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第173章 第一次政治会议10(1 / 2)

加入书签 | 推荐本书 | 问题反馈 |

很快朱晓燕就来了,

女孩子人进来了很害羞很紧张,毕竟所有人都看着她呢,

刘耀明开口说到“朱晓燕”

“在的区长”

“我们这边开会讨论的说是要建立我们的财政部的”

“教育部长孙磊给我们推荐了你”

“他说你在数学上的天赋非常好”

“还很努力的”

“你目前都学习了那些数学方面的知识?”

“区长目前我学习了的有从你编写的小学到高中完的所有数学方面的知识”

“这么多?”

“你都会了么?”

“你都自己学会的么?”

“是的区长”

天才,真的是天才,

目前的整个自治区的人都只是学到初中的数学知识,

而且这些还只是少部分的,这朱晓燕已经超越了其他人了这种情况下都学完了高中知识了,

下一步就是学习大学知识了,

“我考考你”

“求函数f(x) = 3x^2 - 4x + 2在区间[-1, 2]上的最大值和最小值”

“这道题我需要你的解答过程”

“我需要你详细的解答一下这道题这样我才能够掌握你的数学方面知识水平”

“是区长”

“首先求导数f'(x) = 6x - 4

“然后找出导数等于0的点,即驻点f'(x) = 0 => x = 2/3”

“再检查端点和驻点处的函数值

“ - f(-1) = 3(-1)^2 - 4(-1) + 2 = 9”

“- f(2/3) = 3(2/3)^2 - 4(2/3) + 2 = 2/3”

“- f(2) = 3(2)^2 - 4(2) + 2 = 6”

“最后比较得到最大值和最小值”

“最大值:f(-1) = 9”

“最小值:f(2/3) = 2/3”

“所以区长这道数学题的最大值为9,最小值为2/3”

“很好你的这道题的解答思路很到位”

“但是我们接下来要让你干的事情很重大的所以我还是要考考你的”

“已知圆C的方程为x^2 + y^2 = 4,直线l的方程为3x + 4y - 12 = 0,求圆C关于直线l的对称圆的方程”

“你在解答一下这道题的答案”

“是区长”

“第一找出圆C的圆心O”

“第二利用对称点公式找出O关于直线l的对称点O”

“第三设O'为(x0, y0),由对称性质可得”

“第四 (y0 - 0) / (x0 - 0) = 4/3”

“第五 3 * (x0 + 0) / 2 + 4 * (y0 + 0) / 2 - 12 = 0”

“由此解得x0 = 24/5, y0 = 16/5”

“第六对称圆的半径r不变,为2”

“第七利用对称圆圆心O'(x0, y0)和半径r写出对称圆的方程(x - 24/5)^2 + (y - 16/5)^2 = 4”

“所以区长我解答出对称圆的方程为(x - 24/5)^2 + (y - 16/5)^2 = 4”

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