折れ線と関数 [Graphics:Images/b4_gr_1.gif] のグラフとの比較

(1) 関数 [Graphics:Images/b4_gr_2.gif] のグラフを区間 [Graphics:Images/b4_gr_3.gif] 上で赤色として定義

[Graphics:Images/b4_gr_4.gif]
[Graphics:Images/b4_gr_5.gif]

(2) 区間 [Graphics:Images/b4_gr_6.gif] 上で描く

[Graphics:Images/b4_gr_7.gif]

[Graphics:Images/b4_gr_8.gif]

[Graphics:Images/b4_gr_9.gif]

(3) 区間 [Graphics:Images/b4_gr_10.gif] 上で折れ線 (青) と[Graphics:Images/b4_gr_11.gif] のグラフ (赤) の比較をする

(i) [Graphics:Images/b4_gr_12.gif] の場合

[Graphics:Images/b4_gr_13.gif]

[Graphics:Images/b4_gr_14.gif]

[Graphics:Images/b4_gr_15.gif]

[Graphics:Images/b4_gr_16.gif]

[Graphics:Images/b4_gr_17.gif]

(ii) [Graphics:Images/b4_gr_18.gif] の場合

[Graphics:Images/b4_gr_19.gif]

[Graphics:Images/b4_gr_20.gif]

[Graphics:Images/b4_gr_21.gif]

[Graphics:Images/b4_gr_22.gif]

[Graphics:Images/b4_gr_23.gif]

(iii) [Graphics:Images/b4_gr_24.gif] の場合

[Graphics:Images/b4_gr_25.gif]

[Graphics:Images/b4_gr_26.gif]

[Graphics:Images/b4_gr_27.gif]

[Graphics:Images/b4_gr_28.gif]

[Graphics:Images/b4_gr_29.gif]

(iv) [Graphics:Images/b4_gr_30.gif] の場合

[Graphics:Images/b4_gr_31.gif]

[Graphics:Images/b4_gr_32.gif]

[Graphics:Images/b4_gr_33.gif]

[Graphics:Images/b4_gr_34.gif]

[Graphics:Images/b4_gr_35.gif]

(v) [Graphics:Images/b4_gr_36.gif] の場合

[Graphics:Images/b4_gr_37.gif]

[Graphics:Images/b4_gr_38.gif]

[Graphics:Images/b4_gr_39.gif]

[Graphics:Images/b4_gr_40.gif]

[Graphics:Images/b4_gr_41.gif]

(4) 区間 [0,a] 上において,n=k,k+3,k+6,.....,m のときの折れ線と解 [Graphics:Images/b4_gr_42.gif] のグラフのアニメーション Anime[a,k,m] の定義

[Graphics:Images/b4_gr_43.gif]
[Graphics:Images/b4_gr_44.gif]

[Graphics:Images/b4_gr_45.gif]

[Graphics:Images/b4_gr_46.gif]

[Graphics:Images/b4_gr_47.gif]

[Graphics:Images/b4_gr_48.gif]

[Graphics:Images/b4_gr_49.gif]

[Graphics:Images/b4_gr_50.gif]

[Graphics:Images/b4_gr_51.gif]

[Graphics:Images/b4_gr_52.gif]

[Graphics:Images/b4_gr_53.gif]

[Graphics:Images/b4_gr_54.gif]

[Graphics:Images/b4_gr_55.gif]

[Graphics:Images/b4_gr_56.gif]

[Graphics:Images/b4_gr_57.gif]

[Graphics:Images/b4_gr_58.gif]

[Graphics:Images/b4_gr_59.gif]

[Graphics:Images/b4_gr_60.gif]

[Graphics:Images/b4_gr_61.gif]

[Graphics:Images/b4_gr_62.gif]

[Graphics:Images/b4_gr_63.gif]


Converted by Mathematica      May 31, 2001