柯西不等式的向量几何演示 (4)
2016-11-11 02:19
本 GeoGebra 范例通过向量的几何构造直观演示柯西不等式。利用向量、单位向量及夹角等对象，动态展示两向量内积的绝对值小于等于其模长乘积的数学关系。用户可交互观察夹角变化对不等式的影响，是理解代数不等式几何意义的优秀工具。
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<expression label="text3" exp=""\left| \fgcolor{ff0000}{\vec{u}} \right| \left| \fgcolor{0000ff}{\vec{v}} \right| = \frac{\fgcolor{ff0066}{" + (LaTeX[(v * u)]) + " }}{\cos\theta}= " + (LaTeX[uv]) + """ />
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<expression label="text4" exp=""註：座標沒有正常切換時 請拉動下面的滑桿。""/>
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