It is known that straight lines ab, P and Q are two points on straight line A, and M and N are two points on straight line B. ..
(1) As shown in Figure ①, line segments PM and QN are sandwiched between parallel lines A and B, and they are quadrangles.
PMNQ is an isosceles trapezoid with two waists PM = QN.
Please refer to Figure ①, and draw a figure different from Figure ① in Figure ②, so that the two line segments sandwiched by parallel straight lines A and B are equal. P Q a
(2) We continued to explore and found that two parallel straight lines A and B cut off a part of me.
There will be two "equal curve segments" (two points on the curve and one point between them) in the graph that students learn.
Part is called "curve segment", and two curve segments that can overlap after congruence transformation are called.
"Curve segments are equal"). M N b
Please draw a figure in the picture so that the two curve segments sandwiched between parallel straight lines and are equal. (Figure ①)
(3) As shown in Figure ④, if the trapezoidal PMNQ is a green space, the upper bottom PQ of the trapezoid is M, and the lower bottom MN =n n, m < n ... It is planned to plant two kinds of flowers with different prices in S 1, S2, S3 and S4, so that the flowers with the same price are not adjacent. In order to save money, which two plots should gardeners choose to plant cheaper flowers and plants? Please provide a justification for the answer.
Ask in the afternoon
a a S 1 a
S3·S4
S2
b
M n N
(Figure ②) (Figure ③ (Figure ④)
200625. (The full mark of this question is 12)
Problem inquiry
(1) Please draw a point in the square in Figure ① and explain the reason.
(2) Please draw all the points in the square in Figure (2) and explain the reasons.
problem solving
(3) As shown in Figure ③, there is now a rectangular steel plate. Master wants to use it to cut two steel plates with the largest sum. Please draw the sum of the points that meet the requirements in Figure ③ and find out the area (root number is reserved as the result).