As shown in the figure, two pieces of paper of equal width are crossed and overlapped, and the quadrilateral ABCD of the overlapped part is______ Shape

Through point a, make AE ⊥ BC in E, AF ⊥ CD in F, ∵ the width of two strips is the same, ∵ AE = AF. ∵ ab ∥ CD, ad ∥ BC, ∵ quadrilateral ABCD is parallelogram. ∵ s ▱ ABCD = BC · AE = CD · AF. also ∵ AE = AF. ∵ BC = CD, ∵ quadrilateral ABCD is diamond

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1. As shown in the figure, is the quadrilateral ABCD obtained by superposition of two rectangles of equal width a diamond? Prove your conclusion An engineering team is planning to repair BM every day. Due to weather, cm (C
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3. It is known that, as shown in the figure, the quadrilateral ABCD is a diamond, f is a point on AB, DF intersects AC with E
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5. As shown in the figure, known quadrilateral ABCD is diamond, de ⊥ AB, DF ⊥ BC, please explain the quantitative relationship between be and BF
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7. As shown in the figure, in the plane rectangular coordinate system, the line y = 23x - 23 intersects with the edges OC and BC of the rectangular ABCO at points E and f respectively. If OA = 3 and OC = 4 are known, then the area of △ CEF is () A、6 B、3 C、12 D、 43
8. In the plane rectangular coordinate system, the area of △ CEF when the line y = 2 / 3x-2 / 3 intersects with the edge OC and BC of rectangular ABCO and points E and F are known as OA = 3 and OC = 4 respectively
9. As shown in the figure, oabc is a rectangular piece of paper, where OA = 8 and OC = 4. Through folding, point C coincides with point a, and the crease is ef (1). Find out the length of OE (2) And prove (3) whether there is a moving point P in the straight line where EF is located, so that the value of | pb-pc | is the maximum. If not, please explain the reason; if so, calculate the coordinates of point P
10. In the rectangular coordinate system, there is a rectangle oabc, OA = 2, OC = 1, and the coordinate of point P is (0, - 1) (1) Finding the function analytic expression of the straight line PB (2) If the line L passing through P intersects with BC, and the ratio of the area of the rectangular oabc divided into parts is 1:4, the analytic function of the line L is obtained
11. As shown in the picture, two pieces of paper of equal width are crossed and overlapped. Is the overlapped part ABCD a diamond? Please prove it
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