先化简,再求值:χ²﹢4χ﹢4/χ﹢2÷﹙χ²﹢2χ﹚,其中χ=√2+1
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![先化简,再求值:χ²﹢4χ﹢4/χ﹢2÷﹙χ²﹢2χ﹚,其中χ=√2+1](/uploads/image/z/13401407-47-7.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%86%8D%E6%B1%82%E5%80%BC%EF%BC%9A%CF%87%26%23178%3B%EF%B9%A24%CF%87%EF%B9%A24%2F%CF%87%EF%B9%A22%C3%B7%EF%B9%99%CF%87%26%23178%3B%EF%B9%A22%CF%87%EF%B9%9A%2C%E5%85%B6%E4%B8%AD%CF%87%EF%BC%9D%E2%88%9A2%EF%BC%8B1)
先化简,再求值:χ²﹢4χ﹢4/χ﹢2÷﹙χ²﹢2χ﹚,其中χ=√2+1
先化简,再求值:χ²﹢4χ﹢4/χ﹢2÷﹙χ²﹢2χ﹚,其中χ=√2+1
先化简,再求值:χ²﹢4χ﹢4/χ﹢2÷﹙χ²﹢2χ﹚,其中χ=√2+1
(χ²﹢4χ﹢4)/(χ﹢2)÷﹙χ²﹢2χ﹚=(χ+2)²/(χ﹢2)÷χ﹙χ﹢2﹚
=(χ+2)÷χ﹙χ﹢2﹚
=1/x
=1/(√2+1)
=(√2-1)/(√2+1)(√2-1)
=(√2-1)/(2-1)
=√2-1