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江苏省镇江市在2001年中考数学试卷中,命了一道符合素质教育要求的好试题,它是第30题(8分题),原题如下:(1)a克糖水中有b克糖(a>b>0),则糖的质量与糖水质量的比为_;若再添加c克糖(c>0),则糖的质量与糖水质量的比为_。生活常识告诉我们:添加的糖完全溶解后,糖水会更甜,请根据所列式子及这个生活常识提炼出一个不等式:(2)如图,在直角三角形ABC中,∠B=90°,AB=a,BC=b(a>b),延长BA、BC,使AE=
Zhenjiang City, Jiangsu Province, in the 2001 mathematics test of the senior high school entrance examination, ordered a good test that meets the requirements of quality education. It is the 30th item (8 points). The original questions are as follows: (1) There are b grams of sugar in a sugarcane ( a>b>0), the ratio of sugar mass to sugar mass is _; if c sugar is added (c>0), the ratio of sugar mass to sugar mass is _. The common sense of life tells us that after the added sugar is completely dissolved, the sugar water will be sweeter. Please extract an inequality according to the listed formulas and this common sense of life: (2) As shown in the figure, in the right triangle ABC, ∠B=90°, AB=a, BC=b(a>b), Extend BA, BC, AE=