基础知识
隐函数
:一个方程里边 使x有1个y与之对应
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函数的有界性
f(X) 的值大于-M并小于M
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单调性
可以用定义发判断单调性
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定义法
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奇函数
奇函数关于原点对称,偶关于x对称
定义域要关于原点对称
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任何一个函数可以写成奇函数+偶函数的形式
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复合函数的奇偶
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函数和它导数的奇偶性相反
当下限为a时,偶函数的积分未必为奇,要考虑常数C
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奇函数
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周期性
第四条,只有在0到T的区间内,积分为0, 它的积分函数也以T为周期
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不定积分的运算法则
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直接求y不好算,可以用观察法,画出2个图像的交点
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例1 除以x 要x不等于0
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对勾函数
y=ax+b/x 的值为根号下2ab -根号2ab
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例2 easy
无界 是正无穷
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例3 选D 做错
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B选项 关于y轴对称
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C
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例4 easy
奇函数 值为4
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例5 第2问
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一个非奇非偶函数,可以凑成,偶函数+奇函数
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不是1/2 而是1
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例6 easy
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