<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.579.0" app="classic" platform="d" id="b535cc10-c3a1-47ab-b649-7efbfd6da063" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/apps/xsd/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1680" height="961" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.14166666666666666" orientation="1" />
</panes>
<views>
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 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="2" visible="false" inframe="false" stylebar="true" location="1,3" size="352" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="1" visible="true" inframe="false" stylebar="true" location="3" size="238" window="237,291,600,400" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="4097" visible="false" inframe="true" stylebar="true" location="1" size="364" window="0,237,1289,550" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<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="true" inframe="false" stylebar="true" location="1" size="1422" window="100,100,600,400" />
</views>
<toolbar show="true" items="0 39 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="true" />
<dockBar show="true" east="true" />
</perspective>
</perspectives>
<labelingStyle val="0"/>
<font size="16"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="238" height="805"/>
<coordSystem xZero="165.0" yZero="464.00000000000006" scale="49.999999999999986" yscale="50.00000000000001"/>
<evSettings axes="true" grid="true" 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>
<spreadsheetView>
<prefCellSize height="26"/>
</spreadsheetView>
<algebraView>
<mode val="1"/>
</algebraView>
<kernel>
<uses3D val="true"/>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0" spreadsheet="0"/>
<coordStyle val="0"/>
</kernel>
<tableview min="-2.0" max="2.0" step="1.0"/>
<scripting blocked="false" disabled="false"/>
<euclidianView3D>
<coordSystem xZero="-0.12692975565401565" yZero="0.15397200905003172" zZero="-1.2941350727030456" scale="58.54794624527248" xAngle="20.0" zAngle="-1171.4573696699738"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" gridType="3"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="2" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<plate show="false"/>
<bgColor r="0" g="0" b="0"/>
<clipping use="true" show="false" size="1"/>
<projection type="0"/>
</euclidianView3D>
<construction title="穿越球" author="" date="">
<element type="numeric" label="t">
<value val="5.5"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-5.5" max="5.5" absoluteScreenLocation="true" width="200.0" x="24.0" y="149.0" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation speed="2" type="0" playing="true"/>
</element>
<command name="Sequence">
<input a0="x + (0 * z) = i" a1="i" a2="-3" a3="3" a4="0.4"/>
<output a0="l1"/>
</command>
<element type="list" label="l1">
<show object="false" label="false" ev="4"/>
<objColor r="160" g="160" b="160" alpha="0.5299999713897705"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="0" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Polygon[(i, 3, 3), (i, 3, -3), (i, -3, -3), (i, -3, 3)]" a1="i" a2="-3" a3="3" a4="0.4"/>
<output a0="l2"/>
</command>
<element type="list" label="l2">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="255" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="1" type="10" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<expression label="eq1" exp="(x - t)^(2) + y^(2) + z^(2) = 4" type="quadric" />
<element type="quadric" label="eq1">
<show object="false" label="false" ev="4"/>
<objColor r="255" g="0" b="51" alpha="0.6499999761581421"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="0.0" x1="0.0" y1="1.0" z1="0.0" x2="0.0" y2="0.0" z2="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1.0" A3="26.25" A4="0.0" A5="0.0" A6="0.0" A7="-5.5" A8="0.0" A9="0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Sequence">
<input a0="IntersectPath[Element[l1, i], eq1]" a1="i" a2="1" a3="Length[l1]"/>
<output a0="l4"/>
</command>
<element type="list" label="l4">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="51" b="102" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="1" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Surface">
<input a0="(2 * cos(ϕ)) + t" a1="((2 * sin(ϕ)) * cos(θ))" a2="((2 * sin(ϕ)) * sin(θ))" a3="θ" a4="0" a5="(2 * π)" a6="ϕ" a7="0" a8="If[t > 5, π, acos((3 - t) / 2)]"/>
<output a0="a"/>
</command>
<element type="surfacecartesian3d" label="a">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="255" b="255" alpha="1.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="1" type="20" typeHidden="1"/>
</element>
<command name="Surface">
<input a0="(2 * cos(π - ϕ)) + t" a1="((2 * sin(ϕ)) * cos(θ))" a2="((2 * sin(ϕ)) * sin(θ))" a3="θ" a4="0" a5="(2 * π)" a6="ϕ" a7="0" a8="If[t < -5, π, π - acos(((-t) - 3) / 2)]"/>
<output a0="c"/>
</command>
<element type="surfacecartesian3d" label="c">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="255" b="255" alpha="0.75"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="1" type="10" typeHidden="1"/>
</element>
</construction>
</geogebra>
