本文利用初等方法讨论了与椭圆有关的若干几何最值问题 ,得到了十个有趣的结论 ,为方便读者选用 ,现用定理形式叙述如下 .定理 1　椭圆ｂ2 ｘ2 +ａ2 ｙ2 =ａ2 ｂ2 (ａｂ 0 )的内接三角形的面积的最大值为3 34ａｂ .证明　设该椭圆内接三角形ＡＢＣ三顶点坐标按逆时针方向依次 In this paper, we use elementary methods to discuss a number of geometrical problems associated with ellipses and obtain ten interesting conclusions. For the convenience of readers, the current theorems form is described as follows. Theorem 1 Oval b2 x2 + a2 y2 = a2 b2 (ab 0 The maximum value of the intrinsic triangle’s area is 3 34ab. Prove that the elliptical intrinsic triangle ABC has three vertex coordinates in the counterclockwise direction