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## 1. 数值计算 numpy
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### (1)对于一个存在在数组,如何添加一个用0填充的边界?
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例如对一个二维矩阵
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```
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10, 34, 54, 23
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31, 87, 53, 68
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98, 49, 25, 11
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84, 32, 67, 88
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```
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变换成
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```
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0, 0, 0, 0, 0, 0
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0, 10, 34, 54, 23, 0
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0, 31, 87, 53, 68, 0
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0, 98, 49, 25, 11, 0
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0, 84, 32, 67, 88, 0
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0, 0, 0, 0, 0, 0
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```
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### (2) 创建一个 5x5的矩阵,并设置值1,2,3,4落在其对角线下方位置
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### (3) 创建一个8x8 的矩阵,并且设置成国际象棋棋盘样式(黑可以用0, 白可以用1)
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### (4)求解线性方程组
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给定一个方程组,如何求出其的方程解。有多种方法,分析各种方法的优缺点(最简单的方式是消元方)。
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例如
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```
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3x + 4y + 2z = 10
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5x + 3y + 4z = 14
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8x + 2y + 7z = 20
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```
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编程写出求解的程序
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### (5) 翻转一个数组(第一个元素变成最后一个)
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### (6) 产生一个十乘十随机数组,并且找出最大和最小值
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## Matplotlib
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## (1) 画出一个二次函数,同时画出梯形法求积分时的各个梯形
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例如:
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## (2) 绘制函数 $f(x) = sin^2(x - 2) e^{-x^2}$
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需要画出标题,x,y轴。x的取值范围是[0, 2]
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## Reference
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* [100 numpy exercises](https://github.com/rougier/numpy-100)
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