齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开4 x. O3 d4 W$ v- o6 |, }8 c& p
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不再神神秘秘,齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开,源程序见下面:1@,H$y)P4[-Q8 E, {% g: v# f5 i# l
一、齿轮轮齿渐开渐开线# J$ R' X7 R `6 L4 b! v( F# m
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[复制到剪切板] [ - ]! b T6 I: E/ h' L/ \; `" T" G
代码:
) n- U/ Z, e/ k3 A/ C! `% Y(defun c:gear(/)9 v& N& O- l) L( e2 j4 W! G+ J
(
; P+ D1 ~' U# P0 Wsetq
1 U1 s$ N5 m1 }. pp0 (getpoint"输入齿轮中心p0: ")
' E5 k0 z$ E3 l( K0 }: A$ k* ^) Am (getreal"输入齿轮模数M: ")5 J0 f2 {/ V/ c2 w2 d8 G
z (getint"输入齿轮齿数Z: ")
4 e3 Q, S- V" H+ l4 _ha 1
8 n/ G8 l" u9 R% d7 g# K( @c 0.256 p( u+ E8 r. v1 B: g4 H
a (/ pi 9)$ L! W7 s, y$ ~8 ~
ra(/ (* (+ z (+ ha ha)) m) 2)/ n- j D5 D! l7 s1 a
rf(/ (* (- z (+ (+ ha ha) c)) m) 2)3 }9 ]' W. {9 x- F
r(/ ( * m z) 2)/ H' z" L& J+ F" Q, ~+ |% ]: [
rb ( * r (cos a))
+ H1 q' I2 u- d7 Q' Qri rb I/ z" J* g' A+ q
ang 08 J J5 e# U% }, |/ s+ o0 l/ m
g (polar p0 ang rb)
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(command "circle" p0 ra)( p- M1 L- I3 U r+ N
(command "circle" p0 rf)
O* N; t( F/ F7 y- ~. N(command "circle" p0 r)
7 s, ?0 C* g$ J: f(command "line" g)
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(while (< ri ra)6 l2 n8 S2 J' w2 m/ U. b# V+ T- ^
(setq
, O: P& R4 d: h: d9 z+ A7 jang ( + ang(/ pi 360))5 E. c2 _- u) @1 \' s& E3 b
ri ( / rb (cos ang))
3 ` C* X- k0 Y1 Tcta ( - (/ (sin ang) (cos ang)) ang)
5 |/ F) }& _) N% J Qg(polar p0 cta ri)3 U5 Z% {# t/ c' n" B) q$ i
) z5 U3 \9 ^, q( K% L7 @' f
2 u5 C( {1 v( R(command g)
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(command )
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1 C8 `+ C5 Y. U* I. P二、螺旋源程序
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' t: [+ f& E- u4 }2 s$ E0 W& Z[复制到剪切板] [ - ]8 x$ \. C$ v' [4 A# e9 Q0 O) I% e
代码:: E& f4 a4 A( w
(defun errMsg (s)- M7 Q$ x" g1 w5 B, }# E6 Z- N
(if (/= s "function cancelled") (princ (strcat "
- h: Y) i8 p" l8 i- d* h RError: " s)))
7 L7 U4 f4 B3 \. L1 W, A( q* Q/ a; 当命令执行时出现错误
/ Z- a, N3 s* _5 ~& F: |(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C, H. ?/ M( j" `: j* y) {2 U
(setvar "osmode" osmold)
7 j* J) I6 J2 B1 X3 ?(setq *error* olderr) ; 恢复旧的错误处理. W8 x( i$ T5 ]) I( U, ~
(princ)
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3 V4 ~* q- h7 v- Z(defun c:3Dthread (/ radouter threadpitch threadlength threadangle * e& M( t# ^9 P# E2 F, n( y S
ptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)0 d8 |, s% B6 T
;-------------------------------------------------------------------* k; z7 P9 G: x
; 获取公制外径大小、螺距总长
~* @2 B3 q$ L( _: j' I; 然后计算一系列几何点
8 \% y+ W0 o& B0 Q- E; 并且关闭对象捕捉、命令回显
; D: L! x3 Z) f3 t# O7 s# l9 o; H;-------------------------------------------------------------------
$ k7 u% i/ X) K3 p( O) n(setq 4H (list 0.0015 0.002 0.002 0.0025 0.003 0.0035 0.004 0.005 0.006 0.007 0.008 0.009 0.010))
3 q/ A g& t T9 A8 K+ n(setq 5H (list 0.002 0.0025 0.003 0.004 0.0045 0.0055 0.0065 0.0075 0.009 0.010 0.0115 0.0125 0.0135)) $ v4 k% b2 f, {- W( u5 m. i
(setq 6H (list 0.003 0.004 0.0045 0.0055 0.0065 0.008 0.0095 0.011 0.0125 0.0145 0.016 0.018 0.020))
; Y' B+ y# {- D1 d7 S/ i2 c# M N(setq h6 (list -0.003 -0.004 -0.0045 -0.0055 -0.0065 -0.008 -0.0095 -0.011 -0.0125 -0.0145 -0.016 -0.018 -0.020))
, F; H& ?5 ?! A* W! A& |) u) b$ j! Q(setq g6 (list -0.005 -0.008 -0.0095 -0.0115 -0.0135 -0.017 -0.0195 -0.023 -0.0265 -0.0295 -0.033 -0.036 -0.0515)) 5 N1 e5 K: ^; |* U: h/ a
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(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值
2 }% J$ w& e# r' Y) ]8 r+ l9 i @(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值$ s/ j' s1 g( R, [2 I ?2 g6 M
(setvar "osmode" 0) ; 关闭对象捕捉
9 ~3 Q3 t6 I4 Q( N# j' w(setvar "cmdecho" 0) ; 关闭命令的回显. L$ m3 L! S+ V# I+ Y( f0 ?
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(setq innerdiafactor 1.5) ; 设置内径系数
# D& [" Q; o' b! }- e! ?& C(initget 7) ; radmid 必须非零、非空、非负- c# w; _$ ` [$ F p
(setq radmid (getdist "8 q4 R7 u1 a+ n2 X* D% C, t/ z
公制外径: "))
; k0 {" m' _; F: o5 V(initget 7) ; threadpitch 必须非零、非空、非负' T" {- T* m! Q! F
(setq threadpitch (getreal ") J' o$ x" p4 ?1 {
螺距: "))
. r8 a/ P/ E. U9 a' L( k8 P(initget 1) ; ptStart 必须非空4 H& S" N1 _) G' d1 ?+ _+ `3 N* g" n
(setq ptStart (getpoint "7 ^! M: Z9 n+ s; g/ E
起始点: "))
0 \7 N: D" m7 m5 ]! d(initget 3) ; threadlength 必须非零、非空、非负( T8 W/ Y( Q6 Q) D; s
(setq threadlength (getdist "
y8 z3 H/ P6 [' o" C螺纹总长(Y方向): "))7 v7 ]$ U+ I5 |" u# C
, U6 | P( ]0 A% ]; 对公制外径添加公差5 z! b$ x1 M" r
(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置! _: B0 K; D1 F$ `, p. f* r( ~
(if (<= radmid 6) (setq order 1)
0 u9 ]1 }7 r7 z! {1 z5 @(if (<= radmid 10) (setq order 2), Z* ~2 [ h" J/ L) N2 r
(if (<= radmid 18) (setq order 3)1 s6 r) T! V% g: q! N" W, ]
(if (<= radmid 30) (setq order 4)
& @+ y9 \) n0 \% q1 u(if (<= radmid 50) (setq order 5)1 {/ z" b# D5 E, W
(if (<= radmid 80) (setq order 6)/ y3 c) S! \2 h2 ^0 T" e+ m
(if (<= radmid 120) (setq order 7)
+ k2 W% A8 N. q/ f1 ~; H S( }7 V1 N(if (<= radmid 180) (setq order 8)2 h- b1 U: }7 p; K6 ?! L& z8 F
(if (<= radmid 250) (setq order 9)5 Q4 ^, R, t6 F M ?+ j. W+ p/ b
(if (<= radmid 315) (setq order 10)3 Y+ v! F& h1 X0 R0 ]
(if (<= radmid 400) (setq order 11)' g. X; V; q/ \" ^
(if (<= radmid 500) (setq order 12)2 c/ L6 k6 |! ^8 p! q
)))))))))))))$ X* j) n1 K9 N8 e/ y3 \
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(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带
4 g% G: l! }- _- ?, _, a4 C(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))
% H7 D. \/ K) n(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H)))
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(setq h (* 0.866025 threadpitch)) ; 计算齿高- X7 R4 }$ \9 A) ], x. i3 Z4 [: U
(setq radouter (+ radmid (/ h 4))) ; 计算外径
2 h) c8 a7 b7 n& _# P(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径
, \3 @& j0 Q2 f' v( Y: G(setq threadangle (+ 30 0)) ; 计算齿顶角
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(auxithread radouter radmid radinner threadpitch threadlength threadangle ptStart) ; 调用绘制三维螺纹的子函数
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(princ "
1 J* |% N! h( E三维螺纹创建完成")
2 ~$ v k0 q4 ~# ^( p# W0 U(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值" R; `, s% p7 Z9 z5 v- z D5 S) x- R
(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值9 _7 {) @: j8 P3 d. V6 M
(princ)$ q& l4 I# K# |- A, J$ Z
)
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(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a
' q' k V1 G; l+ R1 h4 Y% |" [# g# ]pt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)/ M$ Q. S4 A+ i, R5 h
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;(command "undo" "begin") ; 开始undo步骤
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(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3)1 w2 }; n9 h; I' E! u" _
pttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))
' C1 ?7 z o2 ~, c6 ^; ~& `pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))
9 d2 l j+ a' s: X. c( s: jpttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)
% H( S; u, Q9 m3 npttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))3 K, Y: E8 g9 S9 K3 h, i
ang (angle pttmp1 pttmp3)+ E% O* w5 L# m! I
pt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)
: ~- \3 s& h/ J8 Q$ ept1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))2 L _5 F5 L3 y% m! }
pt3a (polar pt1a ang radouter)! x0 E9 \4 y6 n( m% {( r9 s
pt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)
' U1 Z! [) x- O; e! x1 M7 `pt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))9 ^4 a8 ~2 B' { P* b9 L1 R4 f
pt3b (polar pt1b ang radouter)# Z+ ^) `9 W4 i" F( F4 H$ K: E; p# Z. n
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1)
9 l5 G# D* Z: g. c& m0 Upttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil)
8 B) Y$ K9 T# ?% gpttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart)), \5 N4 W5 |' q+ \5 q
pttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)( {2 m% F! b+ P1 z! G7 z* B% F
pttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)
G" x [) M0 V! u% U- @, Ipttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)0 q' I) U) u# u
pttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))6 {, }: T( }! |1 L" y4 u
pttmp11 (polar ptStart (/ pi 2.0) threadpitch)
. u1 K; ` |7 X% b' ]0 K" Spttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength)): g9 }3 b1 l R' m
)$ n5 I4 p S& G2 E- E) I I8 i
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;-------------------------------------------------------------------
- C% A" f5 E( M0 C/ N+ K; 绘制两个倒置的并偏移1/2螺距的圆锥$ V+ k) s) \: m% V
; 这两个圆锥都以中剖面剖分
/ l) r: s$ o! |; 进行并集运算
, p, U$ F z0 n E! ];-------------------------------------------------------------------6 W- i' D; p2 k/ A
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(SETQ startcone "order")4 ]$ t A2 b$ R0 W/ z+ C# d% t e
(SETQ endcone "Y")7 d2 ~' v: z5 G9 `8 |3 ~
(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)5 M( i2 E9 w. Z5 T
( ]6 `% | \- j z' f(princ "
* p0 Z, [. R" i% A& t" m! i正在绘制三维螺纹,请等待"): n; q5 F5 X" K6 X+ T" I# v
(command "pline" pttmp1 pttmp5 pttmp6 "c")
, \) t6 \1 I% [* q! J' [' Q(command "revolve" "l" "" pttmp5 pttmp6 "")
# z6 j) b, P% \4 R7 W(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)
% N: ^" ]& k' p# V9 k(command "slice" "l" "" pt1a pt3a pt1az pttmp3)
C; f' z! V4 S. g5 ~(setq tstmp (ssadd (entlast)))5 D2 `. Y4 F1 g. M; ^' p, D8 J g
(command "pline" pttmp3 pttmp9 pttmp10 "c")8 l Y+ t/ l: `
(command "revolve" "l" "" pttmp9 pttmp10 "")# x1 U8 ?( `" S8 f1 W8 b* r; h5 F
(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9)
+ m0 t" x- ]# \( [(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)6 p; `, }# ?# r. D
(setq tstmp (ssadd (entlast) tstmp)) P2 L1 f+ |* Z' q/ M; D
(command "union" tstmp ""): J+ D/ \. o8 @4 D) Z
0 B2 I- j0 D @" H;-------------------------------------------------------------------
( `/ y4 I0 @; u; 上面的实体被剖切成两份,然后进行镜像以获得螺旋线的螺旋 C# } H6 @1 S( d
; 单线的高度实际上等于两倍螺距,但是超出或者是在内部或者是/ n9 @, q' Q- z) g" F4 r1 d
; 在最后一步被切除
1 S* V m# }- B! n! a;-------------------------------------------------------------------
6 _& u0 H1 y h
4 l" D7 r/ v, a8 U# e# F(command "slice" tstmp "" "xy" ptStart "b")3 W, m O8 g1 z+ k0 ]7 b4 D
(setq tstmp (ssadd (entlast) tstmp))
* p( \9 c, t4 ]/ V(command "mirror" "l" "" pttmp1 "@10<0" "y") a* ?! b- h3 z# u
(command "union" tstmp "")
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6 |& Z3 L& _) R" I. j* o7 G;-------------------------------------------------------------------
3 S/ O8 ^' m6 C. s+ E! K6 o; 螺旋进行阵列操作,然后再作并集(可能会耗费一定时间)
* @: R% L1 v a; 得到的实体再切除到指定的螺旋高度
1 o# J& u; T5 @/ d$ S1 T;-------------------------------------------------------------------
% u6 T9 y( {! I& _+ k
$ V& A: R3 \& s# K2 i6 b9 q(setq e (entlast)) h" m( }+ g4 C. e" H7 U( P8 E. W! z
(command "array" tstmp "" "r" ttal 1 threadpitch). r) f$ i8 {$ D: U( C& e
(repeat (1- ttal)
9 ~$ W% u) H! A9 O$ c! j(setq e (entnext e)
4 L$ I) \2 Y) k0 Y, wtstmp (ssadd e tstmp)6 |" v, }' _2 o/ ~. _$ z! `& f
)
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(command "union" tstmp "")
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& T) E* n0 H( e# E" h; 若开始创建45度的圆锥0 a$ u- g3 @( \. Z
(if (/= startcone "order")# V3 q) `1 w' |, R+ \' |
(progn (setq e (entlast))
% U8 w" E2 K& F) r. c1 ^(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))
1 X4 Q; w- J v* f2 g(command "union" "l" e "")) q- h% _) E' G z
)
3 D) n& f/ s9 v% n, s. u$ u" {)/ ~/ k' n5 t, d9 }/ {' f+ i+ \9 Q
2 U0 k: z9 X% T3 A0 j3 T* c% D4 d(command "slice" "l" "" "zx" pttmp11 pttmp12)
5 c$ L9 K6 `. g* b(command "slice" "l" "" "zx" pttmp12 pttmp11)
: [; t% p, u# F- W1 F3 r: ^(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart)))
& y7 Y5 c7 ~6 s8 A. m2 z8 Y. j5 W; x- O
; 创建最小直径的圆柱体,然后与螺旋作交集4 F, A- X' t4 {
(setq e (entlast))4 ?5 R' A8 N5 U. t0 \
(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
& @: A1 _% ?6 N' ~3 e7 V: K(command "union" "l" e "")
6 V2 _$ c# F- R1 E6 Q(setq tstmp (entlast))
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& z1 I8 A& \5 E9 O; 创建中空的圆柱体2 |# v) ]8 r$ b3 G, ^1 ^
(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia& T! D& T% C4 u
(setq e (entlast))
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; 若最后创建45度的圆锥$ {9 ?5 x0 ]9 q
(if (/= endcone "order")
8 y; d/ t" B8 `6 i$ w; I% ~(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart)))
* O5 @7 f) \4 u2 [(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart)))
1 {' ?3 _. ?! D" f(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))
5 E& R5 _2 C) ~! C) N(command "union" "l" e "") , @! P7 L5 }3 V: {1 y
(setq e (entlast))
: `, [. W" b% f$ N' b)
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; 从大圆柱中减去小直径圆柱
. p# n8 m6 t% }8 ^5 u(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
! J3 [" ]% z% m# T' B- u! G# g' @! G5 M(command "subtract" "l" "" e "")
( O9 T) i( p: U# G5 d! r(setq e (entlast))& V1 n- D0 c, X, ?: b
% D4 i) w+ J. ?: T7 z) Z. V& ?; 从螺旋中减去圆柱
) c# w s u9 _% j c) N: q p(command "subtract" tstmp "" e "")
{$ ]: v$ A1 ?- \
& a1 j+ n; T# J6 k9 a8 D; 如果螺旋长度为负然后镜像- m. `: V1 _ H* e9 P( Q
(setq e (entlast))! c% _$ l4 a: R: m0 {
(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))
5 _0 o3 E2 F$ K( |
/ x/ h% o9 a6 @/ z& }7 t(command "zoom" "p")+ M) |- g5 @% ^$ M0 E* {( @
; (command "undo" "end") ; 结束undo步骤
4 \) a- f. L. \)
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;;;---------------------------------------------------------------------------------------------------------------------;$ V4 f( H* w5 U& I4 Q
(arxload "geom3d" nil)
% @& w: W5 C* _4 `9 d(princ "
m2 M$ n" W6 u- H0 C+ a A3DThread 已加载。 ")) C& p8 n2 E8 E) J) N& K
(princ)
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u e# R3 O2 i# x- {! |3 u
三、弹簧源程序 |