Aufagben mit aufgenommen

2026-04-01 19:58:19 +02:00
parent 6f5f2f0992
commit b44b507b84
2 changed files with 131 additions and 32 deletions
@@ -210,6 +210,61 @@
    })

    content("plot.F", text(0.85em)[$y=x^2$], anchor: "west", name: "pt")
-    
-    
+      
 })
+
+#let b2_5 = cetz.canvas({
+  
+    import cetz.draw: *
+    set-style(
+    axes: (
+      // Basisstil beibehalten
+      stroke: (thickness: 0.5pt),
+      // x-Achse: stealth-Pfeil am Ende
+      x: (mark: (end: "stealth", fill: black)),
+      // y-Achse: stealth-Pfeil am Ende
+      y: (mark: (end: "stealth", fill: black)),
+    ),
+  )
+  plot.plot(
+    name: "plot",
+    size: (5, 8),
+    x-tick-step: none,
+    y-tick-step: none,
+    axis-style: "school-book",
+    x-label: $x$,
+    y-label: $y$,
+    x-ticks: ((0.5, $1/2$),),
+    y-ticks: ((1, $1$),(2, $2$)),
+    
+ //definitionen
+    {
+      let f = x => if x != 0.5 { (calc.pow(x, 2) - 0.25) / (x - 0.5) } else { none }
+      let x0 = 0.5
+      let y0 = 1
+      let y1 = 2
+      let domain_end_x = 1.75
+      let domain_end_y = f(1.75)
+    plot.add(f, domain: (-0.6, domain_end_x), style: (stroke: blue))
+
+    plot.add(((x0, 0), (x0, y0)), style: (stroke: (dash: "dashed", paint: gray, thickness: 0.75pt)))
+
+    plot.add(((x0, y0), (x0, 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(((0, y1), (x0, y1)), style: (stroke: (dash: "dashed", paint: gray, thickness: 0.75pt)))
+    
+    plot.add(((x0, y0),), mark: "o")
+    plot.add(((x0, y1),), mark: "o")
+  
+    plot.add-anchor("F1", (domain_end_x,domain_end_y))
+    
+    }
+  )
+    content("plot.F1",padding: (left: 2mm, bottom: 0mm), text(1em)[$ y = cases(
+      (x^2 - 1/4)/(x- 1/2) &text("für")& x eq.not 1/2,
+      2  &text("für")& x= 1/2,
+) $], anchor: "mid-west", name: "pt")
+    
+})