Band 2 Grafiken bis 2.4

Band2/Grafiken/B2.1.typ

@@ -0,0 +1,72 @@
+
+#import "@preview/cetz:0.4.2"
+#import "@preview/cetz-plot:0.1.3": plot
+
+#cetz.canvas(length: 1.25cm,{
+    import cetz.draw: *
+  plot.plot(
+    //definitionen
+    name: "plot",
+    size: (6, 6),
+    x-tick-step: none,
+    y-tick-step: none,
+    axis-style: "school-book",
+    x-label: $x$,
+    y-label: $y$,
+    x-ticks: ((0.5, $1/2$),(1.25, $x$),),
+    y-ticks: ((0.25, $1/4$),(1.5625, $x^2$),),
+    {
+    //berechnungen und plot
+    let f = x => calc.pow(x, 2)
+    let x0 = 0.5
+    let y0 = f(x0)
+    let x1 = 1.25
+    let y1 = f(x1)
+    // Berechnung der Steigung m = (y1 - y0) / (x1 - x0)
+    let m = (y1 - y0) / (x1 - x0)
+    
+      
+    // Sekantenfunktion: s(x) = m * (x - x0) + y0
+    let s = x => m * (x - x0) + y0
+
+    let x1_1 = x1 + 0.1
+    let x0_1 = x0 - 0.2
+    let y0_1 = y0 + 0.2
+    let x2 = ((x1 - x0)/2) + x0
+    let y3 = ((y1 - y0)/2) +y0
+    
+    plot.add(x => calc.pow(x, 2), domain: (-1.4, 1.8))
+    //Sekante
+    plot.add(s, domain: (0.3, 1.7), style: (stroke: red))
+    plot.add-anchor("pt1", (-1.4,y1))
+    plot.add-anchor("P", (x1_1,y1))
+    plot.add-anchor("P0", (x0_1,y0_1))
+
+    plot.add-anchor("F1", (x2,0.14))
+    plot.add-anchor("F2", (x1+0.1,y3))
+
+    
+    plot.add(((x0, 0), (x0, y0)), style: (stroke: (dash: "dashed", paint: gray, thickness: 0.75pt)))
+    plot.add(((x1, 0), (x1, y1)), style: (stroke: (dash: "dashed", paint: gray, thickness: 0.75pt)))
+    plot.add(((0, y1), (x1, y1)), style: (stroke: (dash: "dashed", paint: gray, thickness: 0.75pt)))
+    plot.add(((0, y0), (x0, y0)), style: (stroke: (dash: "dashed", paint: gray, thickness: 0.75pt)))
+
+    plot.add(((x0, y0), (x1, y0)), style: (stroke: ( paint: gray.darken(80%), thickness: 0.5pt)))
+    plot.add(((x1, y0), (x1, y1)), style: (stroke: ( paint: gray.darken(80%), thickness: 0.5pt)))
+
+    
+    plot.add(((x0, y0),), mark: "o")
+    plot.add(((x1, y1),), mark: "o")
+
+    
+    
+    }
+  )
+  //Der Plot muss einen Namen haben
+    content("plot.pt1", text(0.85em)[$y=x^2$], anchor: "east", name: "pt")
+    content("plot.P", text(0.75em)[$P$], anchor: "west", name: "p")
+    content("plot.P0", text(0.75em)[$P_0$], anchor: "west", name: "p0")
+    content("plot.F1", text(0.75em)[$x- 1/2$], anchor: "center", name: "f1")
+    content("plot.F2", text(0.75em)[$x^2- 1/4$], anchor: "west", name: "f2")
+})
+