Quadrilateral ABCD, ad vertical BD, EF diagonal to o, ab = 6, ad = 4 of = 1.5, calculate the circumference of BCEF ABCD is a parallelogram. EF passes through the intersection o of diagonal line and intersects with AB and CD at points E and f respectively

Quadrilateral ABCD, ad vertical BD, EF diagonal to o, ab = 6, ad = 4 of = 1.5, calculate the circumference of BCEF ABCD is a parallelogram. EF passes through the intersection o of diagonal line and intersects with AB and CD at points E and f respectively


The conditions are not homogeneous. What are e and f? Is a quadrilateral an arbitrary quadrilateral, a trapezoid or a parallelogram? What is o? Is it a diagonal intersection?
Or the title has a picture, you didn't draw it
Triangle EBO is equal to triangle ODF (because od = ob, all three angles are equal), so DF = be, so EB + CF = DF + FC = CD
BCEF perimeter = CD + BC + EF = 6 + 4 + 1.5 * 2 = 13



As shown in the figure, in the parallelogram ABCD, if AB = 4, BC = 7, OE = 3, then the perimeter of the quadrilateral EFDC is


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The diagonals AC and BD of parallelogram ABCD intersect at O and EF, passing through O, and intersect AB and CD at e, F, ab = 6, ad = 4, OE = 1.5, respectively


I will not adopt the problem until it is solved



Given that the side length of square ABCD is 2 and point P is a point on diagonal AC, the maximum value of (. AP +. BD) ·(. Pb +. PD) is______


Take a as the coordinate origin, AB as the positive direction of X axis, ad as the positive direction of Y axis to establish a rectangular coordinate system, then a (0, 0), B (2, 0), C (2, 2), D (0, 2), ∵ P points have diagonal AC, let P (x, x), 0 < x < 2, so. AP = (x, x),. BD = (- 2, 2),. Pb = (2-x, - x),. PD = (- x, 2-x) (. AP +. BD) ·(. Pb +. PD) = 4x-4x2 = - 4 (X-12) 2 + 1 when X =12, the maximum value is 1, so the answer is: 1