清大暑期進修班Maple 6 作業



 
 
4-1 Construct this pretty flower: 
4-2 Construct the line segments joining (cos(t),0)
with (0,sin(t)) as t ranges over [0,2p]. 
4-3 Construct the velocity vector field along a
constant motion around a circle. 
4-4 Construct this figure: 
4-5 Construct the line segments joining 
[cos(t),sin(t)] with [cos(2t),sin(2t)] as t 
ranges over [0,2p]. 
4-6 Construct this figure: 
4-7 Construct this graph associated with the
logistic equation 
            x ' = ax(1-x) 
4-8 Draw 20 concentric circles as thus: 
4-9 Construct the circles with center at 
(cos(t),sin(t)) passing through the point (1,0) 
with t ranging over [0,2p]. 
4-10 Construct the circles with center at 
(cos(t),sin(t)) and tangent to the y-axis with t 
ranging over [0,2p]. 
4-11 Construct the circles with center at 
(cos(t),sin(t)) and and passing through 
(2cos(t)/3+cos(2t)/3,2sin(t)/3+sin(2t)/3) with 
t ranging over [0,2p]. 
4-12 Construct this figure: 
4-13 Construct this pattern: 
4-14 Construct the reflections of a light ray inside
a square: