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分数関数 xについての分数式で表された(分母にxを含む)関数をxの分数関数という 分数関数の定義域は分母を0にするxの値を除く実数全体 漸近線 直角双曲線の場合直行する。双曲線がどこまでいっても触れそうで触れない線。 (1) y=k/xのグラフ(k≠0) 定義域 k≠0 地域 y≠0 グラフはk 0のとき第一,第三象限にあり k 0のとき第二,第四象限にある 直角に交わる2直線が漸近線となっている直角双曲線 漸近線 x=0, y=0 (2) y=k/(x-p)+qのグラフ(k≠0) y=k/xのグラフをx軸方向にp, y軸方向にqだけ平行移動した直角双曲線 漸近線 x=p, y=q (3) y=(ax+b)/(cx+d)のグラフ(ad-bc≠0) ax+bをcx+dで割ってy=k/(x-p)+qつまり(2)の形に変形できる 直角双曲線と直線の共有点 y=2/(x-1)とy=xの共有点の座標を求める場合 2/(x-1)=xとおいて両辺に(x-1)をかけて整理してxの値を求める 次に与式y=xにxの値を代入して座標を求める
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y=2^x のグラフの平行移動． #ref error ：ご指定のファイルが見つかりません。ファイル名を確認して、再度指定してください。 (title=) expgraphtranslation.zip Deffun("f(x)",["regional(y)","y=2^x","y"]); Deffun("g(x)",["regional(y)","y=2^(x-1)","y"]); Setcolor([0,0,1]); Plotdata("1","f(x)","x"); Setcolor([0,0,0]); Plotdata("2","g(x)","x"); ／／ Setcolor([0,0,1]);で青色になる． ／／ 描画面でも着色したい場合は，オプション"color- [0,0,1]" を用いる． ／／ Setcolor([0,0,1]);で黒に戻しておく． Listplot("1",[ [1,0],[1,f(1)],[0,f(1)] ],["do"]); Listplot("2",[ [2,0],[2,f(2)],[0,f(2)] ],["do"]); Listplot("3",[ [1,0],[1,g(1)],[0,g(1)] ],["do"]); Listplot("4",[ [2,0],[2,g(2)],[0,g(2)] ],["do"]); Listplot("5",[ [3,0],[3,g(3)],[0,g(3)] ],["do"]); Htickmark([1,"s","1",2,"s","2",3,"s","3"]); Vtickmark([g(1),"nw",text(g(1)),g(2),"w",text(g(2)),g(3),"w",text(g(3))]); ／／ 点の座標がわかるように点線を描いて座標を書く． Expr([A,"e","y=2^x"]); Expr([B,"e","y=2^{x-1}"]); ／／ 点A の位置に関数の式を書く． Setcolor([0,0,1]); Arrowdata([C,D]); ／／ Arrowdata([C,D],["color- [0,0,1]"]); Setcolor([0,0,0]); ／／ 点C から 点D に向かう矢印を青色で描く．
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分数関数のグラフ（１） #ref error ：ご指定のファイルが見つかりません。ファイル名を確認して、再度指定してください。 (title=) fractionalfn.zip Setax([7,"se"]); ／／ 原点Oの表示位置を"se"に設定 Plotdata("1","4/x","x",["Num=300","Dis=10","Exc=[0]"]); ／／ 双曲線y=4/xを描く ／／ オプションは ／／ Num=300 曲線（折れ線）の分割数 ／／ Dis=10 値が指定数値以上ジャンプする場合は不連続点とみなす ／／ Exc=[0] リストで示された点(0)を除く ／／ Cindy画面で曲線上に点A,Bをとる Listplot("1",[ [A.x,0],A,[0,A.y] ],["do"]); Listplot("2",[ [B.x,0],B,[0,B.y] ],["do"]); ／／ 座標を示す点線（オプション"do"=dottedlline）を描く Htickmark([A.x,"n",text(A.x)]); Htickmark([B.x,text(B.x)]); ／／ Aのx座標の"n"=northにAのx座標を記入 ／／ 表示位置のデフォルトは"s"=south Vtickmark([A.y,"e",text(A.y)]); Vtickmark([B.y,text(B.y)]); ／／ y軸の表示位置のデフォルトは"w"=west ============================================= 分数関数のグラフ（２） #ref error ：ご指定のファイルが見つかりません。ファイル名を確認して、再度指定してください。 (title=) fractionalfn2.zip ／／ 関数y=-2/xを平行移動 Plotdata("1","-2/(x+2)+3","x",["Num=300","Dis=10","Exc=[-2]"]); Listplot("1",[ [A.x,0],A,[0,A.y] ],["do"]); Listplot("2",[ [B.x,0],B,[0,B.y] ],["do"]); Paramplot("1","[-2,t]","t=[-2,8]",["da"]); Paramplot("2","[t,3]","t=[-7,3]",["da"]); ／／ 漸近線x=-2,y=3を"da"=dashlineで描く
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Blogs on Pauline Horson #bf レパートリー 作曲家名（全角フルネーム）に置き換えてください [部分編集] 作曲家名（全角フルネーム）に置き換えてください 作品名（全角）に置き換えてください役名（全角）に置き換えてください Last Update 2011/01/30 06 23ページ先頭へ
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n行m列の行列は以下のように表します。 [[a11 a12 ...] [a21 a22] ...[... anm]] 例えば[[1 2] [3 4]]と入力しEXEをタップすると下図のように表示されます。 計算結果は自動的に保存されます。次に計算するまで保存されています。また、ある変数に行列を定義することが出来ます。例えばb=[[1.1 1.2] [1.3 1.4] [1.5 1.6]](3行2列の行列)と入力しEXEをタップすると bを行列として扱えるようになります。さらに計算結果の部分をタップすることにより、行列編集の画面が表示されます。ここでは計算結果の行列の各成分、定義した行列の各成分を表示することができます。また定義した関数の削除、計算結果の保存、新規行列の定義ができます。