总述:本次共解1题。其中
☆不等式1题
〖 1/1不等式〗
作业:求不等式 -1 <= sinx <= 1 的解集.
题型:不等式
解:
该不等式可以化为2个不等式:
-1 <= sin x (1)
sin x <= 1 (2)
由不等式(1)得:
x ≤ -14137167/1000000 或 -14137167/1000000 ≤ x ≤ -3926991/500000 或 -3926991/500000 ≤ x ≤ -3926991/500000 或 -3926991/500000 ≤ x ≤ -1570797/1000000 或 -1570797/1000000 ≤ x ≤ -1570797/1000000 或 -1570797/1000000 ≤ x ≤ 4712389/1000000 或 4712389/1000000 ≤ x ≤ 4712389/1000000 或 4712389/1000000 ≤ x ≤ 5497787/500000 或 5497787/500000 ≤ x ≤ 5497787/500000 或 5497787/500000 ≤ x ≤ 17278759/1000000 或 x ≥ 17278759/1000000
由不等式(2)得:
x ≤ -431969/25000 或 -431969/25000 ≤ x ≤ -439823/40000 或 -439823/40000 ≤ x ≤ -439823/40000 或 -439823/40000 ≤ x ≤ -4712389/1000000 或 -4712389/1000000 ≤ x ≤ -4712389/1000000 或 -4712389/1000000 ≤ x ≤ 1570797/1000000 或 1570797/1000000 ≤ x ≤ 1570797/1000000 或 1570797/1000000 ≤ x ≤ 3926991/500000 或 3926991/500000 ≤ x ≤ 3926991/500000 或 3926991/500000 ≤ x ≤ 7068583/500000 或 x ≥ 7068583/500000
由不等式(1)和(2)得
x ≤ -431969/25000 或 -431969/25000 ≤ x ≤ -14137167/1000000 或 -14137167/1000000 ≤ x ≤ -439823/40000 或 -439823/40000 ≤ x ≤ -439823/40000 或 -439823/40000 ≤ x ≤ -3926991/500000 或 -3926991/500000 ≤ x ≤ -3926991/500000 或 -3926991/500000 ≤ x ≤ -4712389/1000000 或 -4712389/1000000 ≤ x ≤ -4712389/1000000 或 -4712389/1000000 ≤ x ≤ -1570797/1000000 或 -1570797/1000000 ≤ x ≤ -1570797/1000000 或 -1570797/1000000 ≤ x ≤ 1570797/1000000 或 1570797/1000000 ≤ x ≤ 1570797/1000000 或 1570797/1000000 ≤ x ≤ 4712389/1000000 或 4712389/1000000 ≤ x ≤ 4712389/1000000 或 4712389/1000000 ≤ x ≤ 3926991/500000 或 3926991/500000 ≤ x ≤ 3926991/500000 或 3926991/500000 ≤ x ≤ 5497787/500000 或 5497787/500000 ≤ x ≤ 5497787/500000 或 5497787/500000 ≤ x ≤ 7068583/500000 或 7068583/500000 ≤ x ≤ 17278759/1000000 或 x ≥ 17278759/1000000 (3)
最终答案为:
x ≤ -431969/25000 或 -431969/25000 ≤ x ≤ -14137167/1000000 或 -14137167/1000000 ≤ x ≤ -439823/40000 或 -439823/40000 ≤ x ≤ -439823/40000 或 -439823/40000 ≤ x ≤ -3926991/500000 或 -3926991/500000 ≤ x ≤ -3926991/500000 或 -3926991/500000 ≤ x ≤ -4712389/1000000 或 -4712389/1000000 ≤ x ≤ -4712389/1000000 或 -4712389/1000000 ≤ x ≤ -1570797/1000000 或 -1570797/1000000 ≤ x ≤ -1570797/1000000 或 -1570797/1000000 ≤ x ≤ 1570797/1000000 或 1570797/1000000 ≤ x ≤ 1570797/1000000 或 1570797/1000000 ≤ x ≤ 4712389/1000000 或 4712389/1000000 ≤ x ≤ 4712389/1000000 或 4712389/1000000 ≤ x ≤ 3926991/500000 或 3926991/500000 ≤ x ≤ 3926991/500000 或 3926991/500000 ≤ x ≤ 5497787/500000 或 5497787/500000 ≤ x ≤ 5497787/500000 或 5497787/500000 ≤ x ≤ 7068583/500000 或 7068583/500000 ≤ x ≤ 17278759/1000000 或 x ≥ 17278759/1000000 *注:弧度制你的问题在这里没有得到解决?请到 热门难题 里面看看吧!