ס''מ

נתון מלבן בעל היקף נתון של

מהו המלבן בעל השטח המקסימלי?

ניקוי מסך

ס''מ

P

עקוב אחר השתנות השטח

:ןבלמה ףקיה

a

ןבלמה חטש

s(x)=x·\frac{(p-2x)}{2}

הצג פונקצית השתנות השטח

p = 20
inputBox1 = Textfield(p)
A = Point(a_1)
B = Point(a_1)
a = Segment(A, B)
c = OrthogonalLine(A, a)
d = OrthogonalLine(B, a)
e = Circle(B, p / 2 - a)
C_1, C = Intersect(e, d)
b_2 = OrthogonalLine(C, d)
D = Intersect(c, b_2)
poly1, a_2, b, d_1, e_1 = Polygon(A, B, C, D)
text1: "AB=" + a + " ס''מ"
text3: "BC=" + b + " ס''מ"
text6: "שטח המלבן = " + poly1 + " סמ''ר"
P: (a, poly1)
inputBox1_1 = Textfield(p)
A_1 = Point(a_3)
B_1 = Point(a_3)
a_4 = Segment(A_1, B_1)
c_1 = OrthogonalLine(A_1, a_4)
d_2 = OrthogonalLine(B_1, a_4)
e_2 = Circle(B_1, p / 2 - a_4)
C_3, C_2 = Intersect(e_2, d_2)
b_1 = OrthogonalLine(C_2, d_2)
D_1 = Intersect(c_1, b_1)
poly1_1, a_5, b_3, d_3, e_3 = Polygon(A_1, B_1, C_2, D_1)
text1_1: "AB=" + a_4 + " ס''מ"
text6_1: "שטח המלבן = " + poly1_1 + " סמ''ר"
P_1: (a, poly1)
f = false
A1: p
A3 = 0.5
A4 = 1
A5: (2 * A4) - A3
A6: (2 * A5) - A4
A7: (2 * A6) - A5
A8: (2 * A7) - A6
A9: (2 * A8) - A7
A10: (2 * A9) - A8
A11: (2 * A10) - A9
A12: (2 * A11) - A10
A13: (2 * A12) - A11
A14: (2 * A13) - A12
A15: (2 * A14) - A13
A16: (2 * A15) - A14
A17: (2 * A16) - A15
A18: (2 * A17) - A16
A19: (2 * A18) - A17
A20: (2 * A19) - A18
A21: (2 * A20) - A19
A22: (2 * A21) - A20
B3: (A3 * (p - (2 * A3)) / 2)
B4: (A4 * (p - (2 * A4)) / 2)
B5: (A5 * (p - (2 * A5)) / 2)
B6: (A6 * (p - (2 * A6)) / 2)
B7: (A7 * (p - (2 * A7)) / 2)
B8: (A8 * (p - (2 * A8)) / 2)
B9: (A9 * (p - (2 * A9)) / 2)
B10: (A10 * (p - (2 * A10)) / 2)
B11: (A11 * (p - (2 * A11)) / 2)
B12: (A12 * (p - (2 * A12)) / 2)
B13: (A13 * (p - (2 * A13)) / 2)
B14: (A14 * (p - (2 * A14)) / 2)
B15: (A15 * (p - (2 * A15)) / 2)
B16: (A16 * (p - (2 * A16)) / 2)
B17: (A17 * (p - (2 * A17)) / 2)
B18: (A18 * (p - (2 * A18)) / 2)
B19: (A19 * (p - (2 * A19)) / 2)
B20: (A20 * (p - (2 * A20)) / 2)
B21: (A21 * (p - (2 * A21)) / 2)
B22: (A22 * (p - (2 * A22)) / 2)
h(x) = ((x * (p - (2 * x)))) / 2
i = false