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-10-?????? ????????? ????? ????? ????
1.
http://ad2math.voila.net/ adnanemath@gmail.com ???
???? ??? .??? Page 1 ?????? ??? ???¨C??? ???1 ???1:?????? ???? ???: ??? ???? ??? ???260¡ã60¡ã ??? ???? ???? ??? ??? 3 rad 8 ¦Ð5 rad 6 ¦Ð ??????? ???? ???50 grd24 grd ???2: 1(??? ??? ??? ??? ???A???B???C???D???E??? ??? ??? ??? ???: 9 4 ¦Ð ??? 3 ¦Ð ??? 6 ¦Ð? ??? 4 5 ¦Ð ???? 38 5 ¦Ð . 2(??? ??? ??? ??? ???Mk??? ??? ??? ???k 6 4 ¦Ð ¦Ð +k ¡Ê?. 3(??? ??? ??? ?????? ?????? ??? 9 I 4 ; 2 ¦Ð ¦Ð ? ? = ? ?? ? ??? ??? ??? ??? 4 17 J ; 3 4 ¦Ð ¦Ð? ? = ? ?? ? ??? ?K I J= ¡É. ???3: 1(??? ??? ??? ??? ???A??? ??? ??? ????? 34 5 ¦Ð . 2(??? ??? ??? ??? ??? ???B??? ??? ??? ????? 954 8 ¦Ð ?. 3(??? ??? ??? ??? ???C??? ??? ??? ????? 2013 3 ¦Ð . ???4:??? ? ??? ??? ??? ???x???y??? ???: 12 x 7 ¦Ð =??? 2 y 7 ¦Ð? =,,, 8 x 3 ¦Ð =??? 2 y 3 ¦Ð? =,,, 43 x 12 ¦Ð? =??? 2 y 12 ¦Ð? =,,, 11 x 17 ¦Ð =??? 6 y 17 ¦Ð? = ???5: ??? ???? ??? ????? ??? ??? ??? ??? ???: ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) AB;AC ;; AB;AE ;; AB;AD ;; BC;AE DA;BA ;; BD;BA ;; AE;AD ;; AE;DA ???6:???? ??? ??? ???¦Á?????? ??? ???: 1( 2 sin 2 ¦Á =??? 2 ¦Ð < ¦Á < ¦Ð. 2( 3 sin 2 ¦Á =??? 2 ¦Ð < ¦Á < ¦Ð. 3( 3 cos 2 ¦Á = ???? 2 ¦Ð ?¦Ð < ¦Á < ?. 4(tan 1¦Á = ????0 2 ¦Ð ? < ¦Á <. ???7:???: 25 163 125 170 7 sin ; tan ; cos ; sin ; cos 3 4 6 3 6 ¦Ð ¦Ð ¦Ð ¦Ð ¦Ð? ? ? ? ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? . ???8: 1( 2 tan 5 ¦Á = ????; 2 2 ¦Ð ¦Ð? ? ¦Á¡Ê ?? ?? ? ??? ?sin ¦Á???cos¦Á. 2(tan 2 3¦Á = ????0; ; 2 2 ¦Ð ¦Ð? ? ? ? ¦Á¡Ê ¡È ¦Ð? ? ? ?? ? ? ? ??? ?sin ¦Á???cos¦Á. 3( 12 cos 13 ¦Á = ????; 2 ¦Ð? ? ¦Á¡Ê ¦Ð? ?? ? ??? ?sin ¦Á???tan ¦Á.
2.
http://ad2math.voila.net/ adnanemath@gmail.com ???
???? ??? .??? Page 2 ???9: 1( 7 sin cos 5 ¦Á + ¦Á =??? ?sin ¦Á???cos¦Á. 2(2 2sin 5cos 4 0¦Á + ¦Á ? =???[ [0;¦Á¡Ê ¦Ð??? ?sin ¦Á???cos¦Á. ???01:????: 6 2 cos 12 4 ¦Ð +? ? =? ? ? ? ?sin 12 ¦Ð? ? ? ? ? ? ???tan 12 ¦Ð? ? ? ? ? ? ??? 7 cos 12 ¦Ð? ? ? ? ? ? ??? 7 sin 12 ¦Ð? ? ? ? ? ? ??? 7 tan 12 ¦Ð? ? ? ? ? ? ??? 11 sin 12 ¦Ð? ? ? ? ? ? ??? 13 tan 12 ¦Ð? ? ?? ? ? ? ??? 145 sin 12 ¦Ð? ? ? ? ? ? ??? 85 tan 12 ¦Ð? ? ?? ? ? ? . ???11:???: 2 2 2 2 2 2 2 2 2 2 3 5 7 A cos cos cos cos 8 8 8 8 3 5 7 9 11 B sin sin sin sin sin sin 12 12 12 12 12 12 2 3 4 C 1 sin sin sin sin 5 5 5 5 ¦Ð ¦Ð ¦Ð ¦Ð? ? ? ? ? ? ? ? = + + +? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ¦Ð ¦Ð ¦Ð ¦Ð ¦Ð ¦Ð? ? ? ? ? ? ? ? ? ? ? ? = + + + + +? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ¦Ð ¦Ð ¦Ð ¦Ð? ? ? ? ? ? ? ? = + + + +? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 8 9 ... sin sin 5 5 ¦Ð ¦Ð? ? ? ? + + +? ? ? ? ? ? ? ? ? ???21:: 2 4 2 4 x k ;k 2 sin x sin x D cos x cos x ¦Ð ¡Ù + ¦Ð ¡Ê ? = ? ?( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 6 6 4 4 2 2 4 4 6 6 6 6 2 2 E cos x sin x cos x sin x 5sin x cos x F 3sin x 3cos x 2sin x 2cos x G sin x cos x 3sin x cos x = + + + + ¡Á = + ? ? = + + ¡Á ???31: ????ABC??? ????A?H??? ???? ??? ???A (BC). :BAH = ¦Á???AH h=???AB a=???BC b=. 1(????cos¦Á???sin ¦Á???( )sin 2¦Áa???b???h. 2(???? ???:sin(2 ) 2sin cos¦Á = ¦Á¡Á ¦Á. 3(???-???? ??? ??????( )cos 2¦Á???:0 4 ¦Ð ¡Ü ¦Á ¡Ü??? 4 2 ¦Ð ¦Ð ¡Ü ¦Á ¡Ü. ???-???? ??? ??????2 2cos 1¦Á ????0 4 ¦Ð ¡Ü ¦Á ¡Ü??? 4 2 ¦Ð ¦Ð ¡Ü ¦Á ¡Ü ???-????:( ) 2 cos 2 2cos 1¦Á = ¦Á ?. ???-??? ??? ??? ???: 12 ¦Ð ??? 8 ¦Ð . ???14:ABC??? ????? ?????H?????? ???? ???B(AC). 1(????:2 2 2 BC AB AC 2AH AC= + ? ¡Á. 2(???? ???:( )2 2 2 BC AB AC 2AB AC cos BAC= + ? ¡Á ¡Á. 3(???:EFG:EGF 3 ¦Ð =???FG = 4???EG = 3????EF.