts.
The point is located at __X___ cm from ___Y___ on the side ___Z____.
Answer
(2) 61/19 cm/s
X = 80/21
Y = A
Z = AH
(1)
X = 80/21
Y = A
Z = AH
Reference
