首先来个简单' x; i! t+ t# g, ]; @" L5 ?# ~, v
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>> syms t r a b q
S+ X o9 C2 Z) _! }# u>> x=r*cos(t)+a;
8 F) x+ {+ k+ T7 T>> y=r*sin(t)+b;# ?) b( ?2 ]5 {; D- O
>> X=-x*cos(q)-y*sin(q);/ y, N" V' u4 V3 i
>> simplify(X)- t$ o! \0 k0 [- [6 h) S3 D
+ ]. Y) s. e/ v% o- {& \. N1 a; vans =* y% p1 Q0 h5 B0 Q& P8 F' X% V
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- a*cos(q) - b*sin(q) - r*cos(q - t)
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1 A t0 W X' q. E# g复杂点 就不化简了
2 l& Q5 L N1 a* P/ R" H% X >> syms t r a b k q A. c6 U) x3 H' J( _/ C6 I
>> x=r*cos(t)+a;
2 X/ j9 d* [( y! S+ h. v% |: ~' ~>> y=r*sin(t)+b;9 @' q' _1 n$ L, M9 x; p( N
>> N=[-cos(k*q) -sin(k*q) cos(q);-sin(k*q) cos(k*q) sin(q)];
4 e6 v7 n" e* ^: L$ @+ F) ?$ a9 I; F>> M=[x;y;A];! m- B- |3 @, R0 A8 e
>> NM=N*M
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NM =7 R9 o* T0 H/ u; H8 N
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A*cos(q) - cos(k*q)*(a + r*cos(t)) - sin(k*q)*(b + r*sin(t))) V; `' l: U E$ L3 ^( a
cos(k*q)*(b + r*sin(t)) - sin(k*q)*(a + r*cos(t)) + A*sin(q)7 P/ j% \$ V% n
* a% Y/ B- l. w% q0 D9 F$ ~- r>> x1=A*cos(q) - cos(k*q)*(a + r*cos(t)) - sin(k*q)*(b + r*sin(t));
9 ]1 [7 X: }" m$ A- [! q>> simplify(x1)
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5 h9 Z; u3 p6 _% G' P/ Aans =# P& T" s' L# m; K4 u8 `" Y, l$ k$ t
! D/ V$ d$ p4 m0 x3 o+ _A*cos(q) - cos(k*q)*(a + r*cos(t)) - sin(k*q)*(b + r*sin(t)) 化简无效果 按正常应该是
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2 v3 J) ]! Q. T" t2 \A*cos(q) - a*cos(k*q) - b*sin(k*q)-r*cos(k*q-t)% M9 J) A) P4 g2 P, Y; Q0 K' \& w
6 }" V/ G: j: ?. Z* K# R>> y1=cos(k*q)*(b + r*sin(t)) - sin(k*q)*(a + r*cos(t)) + A*sin(q);5 r3 p9 |$ s$ I
>> simplify(y1)+ a( I7 y) `, g$ P k1 j4 T/ `8 O2 Q
$ M+ F R, M) k% ^$ J1 ^, qans =) _1 u: \0 T1 z9 q: F
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cos(k*q)*(b + r*sin(t)) - sin(k*q)*(a + r*cos(t)) + A*sin(q)
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