要绘制如题所述的图形,需要用到比例缩放,思路是先画出两两相切的10个等半径圆,然后补画上等边三角形,再通过比例缩放修改等边三角形的边长至指定值。具体如下:
绘制10个半径为10的圆,圆和圆之间两两相切,如图所示。
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![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/cc11728b4710b912e0705654c8fdfc03934522e2?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
绘制直线,通过捕捉切点,绘制圆的公切线,如图所示。
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![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/0bd162d9f2d3572c96aa3c768113632763d0c3d4?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
通过倒角命令,使三条直线延伸相交,如图所示。注意,要确保倒角距离1和倒角距离2的值均为0。
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![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/d788d43f8794a4c24cad478105f41bd5ac6e3989?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
单击“缩放”按钮,框选三角形和所有圆并设置基点,输入参数R,如图所示,按Enter键确认。
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![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/8644ebf81a4c510f749f42b06b59252dd52aa5c5?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
命令行提示“指定参照长度”,选取三角形的任意两个顶点,如图所示。
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![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/738b4710b912c8fcea425667f7039245d78821e2?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
命令行提示“指定新的长度”,输入长度值100,如图所示,按Enter键确认。
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![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/03087bf40ad162d977a6c2b61adfa9ec8b13cdd4?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
完成后的效果如下图所示。
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