show the intersection between a plane and a surface

はじめる前に
新機能一覧
Maple ワークシートの作成
Mapleワークシートを共有
Maple ウィンドウのカスタマイズ
Maple システムのカスタマイズ
コネクティビティ
Mathematics
数学
物理
プログラミング
グラフィックス
Student パッケージ
- Precalculus
- 微積分
- 多変数解析
  - Interactive
  - 例題
  - 可視化
  - 計算機能
  - 概要
- ベクトル解析
- 線形代数
- 数値解析
- 概要
- Maple 学生向けポータル
- プロットオプション
- 色の指定
Science and Engineering
科学・エンジニアリング
アプリケーションと例題
リファレンス
システム
MapleSim
MapleSim ツールボックス
MapleSim ヘルプ
Tasks
Toolboxes
エラーメッセージガイド
マニュアル
数学アプリ

Student[MultivariateCalculus][CrossSection] - show the intersection between a plane and a surface

	Calling Sequence
	CrossSection(f(x,y), g(x,y,z)=K, x=a..b, y=c..d, opts) CrossSection(f(x,y,z), g(x,y,z)=K, x=a..b, y=c..d, z=e..f, opts)

Parameters

f(x, y)	-	algebraic expression
f(x, y, z)	-	algebraic equation or expression
g(x, y, z)	-	linear algebraic expression
K	-	constant, list, or range of constants
x, y, z	-	name; specify the independent variables
a, b, c, d, e, f	-	real constants; range of the function
opts	-	(optional) equation(s) of the form option=value where option is one of functionoptions, intersectionoptions, output, planeoptions, planes or showfunction; specify output options

Description

•

The CrossSection command returns a plot or animation of the intersection between the surface f and the plane g. The intersection of multiple parallel planes can be shown by making the variable K a range or a list of real numbers. If a range is used, a sequence of planes is generated within the range. The number of planes is determined by the optional argument planes. If a list is used, the planes are displayed in the order specified.

Curves of the form are assumed to be .

•	To return level curves, specify a variable name for g(x,y,z), for example, z.

•	Planes that are not intersecting or tangent to the surface f are not displayed.

•	The CrossSectionTutor routine offers equivalent capabilities to CrossSection in a tutor interface. See the Student[MultivariateCalculus][CrossSectionTutor] help page.

•	The opts argument can contain any of the following equations that set output options.

functionoptions = list

Specifies the plot options for plotting the surface f. For more information on plotting options, see plot3d/options.

intersectionoptions = list

Specifies the plot options for plotting the curves formed by the intersections of the planes and the surface. For more information on plotting options, see plot3d/options.

output = plot or animation

This option controls the return value of the function.

* output = plot specifies that a plot displays, which shows the expression and all the planes. The default is output = plot.

* output = animation specifies that an animation displays, which shows the expression and the chosen planes in succession.

planeoptions = list

Specifies the plot options for plotting the plane(s) g. For more information on plotting options, see plot3d/options.

planes = posint

Specifies the number of planes if the variable K is a range. The default is .

showfunction = true or false

Determines whether the function f is plotted. The default is true.

caption = anything

A caption for the plot.

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption , see plot/typesetting.