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风火山林 2017-04-22 12:33

答疑:再论镜头成像质量标准

下载学习下,多谢高老师
隼翔fishfly 2017-05-22 00:30
感谢高老师的分享
tonlia 2017-05-22 08:03
再论镜头成像质量标准
zhoutao 2017-06-04 17:44
都是牛人,
sniper_2008 2017-06-09 12:02
谢谢高老师!
有李有光 2017-07-06 16:04
感谢高老师!
boffin 2017-07-18 14:40
支持了,好东西 ,谢谢高老师~~
18814126426 2017-08-12 15:09
谢谢高老师~~
yhjl221 2017-08-14 15:11
拜读,感谢分享
spyspy27 2017-09-30 16:00
谢谢高老师~~
sswing 2017-10-09 09:12
高老师,辛苦了
上帝 2017-10-09 15:18
再论镜头成像质量标准
newforce 2017-10-21 16:27
谢谢~~~~~~~~~~~
随缘 2017-10-25 21:53
看一下
wugfon 2017-11-04 16:17
这么好
xufg 2017-11-08 09:41
学习中
azhen8233 2017-11-18 17:39
!///////////////////////////////////////////// se ]q~<&  
!作者:Drding --SITP Api<q2@R  
!时间:2006.12.23 5rPK7Jh`B  
!功能:计算几何相差 ;lU]ilYv  
!///////////////////////////////////////////// x2@W,?oPm  
0k):OVfm=  
!///////////////////////////////////////////// ~Jlo>  
print "=================================================" 04}" n  
print "作者:Drding@SITP" _=ziw|zI  
print "时间:2006.12.23" DB>.Uf"  
print "功能:计算几何相差" d%w#a3(  
print "=================================================" CTh!|mG  
MFqM 6_  
!///////////////////////////////////////////// +L>?kr[i[  
p*OpO&oodu  
o5`LLVif5y  
!////////////////////////////////////////////// f>kW\uC  
print "系统参数" ^!yJ;'H\  
print "==================================================" G}ccf%  
!////////////////////////////////////////////// +u|p<z  
FORMAT 20.9 \ N;%  
GETSYSTEMDATA 1 R\^XF8n6/  
PRINT "孔径大小 : ", VEC1(1) eR*y<K(d  
PRINT "环境数据 : ", VEC1(4) 6E0{(*  
PRINT "温    度 : ", VEC1(5) dp~] Wx  
PRINT "压    强 : ", VEC1(6) [)L)R`  
PRINT "有效焦距 : ", VEC1(7) R^ &nBwp  
PRINT "像面 F/# : ", VEC1(8) 4 /Q4sE~<  
PRINT "物方N.A. : ", VEC1(9) G ;fc8a[X  
PRINT "工作 F/# : ", VEC1(10) lJ$j[Y  
PRINT "入瞳直径 : ", VEC1(11)  *CS2ndp  
PRINT "入瞳位置 : ", VEC1(12) ux=0N]lc  
PRINT "出瞳直径 : ", VEC1(13) | l|7[  
PRINT "出瞳位置 : ", VEC1(14) nr>Os@\BU  
PRINT "理想像高 : ", VEC1(15) 6 ~LCj"  
PRINT "理想放大率: ", VEC1(16) Vb$4'K '  
PRINT "角放大率 :", VEC1(17) KVA~|j B  
PRINT "系统总长 : ", VEC1(18) O;m@fS2%3  
print "==================================================" .sE5QRVc  
Z @d(0 z  
!////////////////////////////////////////////////////// E3P2  
ro`2IE>  
print "几何像差计算" &>$+O>c ,  
print "===================================================" 1Bhd-  
print "一.  轴上像差计算" ,"U_oa3  
print @kmOz(  
Exu>%  
print "1.D光球差计算" M# a1ev  
>Ndck2@  
nlsif  
!1H处球差计算 @?E|]H!S]  
*%;+3SV  
n=NSUR() :,[=g$CT:  
UD}#c:I  
!主波长近轴理想像位置 gSn9L)k(O  
PARAXIAL ON SoPiEq  
RAYTRACE 0,0,0,1 wM aqR"%  
R=RAYM(n)/RAYN(n) ~P;KO40K  
ld=-1*RAYY(n-1)/R _&xi})E^O]  
ld$=$STR(ld) bWEti}kW  
print "主波长近轴理想像位置:", ld$ 5wgeA^HE2y  
'7;b+Vbl#  
!主波长1H光线实际像位置 DLBHZ?+!  
PARAXIAL OFF mNDz|Ln  
RAYTRACE 0,0,0,1 6xq/  
r_1h=RAYM(n)/RAYN(n) 9Impp5`/B  
ld_1h=-1*RAYY(n-1)/r_1h U\~9YX8  
ld_1h$=$STR(ld_1h) PTZ/j g@71  
print "主波长边缘实际像位置:", ld_1h$ wcW8"J'AH  
RW I7eC  
!主波长0.7H光线实际像位置 Fx6]x$3  
PARAXIAL OFF ~8l(,N0  
RAYTRACE 0,0,0,0.7 (]gd$BgD  
r_0.7h=RAYM(n)/RAYN(n) %ok??_}$}q  
ld_0.7h=-1*RAYY(n-1)/r_0.7h x_VD9  
ld_0.7h$=$STR(ld_0.7h) eF=cMC  
print "主波长0.7H实际像位置:", ld_0.7h$ ?=#vp /  
:Y)jf  
!主波长边缘球差δL_1h    主波长0.7视场球差 8DLj?M>N  
DLD_1H=ld_1h-ld mMSQW6~j  
DLD_0.7H=ld_0.7h-ld 9?J 3G,&  
print "D光1H球差       D光0.7H球差" Y5,[udF:O  
Format 13.7 (u:^4,Z  
Print $STR(DLD_1H),$STR(DLD_0.7H) F(}~~EtPHo  
print *3Qwmom  
}fT5(+ Wo  
print "2.F光球差计算" i&_&4  
!F光1H位置 YkuFt>U9,  
PARAXIAL OFF l>){cI/D#  
RAYTRACE 0,0,0,1,1 VxA?LS`  
rf_1h=RAYM(n)/RAYN(n) mi]bS  
ldf_1h=-1*RAYY(n-1)/rf_1h 0+dc  
ldf_1h$=$STR(ldf_1h) R!Lh ~~@{(  
print "F光1H像位置:",ldf_1h$ 'JK"3m}nT  
l2Pry'3  
!F光0.7H位置 ]:_s7v  
PARAXIAL OFF 3[F9qDAy  
RAYTRACE 0,0,0,0.7071,1 @]F1J  
rf_0.7h=RAYM(n)/RAYN(n) h'm-]v  
ldf_0.7h=-1*RAYY(n-1)/rf_0.7h w 8B SY  
ldf_0.7h$=$STR(ldf_0.7h) 0* ^>/*  
print "F光0.7H像位置:",ldf_0.7h$ ' Ih f|;r  
DV{0|E  
!F光0H位置 s{9 G//  
PARAXIAL ON ^I y'G44  
RAYTRACE 0,0,0,1,1 Swr 8  
rf_0h=RAYM(n)/RAYN(n) CFTw=b@  
ldf_0h=-1*RAYY(n-1)/rf_0h ;Y9-0W  
ldf_0h$=$STR(ldf_0h) dtx3;d<NsJ  
print "F光0H像位置:",ldf_0h$ kJ[r.)HU  
q"9 2][}  
!求F光球差 ;k |U2ajFJ  
dldf_1h=ldf_1h-ld NXHe;G  
dldf_0.7h=ldf_0.7h-ld gzd<D}2F~  
dldf_0h=ldf_0h-ld +=MN_  
print "F光1H球差     F光0.7H球差     F光0H球差" r\T'_wo  
Format 13.7 AEd]nVV Q  
Print $STR(DLDf_1H),$STR(DLDf_0.7H),$STR(dldf_0h) vN9R. R  
print f"RS,]  
G nPrwDB  
print "3.C光球差计算" 5_7y1  
!C光1H位置 c4V%>A  
PARAXIAL OFF yQ!I`T>a  
RAYTRACE 0,0,0,1,nwav() s3sPj2e{  
rc_1h=RAYM(n)/RAYN(n) E< Y!BT[X  
ldc_1h=-1*RAYY(n-1)/rc_1h Z_;! f}X  
ldc_1h$=$STR(ldc_1h) C C B'  
print "C光1H像位置:",ldc_1h$ S7 !;Z@  
8_Nyy/K#F  
!C色光0.7H位置 572{DC&T  
PARAXIAL OFF H@!]5 <:9  
RAYTRACE 0,0,0,0.7071,nwav() JnIE6@g<y  
rc_0.7h=RAYM(n)/RAYN(n) J!\oH%FJp  
ldc_0.7h=-1*RAYY(n-1)/rc_0.7h XY^]nm-{I  
ldc_0.7h$=$STR(ldc_0.7h) ^).  
print "C光0.7H像位置:",ldc_0.7h$ Qg]+&8!*  
Mz6PH)e;  
!C光0H位置 b.j$Gna>Q  
PARAXIAL ON R8-=N+hX  
RAYTRACE 0,0,0,1,nwav() fSF_O}kLp  
rc_0h=RAYM(n)/RAYN(n) #w@V!o  
ldc_0h=-1*RAYY(n-1)/rc_0h < Dt/JA(p  
ldc_0h$=$STR(ldf_0h) ZM16 ~k  
print "C光0H像位置:", ldc_0h$ XR_Gsb%l  
H <9_BA?  
!求C光球差 4;*jE (  
dldc_1h=ldc_1h-ld H1.ktG  
dldc_0.7h=ldc_0.7h-ld i__f%j`!W  
dldc_0h=ldc_0h-ld \q@Co42n\  
print "C光1H球差      C光0.7H球差    C光0H球差" sBk|KG  
Format 13.7 Ao+6^z_  
Print $STR(DLDc_1H),$STR(DLDc_0.7H),$STR(dldc_0h) wxo*\WLe  
print [Ob09#B%:5  
Tq?7-_MLC$  
print "4.轴向色差计算" k+BY3a  
dlfc_1h=ldf_1h-ldc_1h @jCMQYR  
dlfc_0.7h=ldf_0.7h-ldc_0.7h GL%)s?   
dlfc_0h=ldf_0h-ldc_0h )FN\jo!!.  
print "1H色差          0.7H色差        0h色差" 6WX?Xc]$3  
Format 13.7 ot0g@q[3  
Print $STR(DLfc_1H),$STR(DLfc_0.7H),$STR(dlfc_0h) lVCnu> 8  
print ,bzC| AK  
3rBID  
2HO2  
print"================================================" [y~kF?a  
print"二. 轴外像差计算" S!rVq,| d  
print "1.正弦差计算" ,FwpHs $A  
(&SPMhs_|(  
!依次求LZ,h1,h01,U,sinU 2H1 [ oD[  
PARAXIAL ON EM(%|#  
RAYTRACE 0,1,0,0 ++n_$Qug  
LZ=-1*RAYY(n-1)/(RAYM(n-1)/RAYN(n-1)) g:Q:cSg<  
!print $STR(LZ) Y-lwS-Ii  
85e*um^  
PARAXIAL OFF eA*We  
RAYTRACE 0,0,0,1 fr'DV/T  
h1=RAYY(1) 6"?#E[ #[  
sinu=RAYM(n-1) *R}p9;dpO  
PARAXIAL ON SAiaC _  
RAYTRACE 0,0,0,1 wrc1N?[bn  
h01=RAYY(1) Fi/`3A@68  
OSC1=h1*R*(ld-LZ)/(h01*sinu*(ld_1h-LZ))-1 pedyWA>  
print "1).物距在无限远:" ,$STR(osc1) \H&;.??W  
>{l b|Vx  
PARAXIAL OFF P_5G'[  
RAYTRACE 0,0,0,1 l$[,V:N  
sinu1=RAYM(0) Sk:x.oOZ  
PARAXIAL ON (|#%omLL  
RAYTRACE 0,0,0,1 gF`hlYD  
u1=RAYM(0) Vju/+  
!print $STR(u1) !L( )3=  
OSC2=sinu1*R*(ld-LZ)/(sinu*u1*(ld_1h-LZ))-1 v,Zoy|Lu  
print "2).物距在有限远:",$STR(osc2) 4]FS jVO  
print .K1wp G[4  
cY Qm8TR<  
c>3j $D+  
EEMRy  
@-Y,9mM   
print "2.1W处轴外像差"  [aG   
aK_k'4YTm  
PARAXIAL OFF ZuZCIqN  
RAYTRACE 0,1,0,1 RP^vx`9h  
ya_1w=RAYY(n) 'v@*xF/L6a  
TANua_1w=RAYM(n-1)/RAYN(n-1) cltx(C>   
PARAXIAL OFF {6%-/$LX  
RAYTRACE 0,1,0,-1 7{l~\] 6d  
yb_1w=RAYY(n) o^'QGs "  
TANub_1w=RAYM(n-1)/RAYN(n-1) |tU wlc>  
XT_1W=-1*(ya_1w-yb_1w)/(tanua_1w-tanub_1w) f]mVM(XZN  
print "1).子午宽光束场曲:",$STR(XT_1W) 9-vQn/O^D  
oIQ$98M  
Q,Y^9g"B`~  
PARAXIAL OFF >vR2K^  
RAYTRACE 0,1,0,0.01 *yY\d.6(  
Xya_1w=RAYY(n) 17`-eDd  
XTANua_1w=RAYM(n-1)/RAYN(n-1) J qmL|S)  
PARAXIAL OFF ;JMmr-@  
RAYTRACE 0,1,0,-0.01 2Q7X"ek~[  
Xyb_1w=RAYY(n) pe>?m^gz[  
XTANub_1w=RAYM(n-1)/RAYN(n-1) 7F_N{avr  
XXT_1W=-1*(Xya_1w-Xyb_1w)/(Xtanua_1w-Xtanub_1w) gyPwNE  
print "2).子午细光束场曲:"$STR(XXT_1W) F\v~2/J5v  
lauq(aD_C  
ZD7qw*3+  
DLT_1w=XT_1W-XXT_1w KfYT  
print "3).1 W处子午球差:",$STR(DLT_1w) gzy|K%K  
dc_2nF  
2aX{r/Lc  
PARAXIAL OFF o9yUJ@ :i  
RAYTRACE 0,1,0,0 ep0dT3&  
YP_1w=RAYY(n) V6h8+|hK  
KT_1W=ABSO(YP_1w)-0.5*(ABSO(yb_1w)+ABSO(ya_1w)) 7TU xdI  
print "4).1 W处子午彗差:",$STR(KT_1w) /1D.Ud^  
$dWYu"2C D  
.,U4 ATO  
f*IvaY  
PARAXIAL OFF 9]lyV  
RAYTRACE 0,1,0,0 ^QG<_Dm]  
CE_1W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) RTDplv; ]  
PARAXIAL OFF ksJ 1:_  
RAYTRACE 0,1,1,0 .TDg`O24c,  
XS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) Ab:ah 7!  
print "5).1W宽光束弧矢彗差:",$STR(XS_1w) 9'e<{mlM  
]"htOO  
@?;)x&<8?3  
PARAXIAL OFF lDF7~N9J_  
RAYTRACE 0,1,0.01,0 1_]%,  
XXS_1w=CE_1W*RAYX(n)/(RAYX(n-1)-RAYX(n)) :7JP(j2  
print "6).1W细光束弧矢彗差:",$STR(XXS_1w) PfB9 .f{  
d2)]6)z6  
vS[\ j  
SDLD_1W=XS_1w-XXS_1w rY&#g%B6Fp  
print "7).1 w   弧矢球差:",$STR(SDLD_1W) R~|(]#com  
9 g- 8u+&  
t<$J 3h/"  
XTS_1W=XXT_1W-XXS_1w >6@,L+-6r  
print "8) 1w     像散:",$STR(XTS_1W) `2^(Ss# )  
<OJqeUo+*\  
-j:yEZ4Oy  
PARAXIAL ON A/fM30  
RAYTRACE 0,1,0,0 4x?I,cAN  
H_1H=RAYY(n) A:(qF.Tm  
PARAXIAL OFF 52,'8` ]  
RAYTRACE 0,1,0,0,2 R6:m@  
Hf_1h=RAYY(n) ne3t|JZ  
DYZF_1h=Hf_1h-H_1h O*x~a;?G  
print "9).F光1w畸变:",$STR(DYZF_1h) l<ZHS'-;8  
(:%t  
}<w9Jfr"X  
PARAXIAL OFF aGws?<1$  
RAYTRACE 0,1,0,0,3 :_nGh]%  
Hc_1h=RAYY(n) ^gNbcWc7CU  
DYZc_1h=Hc_1h-H_1h $fT#Wva-\d  
print "10).C光1w畸变:",$STR(DYZc_1h) -/*VR$c  
tL1\q Qg  
ac966<#  
DYZFC_1h=DYZF_1h-DYZC_1h gQ%mVJB{(  
print "11).F,C光垂轴色差:",$STR(DYZFC_1h) o]&P0 b  
print ^P A|RFP  
PL!dkaD^y>  
R yM2 9uD  
print "3. 0.7W轴外像差" l|vT[X/g  
\_i22/Et  
PARAXIAL OFF lH@goh  
RAYTRACE 0,0.7071,0,1 i }Zz[b  
ya_0.7w=RAYY(n) kho0@o+'^  
TANua_0.7w=RAYM(n-1)/RAYN(n-1) oz[G'[\}F  
PARAXIAL OFF d-W*`:Q  
RAYTRACE 0,0.7071,0,-1 wyAh%'V  
yb_0.7w=RAYY(n) 8493O x4 O  
TANub_0.7w=RAYM(n-1)/RAYN(n-1) PlgpH'z4$  
XT_0.7W=-1*(ya_0.7w-yb_0.7w)/(tanua_0.7w-tanub_0.7w) c? GV  
print "1).子午宽光束场曲:",$STR(XT_0.7W) &_j<! 3*  
A1z<2.R  
#SjCKQ~  
PARAXIAL OFF ed3wj3@  
RAYTRACE 0,0.7071,0,0.01 w !<-e>  
Xya_0.7w=RAYY(n) ymnK`/J!Q  
XTANua_0.7w=RAYM(n-1)/RAYN(n-1) A2\3.3  
PARAXIAL OFF f 9IqcCSW  
RAYTRACE 0,0.7071,0,-0.01 }*aj&  
Xyb_0.7w=RAYY(n) Zw%:mZN  
XTANub_0.7w=RAYM(n-1)/RAYN(n-1) =*>.z@WQ  
XXT_0.7W=-1*(Xya_0.7w-Xyb_0.7w)/(Xtanua_0.7w-Xtanub_0.7w) f'`y-]"V5)  
print "2).子午细光束场曲:",$STR(XXT_0.7W) -rHqU|  
{!wd5C@  
ra_TN ;(  
DLT_0.7w=XT_0.7W-XXT_0.7w |RqCI9N6  
print "3).0.7W处子午球差:",$STR(DLT_0.7w) LfCgvq6/pO  
KF!d?  
AXnKhYlu  
PARAXIAL OFF - ku8n%u  
RAYTRACE 0,0.7071,0,0 *TCV}=V G  
YP_0.7w=RAYY(n) e ^`La*n  
KT_0.7W=ABSO(YP_0.7w)-0.5*(ABSO(yb_0.7w)+ABSO(ya_0.7w)) (l(d0g&p>  
print  "4).0.7W处子午彗差:",$STR(KT_0.7w) Z-" NLwt[  
_. EM])b  
C{G%"q  
O@:R\MwFOZ  
PARAXIAL OFF 1Vz3N/AP%?  
RAYTRACE 0,0.7071,0,0 :x^e T  
CE_0.7W=SQRT((RAYY(n-1)-RAYY(n))*(RAYY(n-1)-RAYY(n))+LD_1H*LD_1H) oL!C(\ERh  
PARAXIAL OFF ') 2LP;(  
RAYTRACE 0,0.7071,1,0 ' 8Q }pp`  
XS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) c`\qupnY  
print "5).0.7W宽光束弧矢彗差:",$STR(XS_0.7w) <Skf n`).  
0wF)bQv1  
XXD4T9Wy  
PARAXIAL OFF 77]lp mC  
RAYTRACE 0,0.7071,0.01,0 fj9&J[  
XXS_0.7w=CE_0.7W*RAYX(n)/(RAYX(n-1)-RAYX(n)) ,XN4Iy#BZl  
print "7).0.7W细光束弧矢彗差:",$STR(XXS_0.7w) #&z'?x^a  
?f!&M  
qK%#$JgqA  
SDLD_0.7W=XS_0.7w-XXS_0.7w , 0?_? GO  
print "7).0.7w弧矢球差:",$STR(SDLD_0.7W) O >@Q>Z8W?  
f Avh!g  
}b{7+ + Ah  
XTS_0.7W=XXT_0.7W-XXS_0.7w ws U@hqS  
print "8)0.7w     像散:",$STR(XTS_0.7W) @f,/K1k  
:01B)~^  
3b`#)y^y?%  
PARAXIAL ON \vpX6!T  
RAYTRACE 0,0.7071,0,0 ItZ*$I1<  
H_0.7H=RAYY(n) (tiE%nF+  
PARAXIAL OFF X8~?uroq  
RAYTRACE 0,0.7071,0,0,2 SF"r</c[  
Hf_0.7h=RAYY(n) 'S9jMyZrZ  
DYZF_0.7h=Hf_0.7h-H_0.7h OhM_{]*  
print "9).F光0.7w畸变:",$STR(DYZF_1h) I y5)SZ'  
QVl"l'e8  
w(*},  
PARAXIAL OFF WP^wNi ~>  
RAYTRACE 0,0.7071,0,0,3 x}{O9LiR  
Hc_0.7h=RAYY(n) _d>{Hz2  
DYZc_0.7h=Hc_0.7h-H_0.7h %P C[-(Q  
print "10).C光0.7w畸变:",$STR(DYZc_0.7h) xlc2,L;i  
vSCJ xSt#e  
Dh<}j3]  
DYZFC_0.7h=DYZF_0.7h-DYZC_0.7h UunZ/A$]m  
print "11).F,C光垂轴色差:",$STR(DYZFC_0.7h) Nkn2\ w  
FyChH7  
print"================================================" 0])[\O`j  
Pa?C-Xn^  
vVjk9_Ul  
I:;umyRH  
@z=L\ e{  
F^?DnZs  
:+8qtIytKX  
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不错  高老师 45OAJ?N  
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sci_yagnx 2017-12-12 10:15
支持了,好东西
江氏哥 2017-12-12 10:59
谢谢高老师~~
qwerty19917 2017-12-13 22:31
都是高手,菜鸟膜拜
bingdaocike 2017-12-14 23:10
感谢高老师
我是子风子 2017-12-28 14:27
感谢高老师!
月衍素 2018-01-07 15:23
谢谢老师分享
kakk54 2018-01-08 08:07
感谢高老师!!!
wy_fng 2018-01-24 11:52
附件已经补上,感谢高老师!
ioelz 2018-01-24 16:45
taixiexiel
hydk 2018-03-07 11:50
高老师辛苦了,谢谢7
hemet 2018-04-24 10:47
谢谢!
reallyz 2018-05-02 09:55
拜读大作
燃烧的浅蓝 2018-05-07 19:55
e1%kW1Z9  
资料很不错
故乡那条河 2018-05-08 16:05
学习学习! CxSh.$l  
wsqa123 2018-07-11 09:04
好好学习一下
林天烽 2018-08-21 16:51
感谢分享
jasion 2018-09-06 08:53
谢谢分享,
zs1063090201 2018-10-23 19:11
学习罗 X *:,|  
sdplan 2018-10-29 12:48
感谢高老师
wk371699903 2018-11-02 11:27
继续学习! j; R20xf0  
bairuizheng 2018-11-02 19:43
谢谢高老师
woshihaobazi 2018-11-07 14:54
附件已经补上,感谢高老师!
sad138 2018-11-15 09:33
谢谢老师!
蓝海小谭 2018-11-22 09:19
谢谢‘’‘’‘’
ellen123 2019-01-09 00:35
谢谢老师,好东西
cgl155410 2019-01-11 11:13
谢谢高老师
joker_vivid 2019-01-17 15:19
感谢高老师!
星空38 2019-01-17 22:49
对“光学设计指引贴4”的补充
jackey_zhou 2019-04-07 14:40
非常感谢高老师的无私分享,学习啦。
sac 2019-06-11 17:40
谢谢分享!!
lihong131313 2019-06-14 08:42
感谢高老师
枫之枯 2019-06-18 23:31
学习一下
titech 2019-06-25 08:19
谢谢高老师,学习学习再学习!
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