Review of Cartesian Coordinate System: Points and Axes
2019-06-03 01:43
This example reviews the positional relationships between points and axes in the Cartesian coordinate system. It demonstrates coordinate characteristics on the x-axis, y-axis, and in quadrants, helping learners understand coordinate sign rules and distance calculations to axes, consolidating coordinate geometry basics.
In collections
绘本1-平面直角坐标系复习
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.541.0" app="classic" platform="w" id="21D462AD-C311-48F2-A076-E049515DE363" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1920" height="945" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0" orientation="1" />
</panes>
<views>
<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 51 | 551 550 11 , 20 22 21 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="false" inframe="false" stylebar="false" location="1,1,1" size="500" window="100,100,600,400" />
<view id="4" toolbar="0 || 2020 , 2021 , 2022 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="300" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 | 1009 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="4097" visible="false" inframe="false" stylebar="true" location="1,1" size="304" window="100,100,700,550" />
<view id="1" visible="true" inframe="false" stylebar="false" location="1" size="1912" window="100,100,600,400" />
<view id="2" visible="true" inframe="false" stylebar="false" location="3" size="0" window="100,100,600,400" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="300" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="300" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="false" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="128" visible="false" inframe="false" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="false" stylebar="true" location="1" size="900" window="50,50,500,500" />
<view id="43" visible="false" inframe="false" stylebar="false" location="1" size="450" window="50,50,500,500" />
</views>
<toolbar show="true" items="0 73 62 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49 50 , 71 14 68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="true" cmd="true" top="algebra" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="0"/>
<font size="16"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="1912" height="892"/>
<coordSystem xZero="910.1847107438031" yZero="444.48657024793295" scale="53.750000000000014" yscale="53.7500000000001"/>
<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="3"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<algebraView>
<mode val="3"/>
</algebraView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="3" spreadsheet="0"/>
<coordStyle val="0"/>
</kernel>
<tableview min="-2" max="2" step="1"/>
<scripting blocked="false" disabled="false"/>
<construction title="平面直角坐标系复习-1.2 点与坐标轴" author="" date="">
<expression label="A" exp="(1, 3)" type="point"/>
<element type="point" label="A">
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="-44" y="-17"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="1" y="3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<expression label="B" exp="(-2, 3)" type="point"/>
<element type="point" label="B">
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="-80" y="-9"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="-2" y="3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<expression label="C" exp="(-2, -3)" type="point"/>
<element type="point" label="C">
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="4" y="47"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="-2" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="numeric" label="t">
<value val="1"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-5" max="5" absoluteScreenLocation="true" width="200" x="134" y="398" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<expression label="D" exp="A + (t, 0)" type="point" />
<element type="point" label="D">
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="28" y="54"/>
<labelMode val="1"/>
<coords x="2" y="3" z="1"/>
<pointSize val="4"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="B" a1="D"/>
<output a0="LAB"/>
</command>
<element type="line" label="LAB">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0" y="4" z="-12"/>
<lineStyle thickness="10" type="0" typeHidden="1" opacity="178"/>
<eqnStyle style="implicit"/>
</element>
<element type="numeric" label="s">
<value val="-4"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-8" max="8" absoluteScreenLocation="true" width="200" x="356" y="396" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<expression label="E" exp="B + (0, s)" type="point" />
<element type="point" label="E">
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="4" y="28"/>
<labelMode val="1"/>
<coords x="-2" y="-1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="B" a1="E"/>
<output a0="LBC"/>
</command>
<element type="line" label="LBC">
<show object="true" label="false"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelOffset x="0" y="76"/>
<labelMode val="0"/>
<coords x="4" y="0" z="8"/>
<lineStyle thickness="10" type="0" typeHidden="1" opacity="178"/>
<eqnStyle style="implicit"/>
</element>
<expression label="text1" exp=""1. 如图,点A" + (LaTeX[A]) + "和点B" + (LaTeX[B]) + ",直线AB有什么特点, 如何表示?"" />
<element type="text" label="text1">
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<absoluteScreenLocation x="48" y="52"/>
</element>
<expression label="text3" exp=""2. 如图,点B" + (LaTeX[B]) + "和点" + (LaTeX[C]) + ",直线BC有什么特点,如何表示?"" />
<element type="text" label="text3">
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<absoluteScreenLocation x="47" y="135"/>
</element>
<expression label="text4" exp=""点E" + (LaTeX[E]) + "在直线BC上,点E又有什么特点?"" />
<element type="text" label="text4">
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<absoluteScreenLocation x="70" y="178"/>
</element>
<expression label="text2" exp=""点D" + (LaTeX[D]) + "在直线AB上,点D又有什么特点?"" />
<element type="text" label="text2">
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<absoluteScreenLocation x="64" y="90"/>
</element>
</construction>
</geogebra>