2005.doc ( 2) (x 1) x 20 8 x x 2 (k 1) x 6=0 2 k 21 8 O AB CD P AC DB 1 PAC PDB 2 AC DB S PAC =4 S PDB A O D C P B AB 0.

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1 ( 2) (x 1) x 20 8 x x 2 (k 1) x 6=0 2 k 21 8 P 1 P P 2 S P =4 S P P (1) y y=ax 2 (2) c a b =a =b =c r 21 8 x 3 3x 2 + 2x = /20/2006

2 = = m (1), (2)? =5m 2m m 1 x m y 2 (m ) y x x 2 x a + b c s = a b 4 2 a b c s s = p( p a)( p b )( p c ) a + b + c p = s y x P 2 P P Q Q 2 Q Q Q /20/2006

3 21 29 (-1) = 1 x 1 + x cm 3 01cm y=-2x+2 x Rt =90 x % H P x x x+36(cos 2 c-cosc+1)=0 1 = 2 P= /20/2006

4 y=ax 2 +bx+c a = (1) 12-2 sin 60 ( 5 + 2) (2) 5 3 = x 1 x = = 19 ( ) ( 290 ) ( ) 20 ( ) ( ) ( ) 21 ( ) xcm 10cm 80cm 100cm 2 x 22 ( ) (1) ( (2) (1) (3) 36 ( ) ( ) H H G H H ( ) 180 = ( ) (1) ( 1 ) 1500 (2) ( ) 1 x y ( ) 1 t (1) t (2) S S 3 t (3) ( 7 ), :,,, 4 : ; ; ;,, /20/2006

5 22( 8 ), (2,1), P, P P,, P1,P2,,Pk,( k PK, ) 23( 8 ),,,=6,=5,, : 24( 10 ), 550,,,, 100, 20%, 10%,? 25( 10 ),, 2,, y = x + c GH 5:1, :(1) c ;(2) MNPQ 26( 12 ), = 60, = 24 cm, = 16cm P, ; Q, P 4cm /, Q 2cm /,, :(1), PQ?(2) (1),P,Q? ( 3 1) y = x x + y = 5 (1) (2) G H H=G S / n 1 S n /20/2006

6 23 12 =10 H H=2 1 2 P P P=2 5 P x x 2 (k+2)x+5=0 S S = = k= 2 P Q 1 P Q Q QM M PM t t PM G 25 4 G = 26 6 m m> ( 4) 4 + 2sin M 1 M M 2 M= M M y = x 4x /20/2006

7 x x1 0 x2 0 x 2 + x a m 2a cm R x y x P a 0 x P H P H R P PH P a a=6 P H P ( 25 ) = =a =h a=40 h a=40 x h x a= s1 2 s2 s1 s2 a= x= 2, y = 1 P Q P Q Q P ,0 2, /20/2006

8 22 10 H H H P P Q Q Q Q Q cm Q Q Q Q Q Q 1 1 Q Q 2 1 Q Q 25 x y 5 4 x P P y = x 2 + bx+ c b c l l Q Q l x y M M y = x 2 + kx k 5 x 19 ( 8 ) (2 3)2 ; 20 ( 8 ) 21 ( 8 ) 6 x y y S S /20/2006

x y 22 ( 10 ) ( ( ) 2 3 ( ) 23 ( 12 ) ( 60 60 ) 50 90% 24 ( 12 ) = M M 2 1 2 2 M 3 cot M Q P 25

9 x y 22 ( 10 ) ( ( ) 2 3 ( ) 23 ( 12 ) ( ) 50 90% 24 ( 12 ) = M M M 3 cot M Q P 25 ( 14 ) Rt 4cm P Q P 1cm/s P 2cm/s x(s) x PQ PQ y(cm 2 ) 0 x 2 y x 0 x 2 PQ PQ x ( ) /20/2006

10 22 y M x, M M x (-3 0), (5,0) M, =8, = 2 2,, PQ MN tan G, GH H G x HG y y x =2 MN /20/2006

11 PQ 2 y = ax + bx+ c (0,0),(4,0),(5,5) y 5 l, tan = l, P 9 P PQ y Q P P,Q, P a x bx 3 a b 20 x = x=2 a 0 b b a 22 (-2,-3),(1,3) ; P(-1,1)? 23,,=, G, H, G G 3, 24 x x 2 2(m+1)x+m=0 m, ; m,, 25,,,, i1, =775,, i2(i1<i2) M=h, s 2 (1) i2=1:17,h=3, M (1) i1 i2 h, S ( i1 i2 )( i, i= h l, 1:m ) M % /20/2006

12 ( ) 27 y=-x 2-2kx+3k 2 k>0 x, y, y ( ), =4,G ( ), G x P (1) ; (2) G, tan P (3) G, GM, H, P M, N, MN=t,GM=u, u t Y Y G G P X P H M N X 19 :( - 2) 2 - (1-2 ) 0 20 : 21, x 1, x 2 3x 2 +2x 1=0, x 2 1 +x ,, = : = 23 3, 3 3, /20/2006

13 21, 36, 8, 30 0, 9, 60 0, 11,? , o,, (1) : 2 = (2), ; (3) (1), 26 y=x 2 +bx a 2 (1) a b, (2) 1,2,3,a b, 27 : 1,P ( ), P PQ Q, Q QR R, R RS S P=x,S=y (1) y x, (2) SP=1/4, P (3) S P T P S,P S T P P S?( ) S P R Q /20/2006

學透視光陰法遠近法色彩與水墨作一融合以期達自然之妙境劍父先生曾云 : 我以為舊國畫的好處, 係筆墨與氣韻氣韻由筆端寫出, 此乃作者心靈特異之表現, 不可強而致之, 氣

學透視光陰法遠近法色彩與水墨作一融合以期達自然之妙境劍父先生曾云 : 我以為舊國畫的好處, 係筆墨與氣韻氣韻由筆端寫出, 此乃作者心靈特異之表現, 不可強而致之, 氣第五章創作自述本篇論文以南宋山水繪畫之烟樹雲山為研究的主題, 並以陽明山作為個人創作之對象今人師古, 而古人師法自然, 在研習宋人畫技之餘, 真誠的面對大自然的真山真水, 借由觀察體會感受, 並經過濾思考取捨轉化終至畫品