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在函数运算中,“求值域”一直是一种很常见的题型,它的答题形式虽然多种多样,但解题类型相对固定,一般会存在分式函数、换元、复合函数等多种情况,每种情况的解法大多一种,很少能出现“一题多解”的现象.然而,如标题所示的这道题目显然是个例外,它具有分式函数的结构,又结合有两种不同的三角函数,因而除其特有的解法外,此题会显得更加灵活,更能彰显数学的魅力之所在.原题求函数y=1-sinx/2-cosx的值域.
In the function operation, “evaluation domain ” has been a very common question type, although its answer form is varied, but the problem-solving type is relatively fixed, there will usually be fractional function, swap, complex function And many other situations, most of the solutions in each case, rarely appear “a problem more solution ” phenomenon.However, as the title shows the problem is obviously an exception, it has the structure of fractional function , Combined with two different trigonometric functions, so in addition to its unique solution, the question will become more flexible, more able to highlight the charm of mathematics where the original function seeking y = 1-sinx / 2-cosx value area.