Traditional Culture Encyclopedia - Weather forecast - 30-day weather in Gaoyou
30-day weather in Gaoyou
∴AD∥OC,
OA= 13, DC= 13 can be obtained from the distance formula between two points.
∴OA=DC.
AD = 2,OC=4,
∴AD≠OC
∴ trapezoid AOCD is isosceles trapezoid;
(2)∵M is the midpoint of AD,
∴AM=DM= 1,
∴M(2,23),
Mo = MC = 4 can be obtained from the distance formula between two points.
OC = 4,
∴OM=OC=MC=4
∴△OMC is an equilateral triangle,
∴∠MOP=∠QCP=60。
∫∠MPQ = 60,
∴∠ 1+∠2=∠ 1+∠3= 120
∴∠2=∠3,
∴△OMP∽△CPQ
∴ OMPC = OPCQ, which means 4x = 4? x4? y
∴y= 14x2? x+4(0≤x≤4);
(3)∵y= 14x2? x+4,
∴y= 14(x? 2)2+3,
When x = 2, the minimum value of y =3, that is MQ = 3.
When OP=3, x= 1, y= 134, that is, MQ= 134,
∴ When 0≤x≤2, the moving path length of point Q is 4-3= 1.
When 2 < x ≤ 3, the moving path length of point Q is 134? 3= 14
When point P moves from point O to point E (3 3,0), the path length of point Q is 1+ 14 = 54 units.
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