{"id":110,"date":"2026-08-06T00:30:33","date_gmt":"2026-08-05T16:30:33","guid":{"rendered":"https:\/\/ltrainyard.icu\/?p=110"},"modified":"2026-08-06T00:45:43","modified_gmt":"2026-08-05T16:45:43","slug":"day-22-numpy%ef%bc%9andarray-%e4%b8%8e%e5%90%91%e9%87%8f%e5%8c%96%e8%bf%90%e7%ae%97","status":"publish","type":"post","link":"https:\/\/ltrainyard.icu\/index.php\/2026\/08\/06\/day-22-numpy%ef%bc%9andarray-%e4%b8%8e%e5%90%91%e9%87%8f%e5%8c%96%e8%bf%90%e7%ae%97\/","title":{"rendered":"| Day 22 | NumPy\uff1andarray \u4e0e\u5411\u91cf\u5316\u8fd0\u7b97 |"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">1 ndarray \u2014\u2014 \u4e3a\u4ec0\u4e48\u6570\u7ec4\u6bd4\u5217\u8868\u5feb\u51e0\u5341\u500d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u662f\u4ec0\u4e48\uff1f\u4e3a\u4ec0\u4e48\u5b66\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>ndarray<\/strong>\uff08N-dimensional array\uff0cN \u7ef4\u6570\u7ec4\uff09\u662f NumPy \u7684\u6838\u5fc3\u6570\u636e\u7c7b\u578b\uff0c\u53ef\u4ee5\u7406\u89e3\u6210\u300c\u88c5\u4e86\u52a0\u901f\u5f15\u64ce\u7684\u8d85\u7ea7\u5217\u8868\u300d\u3002\u4f60\u5e73\u65f6\u7528 <code>list<\/code> \u5b58\u6570\u636e\u3001\u5199\u5faa\u73af\u5904\u7406\uff0c\u6570\u636e\u91cf\u5927\u4e86\u5c31\u6162\uff1bndarray \u628a\u6240\u6709\u5143\u7d20<strong>\u8fde\u7eed\u5b58\u653e\u5728\u5185\u5b58\u91cc<\/strong>\uff0c\u4e00\u6b21\u5bf9\u6574\u4e2a\u6570\u7ec4\u505a\u8fd0\u7b97\uff0c\u901f\u5ea6\u80fd\u5feb\u51e0\u5341\u4e0a\u767e\u500d\u3002Pandas \u7684\u5e95\u5c42\u6570\u636e\u4e5f\u662f ndarray\uff0c\u5b66\u4e0d\u4f1a\u5b83\uff0c\u540e\u9762\u5904\u5904\u53d7\u963b\u3002\u4eca\u5929\u5f00\u59cb\u8fdb\u5165<strong>\u6570\u636e\u5206\u6790<\/strong>\u9636\u6bb5\uff0cNumPy \u662f Pandas\u3001Matplotlib \u7b49\u6240\u6709\u6570\u636e\u5206\u6790\u5e93\u7684\u5730\u57fa\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5e95\u5c42\u539f\u7406<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5217\u8868 <code>[1, 2, 3, 4]<\/code> \u91cc\u6bcf\u4e2a\u5143\u7d20\u662f<strong>\u72ec\u7acb\u7684 Python \u5bf9\u8c61<\/strong>\uff0c\u5206\u6563\u5728\u5185\u5b58\u5404\u5904\uff0c\u6bcf\u6b21\u8bbf\u95ee\u90fd\u8981\u8d70\u4e00\u5c42\u300c\u5bf9\u8c61\u5c01\u88c5\u300d\uff1bndarray \u628a\u5143\u7d20<strong>\u6309\u56fa\u5b9a\u5927\u5c0f\u8fde\u7eed\u6392\u5217<\/strong>\u5728\u4e00\u5757\u5185\u5b58\u91cc\uff08\u8fd9\u53eb\u8fde\u7eed\u5185\u5b58\u5e03\u5c40\uff09\uff0cCPU \u53ef\u4ee5\u6279\u91cf\u642c\u8fd0\u3001\u6279\u91cf\u8ba1\u7b97\u3002\u540c\u65f6 ndarray \u7684<strong>\u6240\u6709\u5143\u7d20\u5fc5\u987b\u662f\u540c\u4e00\u79cd\u7c7b\u578b<\/strong>\uff08\u7531 <code>dtype<\/code> \u51b3\u5b9a\uff09\uff0c\u7c7b\u578b\u7edf\u4e00\u624d\u80fd\u6279\u91cf\u8fd0\u7b97\u2014\u2014\u8fd9\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u6df7\u5165\u5c0f\u6570\u540e\u6574\u4e2a\u6570\u7ec4\u4f1a\u81ea\u52a8\u53d8\u6210\u6d6e\u70b9\u578b\u3002\u8fd0\u7b97\u65f6\u300c\u5bf9\u6574\u4e2a\u6570\u7ec4\u540c\u65f6\u7b97\u300d\u53eb<strong>\u5411\u91cf\u5316<\/strong>\uff1a\u5faa\u73af\u662f\u300c\u4e00\u4e2a\u4e2a\u6765\u300d\uff0c\u5411\u91cf\u5316\u662f\u300c\u4e00\u8d77\u4e0a\u300d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u751f\u6d3b\u7c7b\u6bd4<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5217\u8868\u50cf<strong>\u4e00\u4e2a\u841d\u535c\u4e00\u4e2a\u5751\u7684\u6563\u88c5\u4ed3\u5e93<\/strong>\uff1a\u6bcf\u4e2a\u841d\u535c\u88c5\u5728\u72ec\u7acb\u7684\u76d2\u5b50\u91cc\uff0c\u642c\u4e00\u8f66\u8d27\u8981\u6328\u4e2a\u76d2\u5b50\u62c6\u5f00\u68c0\u67e5\uff1bndarray \u50cf<strong>\u7801\u5f97\u6574\u6574\u9f50\u9f50\u7684\u96c6\u88c5\u7bb1\u8d27\u67dc<\/strong>\uff1a\u6240\u6709\u8d27\u7269\u89c4\u683c\u7edf\u4e00\u3001\u7d27\u6328\u7740\u7801\u653e\uff0c\u53c9\u8f66\u4e00\u6b21\u5c31\u80fd\u5904\u7406\u6574\u67dc\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6ce8\u610f\u4e8b\u9879\u603b\u7ed3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 <strong>\u521b\u5efa\u6570\u7ec4 + \u770b\u300c\u957f\u76f8\u300d\uff08\u5f62\u72b6\u3001\u7c7b\u578b\uff09<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\narr = np.array(&#91;1, 2, 3, 4])   # \u628a\u5217\u8868\u8f6c\u6210\u6570\u7ec4\nprint(arr)\nprint(type(arr))               # \u7c7b\u578b\u662f numpy.ndarray\nprint(arr.shape)               # \u5f62\u72b6\uff1a\u4e00\u7ef4\uff0c4 \u4e2a\u5143\u7d20\nprint(arr.dtype)               # \u5143\u7d20\u7c7b\u578b\uff1a64 \u4f4d\u6574\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;1 2 3 4]\n&lt;class 'numpy.ndarray'&gt;\n(4,)\nint64\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>np.array(\u5217\u8868)<\/code> \u4e00\u884c\u5b8c\u6210\u300c\u5217\u8868 \u2192 \u6570\u7ec4\u300d\uff1b<code>shape<\/code> \u662f\u5143\u7ec4\uff0c\u4e00\u7ef4\u6570\u7ec4\u5199\u6210 <code>(4,)<\/code>\uff08\u9017\u53f7\u4e0d\u80fd\u7701\uff09\uff1b<code>dtype<\/code> \u662f\u5143\u7d20\u7c7b\u578b\u3002<strong>\u6ce8\u610f\u6253\u5370\u6570\u7ec4\u65f6\u5143\u7d20\u4e4b\u95f4\u6ca1\u6709\u9017\u53f7<\/strong>\uff0c\u8fd9\u662f NumPy \u7684\u663e\u793a\u98ce\u683c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 <strong>\u7c7b\u578b\u81ea\u52a8\u7edf\u4e00 + \u6570\u7ec4\u4e58\u6cd5\u548c\u5217\u8868\u4e58\u6cd5\u7684\u533a\u522b<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mixed = np.array(&#91;1, 2.5, 3])      # \u6df7\u5165\u5c0f\u6570\nprint(mixed, mixed.dtype)          # \u6574\u4e2a\u6570\u7ec4\u81ea\u52a8\u53d8\u6d6e\u70b9\n\narr = np.array(&#91;1, 2, 3, 4, 5])\nprint(arr * 2)                     # \u6570\u7ec4\uff1a\u6bcf\u4e2a\u5143\u7d20\u4e58 2\nprint(&#91;n * 2 for n in &#91;1, 2, 3, 4, 5]])   # \u5217\u8868\uff1a\u5faa\u73af\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;1.  2.5 3. ] float64\n&#91; 2  4  6  8 10]\n&#91;2, 4, 6, 8, 10]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u7ec4\u91cc\u6df7\u5165 <code>2.5<\/code> \u540e\uff0c\u6574\u4e2a\u6570\u7ec4\u81ea\u52a8\u7edf\u4e00\u6210 <code>float64<\/code>\uff08\u6d6e\u70b9\uff09\uff1b<code>arr * 2<\/code> \u4e00\u6b21\u4e58\u5b8c\u6240\u6709\u5143\u7d20\uff0c\u800c\u5217\u8868 <code>* 2<\/code> \u662f\u300c\u590d\u5236\u6574\u4e2a\u5217\u8868\u300d\uff08\u4e0d\u662f\u4e58\u5143\u7d20\uff09\uff0c\u5fc5\u987b\u5199\u5217\u8868\u63a8\u5bfc\u5f0f\u2014\u2014<strong>\u6570\u7ec4\u7684\u8fd0\u7b97\u5199\u5728\u300c\u6574\u4f53\u300d\u5c42\u9762\uff0c\u5217\u8868\u7684\u8fd0\u7b97\u5199\u5728\u300c\u5143\u7d20\u300d\u5c42\u9762<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 <strong>\u6279\u91cf\u751f\u6210\u6570\u7ec4\u7684\u5e38\u7528\u51fd\u6570<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>print(np.zeros(3))            # \u5168 0\nprint(np.ones((2, 2)))        # \u5168 1\uff0c2 \u884c 2 \u5217\nprint(np.arange(5))           # 0 \u5230 4\nprint(np.arange(2, 10, 2))    # \u4ece 2 \u5f00\u59cb\uff0c\u6b65\u957f 2\uff0c\u5230 10 \u4e4b\u524d\nprint(np.linspace(0, 1, 5))   # 0 \u5230 1 \u4e4b\u95f4\u5e73\u5747\u5206 5 \u4e2a\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6613\u9519\u70b9<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9519\u8bef\u5199\u6cd5\uff1a<code>[1, 2, 3] * 3<\/code> \u671f\u5f85\u5f97\u5230 <code>[3, 6, 9]<\/code> \u2192 \u95ee\u9898\uff1a\u5217\u8868 <code>* 3<\/code> \u662f\u628a\u5217\u8868\u91cd\u590d 3 \u904d\uff0c\u5f97\u5230 <code>[1, 2, 3, 1, 2, 3, 1, 2, 3]<\/code> \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u5148\u8f6c\u6210\u6570\u7ec4 <code>np.array([1, 2, 3]) * 3<\/code>\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u5199 <code>import numpy<\/code> \u540e\u76f4\u63a5 <code>array([1, 2])<\/code> \u2192 \u95ee\u9898\uff1a\u6ca1\u5bfc\u5165\u522b\u540d\uff0c<code>array<\/code> \u672a\u5b9a\u4e49 \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u7edf\u4e00 <code>import numpy as np<\/code>\uff0c\u7528 <code>np.array<\/code>\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u671f\u5f85 <code>np.array([1, 2.5, 3])<\/code> \u4e2d 1 \u8fd8\u662f\u6574\u6570 \u2192 \u95ee\u9898\uff1a\u6570\u7ec4\u7c7b\u578b\u5fc5\u987b\u7edf\u4e00\uff0c\u81ea\u52a8\u63d0\u5347\u4e3a\u6d6e\u70b9 \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u60f3\u5f3a\u5236\u7c7b\u578b\u7528 <code>np.array([1, 2.5, 3], dtype=float)<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8bb0\u5fc6\u53e3\u8bc0<\/strong>\uff1a\u6570\u7ec4\u662f\u96c6\u88c5\u7bb1\uff0c\u5217\u8868\u662f\u6563\u88c5\u4ed3\uff1b\u7c7b\u578b\u8981\u7edf\u4e00\uff0c\u8fd0\u7b97\u6574\u6279\u4e0a\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2 shape \u4e0e dtype \u2014\u2014 \u6570\u7ec4\u7684\u300c\u8eab\u4efd\u8bc1\u300d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u662f\u4ec0\u4e48\uff1f\u4e3a\u4ec0\u4e48\u5b66\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><code>shape<\/code>\uff08\u5f62\u72b6\uff09<\/strong>\u63cf\u8ff0\u6570\u7ec4\u300c\u51e0\u884c\u51e0\u5217\u3001\u51e0\u7ef4\u300d\uff0c**<code>dtype<\/code>\uff08\u6570\u636e\u7c7b\u578b\uff09**\u63cf\u8ff0\u300c\u6bcf\u4e2a\u5143\u7d20\u662f\u4ec0\u4e48\u7c7b\u578b\u300d\u3002\u62ff\u5230\u4efb\u4f55\u6570\u7ec4\uff0c\u7b2c\u4e00\u4ef6\u4e8b\u5c31\u662f\u770b\u8fd9\u4e24\u4e2a\u5c5e\u6027\u2014\u2014\u5b83\u4eec\u662f\u6570\u7ec4\u7684\u300c\u8eab\u4efd\u8bc1\u300d\u300299% \u7684\u62a5\u9519\uff08\u5f62\u72b6\u4e0d\u5339\u914d\u3001\u7c7b\u578b\u4e0d\u5bf9\uff09\u90fd\u80fd\u9760\u5148\u770b\u8eab\u4efd\u8bc1\u5b9a\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5e95\u5c42\u539f\u7406<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>shape<\/code> \u8fd4\u56de\u4e00\u4e2a<strong>\u5143\u7ec4<\/strong>\uff0c\u5143\u7ec4\u7684\u957f\u5ea6\u5c31\u662f\u7ef4\u5ea6\u6570\uff08<code>ndim<\/code>\uff09\uff0c\u6bcf\u4e00\u7ef4\u7684\u6570\u5b57\u662f\u8be5\u7ef4\u7684\u5143\u7d20\u4e2a\u6570\uff1a<code>(4,)<\/code> \u662f\u4e00\u7ef4 4 \u4e2a\u5143\u7d20\uff0c<code>(2, 3)<\/code> \u662f 2 \u884c 3 \u5217\uff0c<code>(2, 3, 4)<\/code> \u662f\u300c2 \u4e2a 3\u00d74 \u7684\u5757\u300d\u3002<code>dtype<\/code> \u5e38\u89c1\u503c\uff1a<code>int64<\/code>\uff08\u6574\u6570\uff09\u3001<code>float64<\/code>\uff08\u6d6e\u70b9\uff09\u3001<code>bool<\/code>\uff08\u5e03\u5c14\uff09\u3002<code>reshape(\u884c, \u5217)<\/code> \u4e0d\u6539\u53d8\u6570\u636e\uff0c\u53ea<strong>\u91cd\u65b0\u6392\u5217\u5f62\u72b6<\/strong>\uff08\u5143\u7d20\u603b\u6570\u5fc5\u987b\u4e00\u81f4\uff09\uff1b<code>ndim<\/code> \u76f4\u63a5\u7ed9\u51fa\u7ef4\u5ea6\u6570\u3002\u6574\u4e2a\u4e8c\u7ef4\u6570\u7ec4\u5728\u5185\u5b58\u91cc\u4ecd\u662f\u300c\u6309\u884c\u6392\u6210\u4e00\u4e32\u300d\u7684\uff0c<code>reshape<\/code> \u53ea\u662f\u6362\u4e86\u4e2a\u300c\u600e\u4e48\u770b\u300d\u7684\u65b9\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u751f\u6d3b\u7c7b\u6bd4<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>shape<\/code> \u50cf<strong>\u76f8\u518c\u7684\u5c3a\u5bf8\u6807\u6ce8<\/strong>\uff1a\u300c2 \u9875 \u00d7 3 \u5f20\u300d\uff1b<code>dtype<\/code> \u50cf<strong>\u76f8\u7eb8\u7684\u6750\u8d28<\/strong>\uff1a\u300c\u666e\u901a\u7eb8 \/ \u5149\u9762 \/ \u9632\u6c34\u300d\u3002\u540c\u6837\u7684\u7167\u7247\uff0c\u4e0d\u540c\u6750\u8d28\u5b58\u653e\u548c\u5904\u7406\u65b9\u5f0f\u4e0d\u540c\u2014\u2014\u77e5\u9053\u5c3a\u5bf8\u548c\u6750\u8d28\uff0c\u624d\u6562\u5bf9\u76f8\u518c\u52a8\u624b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6ce8\u610f\u4e8b\u9879\u603b\u7ed3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 <strong>\u770b\u5f62\u72b6\u3001\u7ef4\u5ea6\u3001\u7c7b\u578b\uff0creshape \u91cd\u6392<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\na = np.array(&#91;&#91;1, 2, 3], &#91;4, 5, 6]])   # 2 \u884c 3 \u5217\nprint(\"shape:\", a.shape)               # \u5f62\u72b6\nprint(\"\u884c\u6570:\", a.shape&#91;0])             # \u7b2c\u4e00\u4e2a\u6570\u5b57\u662f\u884c\u6570\nprint(\"\u5217\u6570:\", a.shape&#91;1])             # \u7b2c\u4e8c\u4e2a\u6570\u5b57\u662f\u5217\u6570\nprint(\"dtype:\", a.dtype)               # \u5143\u7d20\u7c7b\u578b\nprint(\"\u7ef4\u5ea6:\", a.ndim)                 # \u51e0\u7ef4\u6570\u7ec4\n\nb = np.array(&#91;1, 2, 3], dtype=float)   # \u6307\u5b9a\u5143\u7d20\u7c7b\u578b\nprint(b, b.dtype)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>shape: (2, 3)\n\u884c\u6570: 2\n\u5217\u6570: 3\ndtype: int64\n\u7ef4\u5ea6: 2\n&#91;1. 2. 3.] float64\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">2 <strong>arange + reshape \u2014\u2014 \u4e00\u957f\u4e32\u6570\u636e\u6392\u6210\u8868\u683c<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>m = np.arange(1, 10).reshape(3, 3)   # 1~9 \u6392\u6210 3 \u884c 3 \u5217\nprint(m)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;&#91;1 2 3]\n &#91;4 5 6]\n &#91;7 8 9]]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>np.arange(1, 10)<\/code> \u751f\u6210 1 \u5230 9 \u5171 9 \u4e2a\u6570\u7684<strong>\u4e00\u7ef4\u6570\u7ec4<\/strong>\uff0c<code>.reshape(3, 3)<\/code> \u6309\u300c\u5148\u586b\u6ee1\u7b2c\u4e00\u884c\u3001\u518d\u7b2c\u4e8c\u884c\u300d\u7684\u987a\u5e8f\u91cd\u6392\u6210 3\u00d73\u2014\u2014<strong>\u5143\u7d20\u603b\u6570 9 = 3\u00d73 \u624d\u80fd\u91cd\u6392<\/strong>\uff0c\u5426\u5219\u62a5 <code>ValueError<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6613\u9519\u70b9<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9519\u8bef\u5199\u6cd5\uff1a<code>np.arange(10).reshape(3, 3)<\/code> \u2192 \u95ee\u9898\uff1a10 \u4e2a\u5143\u7d20\u6392\u4e0d\u8fdb 3\u00d73\uff08\u53ea\u80fd\u653e 9 \u4e2a\uff09\uff0c\u62a5 <code>ValueError<\/code> \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u4fdd\u8bc1\u5143\u7d20\u603b\u6570 = \u884c\u6570 \u00d7 \u5217\u6570\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u628a <code>shape<\/code> \u5f53\u51fd\u6570\u8c03\u7528\uff1a<code>arr.shape()<\/code> \u2192 \u95ee\u9898\uff1a<code>shape<\/code> \u662f\u5c5e\u6027\u4e0d\u662f\u65b9\u6cd5\uff0c\u62a5 <code>TypeError<\/code> \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u76f4\u63a5 <code>arr.shape<\/code>\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u4e8c\u7ef4\u6570\u7ec4 <code>arr.shape[1]<\/code> \u62a5 <code>IndexError<\/code> \u2192 \u95ee\u9898\uff1a\u4e00\u7ef4\u6570\u7ec4\u53ea\u6709\u4e00\u4e2a\u7ef4\u5ea6\uff0c<code>shape[1]<\/code> \u8d8a\u754c \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u5148 <code>print(arr.ndim, arr.shape)<\/code> \u786e\u8ba4\u662f\u51e0\u7ef4\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8bb0\u5fc6\u53e3\u8bc0<\/strong>\uff1ashape \u7ba1\u957f\u76f8\uff0cdtype \u7ba1\u6750\u8d28\uff1b\u5148\u770b\u8eab\u4efd\u8bc1\uff0c\u518d\u52a8\u624b\u5e72\u6d3b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3 \u7d22\u5f15\u4e0e\u5207\u7247 \u2014\u2014 \u6570\u7ec4\u7684\u300c\u53d6\u6570\u56db\u4ef6\u5957\u300d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u662f\u4ec0\u4e48\uff1f\u4e3a\u4ec0\u4e48\u5b66\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7d22\u5f15<\/strong>\uff08<code>arr[2]<\/code>\uff09\u53d6\u4e00\u4e2a\u5143\u7d20\uff0c<strong>\u5207\u7247<\/strong>\uff08<code>arr[2:6]<\/code>\uff09\u53d6\u4e00\u6bb5\uff0c\u4e8c\u7ef4\u6570\u7ec4\u7528 <strong><code>[\u884c, \u5217]<\/code><\/strong> \u9017\u53f7\u5206\u9694\uff0c\u5012\u5e8f\u7528 **<code>[::-1]<\/code>**\u3002\u53d6\u6570\u662f\u6570\u636e\u5206\u6790\u7b2c\u4e00\u9ad8\u9891\u52a8\u4f5c\uff1a\u53d6\u4e00\u5217\u6210\u7ee9\u3001\u53d6\u67d0\u51e0\u884c\u8bb0\u5f55\u3001\u5012\u5e8f\u6392\u540d\u2026\u2026\u5168\u90fd\u9760\u5b83\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5e95\u5c42\u539f\u7406<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u7ef4\u7d22\u5f15\u5207\u7247\u548c\u5217\u8868\u8bed\u6cd5\u4e00\u81f4\uff1a<code>[\u8d77:\u6b62:\u6b65\u957f]<\/code>\uff0c<strong>\u542b\u8d77\u4e0d\u542b\u6b62<\/strong>\uff08<code>arr[2:6]<\/code> \u53d6\u4e0b\u6807 2~5\uff09\u3002\u4e8c\u7ef4\u6570\u7ec4\u672c\u8d28\u662f\u300c\u6570\u7ec4\u7684\u6570\u7ec4\u300d\uff0c<code>m[\u884c, \u5217]<\/code> \u662f NumPy \u7279\u6709\u7684\u5199\u6cd5\u2014\u2014\u9017\u53f7\u5de6\u8fb9\u7ba1\u884c\u3001\u53f3\u8fb9\u7ba1\u5217\uff0c\u5192\u53f7\u8868\u793a\u300c\u6574\u884c\/\u6574\u5217\u300d\uff1a<code>m[0]<\/code> \u53d6\u7b2c 1 \u884c\uff0c<code>m[:, 1]<\/code> \u53d6\u7b2c 2 \u5217\uff0c<code>m[1, 2]<\/code> \u53d6\u7b2c 2 \u884c\u7b2c 3 \u5217\u3002<strong>\u5173\u952e\u533a\u522b\uff1aNumPy \u7684\u5207\u7247\u8fd4\u56de\u7684\u662f\u300c\u89c6\u56fe\u300d\uff08view\uff09<\/strong>\u2014\u2014\u5b83\u4e0d\u590d\u5236\u6570\u636e\uff0c\u53ea\u662f\u300c\u6362\u4e2a\u89d2\u5ea6\u770b\u540c\u4e00\u5757\u5185\u5b58\u300d\uff0c\u6240\u4ee5\u6539\u89c6\u56fe\u4f1a\u6539\u539f\u6570\u7ec4\uff1b<code>.copy()<\/code> \u624d\u4ea7\u751f\u72ec\u7acb\u526f\u672c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u751f\u6d3b\u7c7b\u6bd4<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5207\u7247\u50cf<strong>\u7ed9\u4f60\u4e00\u628a\u5c3a\u5b50\u53bb\u91cf\u8d27\u67b6<\/strong>\uff1a\u5c3a\u5b50\u6307\u5230\u54ea\u91cc\uff0c\u770b\u5230\u7684\u5c31\u662f\u54ea\u91cc\u7684\u8d27\u2014\u2014\u4f60\u6362\u628a\u5c3a\u5b50\uff08\u89c6\u56fe\uff09\u4e0d\u4f1a\u6539\u53d8\u8d27\u67b6\uff0c\u4f46\u5982\u679c\u4f60<strong>\u987a\u624b\u628a\u8d27\u6362\u4e86<\/strong>\uff08\u6539\u89c6\u56fe\u5143\u7d20\uff09\uff0c\u8d27\u67b6\u4e0a\u7684\u8d27\u4e5f\u5c31\u771f\u53d8\u4e86\u3002\u60f3\u8981\u300c\u62cd\u5f20\u7167\u7247\u518d\u6539\u300d\uff08\u72ec\u7acb\u526f\u672c\uff09\uff0c\u5c31\u8981 <code>.copy()<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6ce8\u610f\u4e8b\u9879\u603b\u7ed3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 <strong>\u4e00\u7ef4\u53d6\u6570\u56db\u4ef6\u5957<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>arr = np.arange(10)      # &#91;0 1 2 ... 9]\nprint(arr&#91;2])            # \u7b2c 3 \u4e2a\u5143\u7d20\uff08\u4e0b\u6807\u4ece 0 \u5f00\u59cb\uff09\nprint(arr&#91;2:6])          # \u4e0b\u6807 2 \u5230 5\nprint(arr&#91;:4])           # \u524d 4 \u4e2a\uff08\u4e0b\u6807 0~3\uff09\nprint(arr&#91;::-1])         # \u5012\u5e8f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2\n&#91;2 3 4 5]\n&#91;0 1 2 3]\n&#91;9 8 7 6 5 4 3 2 1 0]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>arr[2:6]<\/code> \u542b 2 \u4e0d\u542b 6\uff1b<code>arr[::-1]<\/code> \u6b65\u957f\u4e3a -1 \u4ece\u5c3e\u5f80\u5934\u53d6\uff0c\u4e00\u884c\u5b9e\u73b0\u5012\u5e8f\u2014\u2014**\u5217\u8868\u505a\u5012\u5e8f\u8981 <code>reversed<\/code> \u6216\u5207\u7247\uff0c\u6570\u7ec4\u76f4\u63a5 <code>[::-1]<\/code>**\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 <strong>\u4e8c\u7ef4\u6570\u7ec4 [\u884c, \u5217] \u53d6\u6570<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>m = np.arange(1, 10).reshape(3, 3)\nprint(\"\u7b2c 2 \u884c\u7b2c 3 \u5217:\", m&#91;1, 2])\nprint(\"\u7b2c 1 \u884c:\", m&#91;0])\nprint(\"\u7b2c 2 \u5217:\", m&#91;:, 1])      # \u5192\u53f7 = \"\u6574\u884c\/\u6574\u5217\"\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b2c 2 \u884c\u7b2c 3 \u5217: 6\n\u7b2c 1 \u884c: &#91;1 2 3]\n\u7b2c 2 \u5217: &#91;2 5 8]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>m[1, 2]<\/code> \u53d6\u7b2c 2 \u884c\u7b2c 3 \u5217\uff08\u90fd\u662f 0 \u8d77\uff09\uff1b<code>m[0]<\/code> \u53ea\u7ed9\u884c\u53f7\u65f6\u53d6\u6574\u884c\uff1b<code>m[:, 1]<\/code> \u9017\u53f7\u5de6\u8fb9\u5192\u53f7\u8868\u793a\u300c\u6240\u6709\u884c\u300d\u3001\u53f3\u8fb9 <code>1<\/code> \u8868\u793a\u7b2c 2 \u5217\u2014\u2014<strong>\u8fd9\u662f\u548c\u5217\u8868\u6700\u5927\u7684\u533a\u522b\uff1a\u4e8c\u7ef4\u6570\u7ec4\u53d6\u6570\u8981\u5199\u9017\u53f7<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 <strong>\u5207\u7247\u662f\u300c\u89c6\u56fe\u300d\u2014\u2014\u6539\u89c6\u56fe\u4f1a\u6539\u539f\u6570\u7ec4<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>arr = np.arange(10)\nview = arr&#91;2:6]       # \u5207\u7247\u5f97\u5230\u89c6\u56fe\nview&#91;0] = 999         # \u4fee\u6539\u89c6\u56fe\nprint(arr)            # \u539f\u6570\u7ec4\u88ab\u6539\u4e86\uff01\n\narr2 = np.arange(10)\ncopied = arr2&#91;2:6].copy()   # \u60f3\u8981\u72ec\u7acb\u526f\u672c\uff1a.copy()\ncopied&#91;0] = 999\nprint(arr2)           # \u539f\u6570\u7ec4\u4e0d\u53d7\u5f71\u54cd\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;  0   1 999   3   4   5   6   7   8   9]\n&#91;0 1 2 3 4 5 6 7 8 9]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>arr[2:6]<\/code> \u5f97\u5230\u7684\u662f\u89c6\u56fe\uff0c<code>view[0] = 999<\/code> \u5b9e\u9645\u6539\u7684\u662f\u539f\u6570\u7ec4\u7b2c 3 \u4e2a\u4f4d\u7f6e\u2014\u2014<strong>\u8fd9\u662f NumPy \u65b0\u624b\u7b2c\u4e00\u5927\u5751<\/strong>\uff1b<code>.copy()<\/code> \u4ea7\u751f\u72ec\u7acb\u526f\u672c\uff0c\u6539\u526f\u672c\u4e0d\u5f71\u54cd\u539f\u6570\u7ec4\u3002\u7ecf\u9a8c\u6cd5\u5219\uff1a\u53ea\u60f3\u300c\u770b\u4e00\u773c\u300d\u7528\u89c6\u56fe\uff0c\u8981\u300c\u6539\u4e86\u4e0d\u7275\u8fde\u539f\u6570\u636e\u300d\u5c31\u7528 <code>.copy()<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6613\u9519\u70b9<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u4e8c\u7ef4\u6570\u7ec4\u5199 <code>m[1][2]<\/code> \u2192 \u95ee\u9898\uff1a\u80fd\u8dd1\u4f46\u4e11\uff0c\u4e14\u548c NumPy \u8bed\u4e49\u4e0d\u4e00\u81f4 \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u5199 <code>m[1, 2]<\/code>\uff08\u9017\u53f7\u5206\u9694\u884c\u548c\u5217\uff09\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u6539\u5207\u7247\u60f3\u4e0d\u5f71\u54cd\u539f\u6570\u7ec4\uff1a<code>view = arr[2:6]; view[0] = 999<\/code> \u2192 \u95ee\u9898\uff1a\u5207\u7247\u662f\u89c6\u56fe\uff0c\u539f\u6570\u7ec4\u88ab\u8fde\u5e26\u4fee\u6539 \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u9700\u8981\u72ec\u7acb\u6570\u636e\u65f6 <code>arr[2:6].copy()<\/code>\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a<code>arr[2:6]<\/code> \u53d6\u300c\u7b2c 2 \u5230\u7b2c 6 \u4e2a\u300d\u5374\u603b\u5dee\u4e00\u4e2a \u2192 \u95ee\u9898\uff1a\u5207\u7247\u542b\u8d77\u4e0d\u542b\u6b62\uff0c<code>2:6<\/code> \u662f\u4e0b\u6807 2~5 \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u8bb0\u4f4f\u300c\u542b\u5934\u4e0d\u542b\u5c3e\u300d\uff0c\u8981 5 \u4e2a\u5143\u7d20\u5199 <code>arr[2:7]<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8bb0\u5fc6\u53e3\u8bc0<\/strong>\uff1a[\u884c, \u5217] \u4e2d\u95f4\u9017\uff0c\u542b\u8d77\u4e0d\u542b\u6b62\uff1b\u5207\u7247\u662f\u89c6\u56fe\uff0c\u72ec\u7acb\u8981 copy\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4 \u5e03\u5c14\u7d22\u5f15 \u2014\u2014 \u6309\u6761\u4ef6\u300c\u4e00\u952e\u7b5b\u4eba\u300d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u662f\u4ec0\u4e48\uff1f\u4e3a\u4ec0\u4e48\u5b66\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5e03\u5c14\u7d22\u5f15<\/strong>\u662f\u7528\u300c\u7531 True\/False \u7ec4\u6210\u7684\u6570\u7ec4\u300d\u5f53\u4e0b\u6807\uff0c\u53ea\u53d6\u6ee1\u8db3\u6761\u4ef6\u7684\u5143\u7d20\uff1a<code>arr[arr &gt; 30]<\/code> \u4e00\u884c\u7b5b\u51fa\u6240\u6709\u5927\u4e8e 30 \u7684\u6570\u3002\u8fd9\u662f NumPy \u6700\u5e38\u7528\u7684\u62db\u6570\u2014\u2014\u7b5b\u9009\u53ca\u683c\u6210\u7ee9\u3001\u627e\u51fa\u5f02\u5e38\u503c\u3001\u7edf\u8ba1\u8fbe\u6807\u4eba\u6570\uff0c\u5168\u6307\u671b\u5b83\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5e95\u5c42\u539f\u7406<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u8f83\u8fd0\u7b97\uff08<code>&gt;<\/code>\u3001<code>&lt;<\/code>\u3001<code>==<\/code>\uff09\u4f5c\u7528\u5728\u6570\u7ec4\u4e0a\u65f6\uff0c<strong>\u5bf9\u6bcf\u4e2a\u5143\u7d20\u5206\u522b\u6bd4\u8f83<\/strong>\uff0c\u751f\u6210\u4e00\u4e2a\u540c\u5f62\u72b6\u7684\u5e03\u5c14\u6570\u7ec4\uff1a<code>np.array([10, 25, 30]) &gt; 20<\/code> \u5f97\u5230 <code>[False True True]<\/code>\u3002\u628a\u8fd9\u4e2a\u5e03\u5c14\u6570\u7ec4\u653e\u8fdb <code>arr[...]<\/code> \u91cc\u5f53\u4e0b\u6807\uff0cNumPy \u5c31\u53ea\u53d6\u5bf9\u5e94\u4f4d\u7f6e\u4e3a True \u7684\u5143\u7d20\u3002\u591a\u4e2a\u6761\u4ef6\u7528 <strong><code>&amp;<\/code>\uff08\u4e0e\uff09\u3001<code>|<\/code>\uff08\u6216\uff09\u3001<code>~<\/code>\uff08\u975e\uff09<\/strong> \u8fde\u63a5\uff0c\u6bcf\u4e2a\u6761\u4ef6\u8981\u52a0\u62ec\u53f7\uff08\u56e0\u4e3a <code>&amp;<\/code> \u7684\u4f18\u5148\u7ea7\u6bd4\u6bd4\u8f83\u8fd0\u7b97\u4f4e\uff09\u3002<code>np.where(\u6761\u4ef6, \u662f, \u5426)<\/code> \u5219\u8fd4\u56de\u4e00\u4e2a\u4e0e\u6761\u4ef6\u540c\u5f62\u72b6\u7684\u6570\u7ec4\uff0c\u6309\u6761\u4ef6\u586b\u300c\u662f\u300d\u6216\u300c\u5426\u300d\u2014\u2014\u9002\u5408\u300c\u628a\u7b5b\u9009\u7ed3\u679c\u53d8\u6210\u6807\u8bb0\u300d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u751f\u6d3b\u7c7b\u6bd4<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e03\u5c14\u7d22\u5f15\u50cf<strong>\u5730\u94c1\u5b89\u68c0\u53e3<\/strong>\uff1a\u6bcf\u4e2a\u4e58\u5ba2\u8fc7\u95f8\u673a\u65f6\u88ab\u81ea\u52a8\u5224\u65ad\u300c\u662f\u5426\u5e26\u8fdd\u7981\u54c1\u300d\uff08\u5f97\u5230\u4e00\u4e32 True\/False\uff09\uff0cTrue \u7684\u653e\u884c\u3001False \u7684\u62e6\u4e0b\u2014\u2014\u4e0d\u7528\u5b89\u68c0\u5458\u4e00\u4e2a\u4e2a\u558a\u540d\u5b57\uff0c\u95f8\u673a\u6279\u91cf\u5224\u65ad\u3001\u6279\u91cf\u653e\u884c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6ce8\u610f\u4e8b\u9879\u603b\u7ed3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 <strong>\u6bd4\u8f83\u751f\u6210\u5e03\u5c14\u6570\u7ec4 + \u5e03\u5c14\u7d22\u5f15\u7b5b\u9009<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>arr = np.array(&#91;10, 25, 30, 45, 50])\nprint(arr &gt; 30)            # \u6bd4\u8f83\u5f97\u5230\u5e03\u5c14\u6570\u7ec4\nprint(arr&#91;arr &gt; 30])       # \u53ea\u53d6\u5927\u4e8e 30 \u7684\u5143\u7d20\nprint(arr&#91;(arr &gt; 20) &amp; (arr &lt; 50)])   # \u591a\u4e2a\u6761\u4ef6\u7528 &amp; \u8fde\u63a5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;False False False  True  True]\n&#91;45 50]\n&#91;25 30 45]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>arr &gt; 30<\/code> \u9010\u5143\u7d20\u6bd4\u8f83\uff0c\u5f97\u5230\u5e03\u5c14\u6570\u7ec4\uff1b<code>arr[\u5e03\u5c14\u6570\u7ec4]<\/code> \u53ea\u7559\u4e0b True \u4f4d\u7f6e\u7684\u5143\u7d20\uff1b\u4e24\u4e2a\u6761\u4ef6 <code>(arr &gt; 20) &amp; (arr &lt; 50)<\/code> \u8981<strong>\u5404\u81ea\u52a0\u62ec\u53f7<\/strong>\u518d\u4e0e <code>&amp;<\/code> \u8fde\u63a5\u2014\u2014<strong>\u5217\u8868\u8981\u5b9e\u73b0\u540c\u6837\u7684\u7b5b\u9009\u5fc5\u987b\u5199\u5faa\u73af\uff0c\u6570\u7ec4\u4e00\u884c\u641e\u5b9a<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 <strong>\u53d6\u53cd ~ \u4e0e np.where \u6807\u8bb0<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>arr = np.array(&#91;10, 25, 30, 45, 50])\nprint(arr&#91;~(arr &gt; 30)])          # ~ \u53d6\u53cd\uff1a\u4e0d\u5927\u4e8e 30 \u7684\nprint(np.where(arr &gt; 30, \"\u9ad8\", \"\u4f4e\"))   # \u5927\u4e8e 30 \u6807\"\u9ad8\"\uff0c\u5426\u5219\"\u4f4e\"\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;10 25 30]\n&#91;'\u4f4e' '\u4f4e' '\u4f4e' '\u9ad8' '\u9ad8']\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>~(arr &gt; 30)<\/code> \u628a\u5e03\u5c14\u6570\u7ec4\u53d6\u53cd\uff1b<code>np.where(\u6761\u4ef6, \u9ad8, \u4f4e)<\/code> \u4e0d\u7b5b\u6570\u636e\uff0c\u800c\u662f<strong>\u6309\u6761\u4ef6\u9010\u5143\u7d20\u6253\u6807\u7b7e<\/strong>\u2014\u2014\u6570\u636e\u5206\u6790\u91cc\u5e38\u7528\u4e8e\u628a\u6570\u503c\u8f6c\u6210\u300c\u53ca\u683c\/\u4e0d\u53ca\u683c\u300d\u300c\u9ad8\/\u4f4e\u300d\u8fd9\u7c7b\u6807\u8bb0\u5217\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6613\u9519\u70b9<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9519\u8bef\u5199\u6cd5\uff1a<code>arr[arr > 20 and arr &lt; 50]<\/code> \u2192 \u95ee\u9898\uff1aPython \u7684 <code>and<\/code> \u4e0d\u80fd\u7528\u4e8e\u6570\u7ec4\uff0c\u62a5 <code>ValueError: The truth value of an array...<\/code> \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u7528 <code>&amp;<\/code>\uff1a<code>arr[(arr > 20) &amp; (arr &lt; 50)]<\/code>\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a<code>arr[arr > 20 &amp; arr &lt; 50]<\/code> \u5fd8\u52a0\u62ec\u53f7 \u2192 \u95ee\u9898\uff1a<code>&amp;<\/code> \u4f18\u5148\u7ea7\u9ad8\u4e8e\u6bd4\u8f83\uff0c\u88ab\u89e3\u91ca\u6210 <code>arr > (20 &amp; arr) &lt; 50<\/code>\uff0c\u7ed3\u679c\u5168\u9519 \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u6bcf\u4e2a\u6761\u4ef6\u90fd\u52a0\u62ec\u53f7\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u7528 <code>or<\/code> \u8fde\u63a5\u300c\u6216\u300d\u6761\u4ef6 \u2192 \u95ee\u9898\uff1a\u6570\u7ec4\u4e0d\u652f\u6301 <code>or<\/code> \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u7528 <code>|<\/code>\uff1a<code>arr[(arr &lt; 20) | (arr > 45)]<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8bb0\u5fc6\u53e3\u8bc0<\/strong>\uff1a\u6bd4\u8f83\u5f97\u5e03\u5c14\uff0c\u5e03\u5c14\u5f53\u4e0b\u6807\uff1b\u4e0e &amp; \u6216 | \u975e ~\uff0c\u6761\u4ef6\u8bb0\u5f97\u52a0\u62ec\u53f7\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5 \u5e7f\u64ad\u4e0e\u805a\u5408 \u2014\u2014 \u4e00\u6b21\u7b97\u4e00\u6279\u7684\u300c\u52a0\u901f\u952e\u300d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u662f\u4ec0\u4e48\uff1f\u4e3a\u4ec0\u4e48\u5b66\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5e7f\u64ad<\/strong>\uff08broadcasting\uff09\u8ba9\u4e0d\u540c\u5f62\u72b6\u7684\u6570\u7ec4\u4e5f\u80fd\u505a\u8fd0\u7b97\uff08\u5c0f\u6570\u00d7\u6570\u7ec4\u3001\u884c\u5411\u91cf+\u5217\u5411\u91cf\uff09\uff0c<strong>\u805a\u5408<\/strong>\uff08aggregation\uff09\u628a\u6574\u6279\u6570\u636e\u300c\u6c47\u603b\u6210\u4e00\u4e2a\u6570\u300d\uff08\u603b\u548c\u3001\u5e73\u5747\u3001\u6807\u51c6\u5dee\uff09\u6216\u300c\u6309\u65b9\u5411\u6c47\u603b\u300d\uff08\u6bcf\u5217\u4e4b\u548c\uff09\u3002\u6279\u91cf\u8fd0\u7b97 + \u6c47\u603b\u7edf\u8ba1\uff0c\u662f\u6570\u636e\u5206\u6790\u7684\u57fa\u672c\u529f\u2014\u2014\u7b97\u603b\u9500\u552e\u989d\u3001\u627e\u6700\u9ad8\u5206\u3001\u7edf\u8ba1\u5e73\u5747\u5de5\u8d44\uff0c\u5168\u9760\u8fd9\u4e24\u4e2a\u673a\u5236\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5e95\u5c42\u539f\u7406<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e7f\u64ad\u7684\u89c4\u5219\uff1a\u8fd0\u7b97\u65f6 NumPy \u4ece<strong>\u6700\u540e\u4e00\u4e2a\u7ef4\u5ea6\u5f00\u59cb\u5bf9\u9f50<\/strong>\uff0c\u7ef4\u5ea6\u76f8\u540c\u6216\u5176\u4e2d\u4e00\u4e2a\u662f 1 \u5c31\u53ef\u4ee5\u6269\u5c55\uff1a<code>\u6570\u7ec4 * 0.8<\/code> \u628a\u6807\u91cf 0.8 \u6269\u5c55\u6210\u300c\u6bcf\u4e2a\u5143\u7d20\u90fd\u4e58\u300d\uff1b<code>(3,1)<\/code> \u7684\u5217\u5411\u91cf + <code>(3,)<\/code> \u7684\u884c\u5411\u91cf\uff0c\u5206\u522b\u6269\u5c55\u6210 <code>(3,3)<\/code> \u518d\u76f8\u52a0\u3002<strong>\u89c4\u5219\u4e00\u53e5\u8bdd\uff1a\u4ece\u53f3\u5f80\u5de6\u5bf9\uff0c\u5c3a\u5bf8\u76f8\u7b49\u6216\u4e3a 1 \u5c31\u80fd\u5e7f\u64ad<\/strong>\uff0c\u4e0d\u6ee1\u8db3\u5c31\u62a5 <code>ValueError: operands could not be broadcast together<\/code>\u3002\u805a\u5408\u51fd\u6570\u5e26 <code>axis<\/code> \u53c2\u6570\u63a7\u5236\u65b9\u5411\uff1a<code>axis=0<\/code> \u6cbf\u7740\u884c\u65b9\u5411\u300c\u5f80\u4e0b\u538b\u300d\uff0c\u5f97\u5230\u6bcf\u5217\u7684\u7ed3\u679c\uff08\u5f62\u72b6 = \u5217\u6570\uff09\uff1b<code>axis=1<\/code> \u6cbf\u7740\u5217\u65b9\u5411\u300c\u5f80\u53f3\u538b\u300d\uff0c\u5f97\u5230\u6bcf\u884c\u7684\u7ed3\u679c\uff08\u5f62\u72b6 = \u884c\u6570\uff09\u3002<code>argmax<\/code> \u8fd4\u56de\u6700\u5927\u503c\u7684<strong>\u4e0b\u6807<\/strong>\u800c\u975e\u503c\uff1b\u5e03\u5c14\u6570\u7ec4 <code>sum()<\/code> \u76f4\u63a5\u6570 True \u7684\u4e2a\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u751f\u6d3b\u7c7b\u6bd4<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e7f\u64ad\u50cf<strong>\u98df\u5802\u6253\u996d<\/strong>\uff1a\u5e08\u5085\uff08\u6807\u91cf\uff09\u7ed9\u6bcf\u4e2a\u9910\u76d8\u90fd\u6253\u4e00\u52fa\u2014\u2014\u4e0d\u7528\u4e00\u4e2a\u4e2a\u5355\u72ec\u6253\uff1b\u805a\u5408\u50cf<strong>\u6c47\u603b\u6210\u7ee9\u5355<\/strong>\uff1a\u628a\u5168\u73ed\u6bcf\u79d1\u6210\u7ee9\u300c\u538b\u300d\u6210\u4e00\u5217\u5e73\u5747\u5206\uff08axis=0 \u6309\u79d1\u538b\uff09\u6216\u4e00\u884c\u603b\u5206\uff08axis=1 \u6309\u4eba\u538b\uff09\u3002\u300c\u538b\u300d\u7684\u65b9\u5411\u4e0d\u540c\uff0c\u5f97\u5230\u7684\u6c47\u603b\u8868\u5c31\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6ce8\u610f\u4e8b\u9879\u603b\u7ed3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 <strong>\u5e7f\u64ad\u2014\u2014\u5217\u5411\u91cf + \u884c\u5411\u91cf\u6269\u5c55\u6210\u77e9\u9635<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>col = np.array(&#91;&#91;1], &#91;2], &#91;3]])    # 3 \u884c 1 \u5217\nrow = np.array(&#91;10, 20, 30])       # 1 \u884c 3 \u5217\uff08\u4e00\u7ef4\uff09\nprint(col + row)                   # \u5e7f\u64ad\u6210 3\u00d73\n\nbase = np.full((3, 3), 100)        # 3\u00d73 \u5168\u662f 100\nprint(base + np.array(&#91;1, 2, 3]))  # \u6bcf\u4e00\u884c\u90fd\u52a0\u540c\u4e00\u4e2a\u5411\u91cf\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;&#91;11 21 31]\n &#91;12 22 32]\n &#91;13 23 33]]\n&#91;&#91;101 102 103]\n &#91;101 102 103]\n &#91;101 102 103]]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>col<\/code> \u662f <code>(3,1)<\/code>\u3001<code>row<\/code> \u662f <code>(3,)<\/code>\uff0c\u4ece\u53f3\u5f80\u5de6\u5bf9\u9f50\u540e\u90fd\u6269\u5c55\u6210 <code>(3,3)<\/code> \u5bf9\u5e94\u76f8\u52a0\uff1b<code>base + np.array([1, 2, 3])<\/code> \u662f\u300c\u6bcf\u4e00\u884c\u90fd\u52a0\u540c\u4e00\u4e2a\u5411\u91cf\u300d\u2014\u2014<strong>\u5199\u4e00\u6b21\uff0c\u4f5c\u7528\u4e8e\u6574\u5f20\u8868<\/strong>\uff0c\u8fd9\u5c31\u662f\u5e7f\u64ad\u7684\u5a01\u529b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 <strong>\u805a\u5408 + axis \u65b9\u5411 + argmax<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>arr = np.array(&#91;3, 1, 4, 1, 5, 9, 2, 6])\nprint(\"\u603b\u548c:\", arr.sum())\nprint(\"\u5e73\u5747:\", arr.mean())\nprint(\"\u6807\u51c6\u5dee:\", arr.std())\nprint(\"\u6700\u5927\u503c\u4e0b\u6807:\", arr.argmax())\n\nm = np.array(&#91;&#91;1, 2, 3], &#91;4, 5, 6]])\nprint(\"\u6309\u5217\u6c42\u548c(axis=0):\", m.sum(axis=0))   # \u6bcf\u5217\u52a0\u8d77\u6765\nprint(\"\u6309\u884c\u6c42\u548c(axis=1):\", m.sum(axis=1))   # \u6bcf\u884c\u52a0\u8d77\u6765\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u603b\u548c: 31\n\u5e73\u5747: 3.875\n\u6807\u51c6\u5dee: 2.5708704751503917\n\u6700\u5927\u503c\u4e0b\u6807: 5\n\u6309\u5217\u6c42\u548c(axis=0): &#91;5 7 9]\n\u6309\u884c\u6c42\u548c(axis=1): &#91; 6 15]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>sum<\/code> \/ <code>mean<\/code> \/ <code>std<\/code>\uff08\u6807\u51c6\u5dee\uff0c\u8861\u91cf\u6570\u636e\u6ce2\u52a8\uff09\u628a\u4e00\u7ef4\u6570\u7ec4\u6c47\u603b\u6210\u4e00\u4e2a\u6570\uff1b<code>argmax<\/code> \u8fd4\u56de\u6700\u5927\u503c 9 \u7684<strong>\u4e0b\u6807 5<\/strong>\uff08\u4e0d\u662f\u503c 9\uff01\uff09\uff1b<code>m.sum(axis=0)<\/code> \u6cbf\u884c\u65b9\u5411\u538b\u5f97\u6bcf\u5217\u4e4b\u548c\uff1b<code>m.sum(axis=1)<\/code> \u6cbf\u5217\u65b9\u5411\u538b\u5f97\u6bcf\u884c\u4e4b\u548c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 <strong>\u5e03\u5c14\u6570\u7ec4\u7684 sum \u2014\u2014 \u76f4\u63a5\u6570 True \u7684\u4e2a\u6570<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>passed = np.array(&#91;True, True, False, True])\nprint(\"True \u7684\u4e2a\u6570:\", passed.sum())\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>True \u7684\u4e2a\u6570: 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e03\u5c14\u503c\u53c2\u4e0e\u8fd0\u7b97\u65f6 True \u5f53 1\u3001False \u5f53 0\uff0c\u6240\u4ee5 <code>passed.sum()<\/code> \u76f4\u63a5\u5f97\u5230 True \u7684\u4e2a\u6570\u2014\u2014<strong>\u300c\u7edf\u8ba1\u53ca\u683c\u4eba\u6570\u300d\u5c31\u662f\u300c\u5e03\u5c14\u6570\u7ec4\u6c42\u548c\u300d<\/strong>\uff0c\u4e00\u884c\u5b8c\u6210\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6613\u9519\u70b9<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9519\u8bef\u5199\u6cd5\uff1a<code>np.array([1, 2, 3]) + np.array([[1, 2], [3, 4]])<\/code> \u2192 \u95ee\u9898\uff1a\u5f62\u72b6 <code>(3,)<\/code> \u548c <code>(2,2)<\/code> \u65e0\u6cd5\u5bf9\u9f50\uff0c\u62a5 <code>ValueError<\/code> \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u5148 <code>reshape<\/code> \u8ba9\u7ef4\u5ea6\u5bf9\u9f50\uff0c\u5982 <code>np.array([1, 2, 3]).reshape(3, 1)<\/code>\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a\u60f3\u8981\u6bcf\u884c\u4e4b\u548c\u5374\u5199 <code>m.sum(axis=0)<\/code> \u2192 \u95ee\u9898\uff1a<code>axis=0<\/code> \u662f\u300c\u6cbf\u884c\u65b9\u5411\u538b\u300d\uff0c\u5f97\u5230\u7684\u662f\u6bcf\u5217\u4e4b\u548c \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u8bb0\u300caxis=0 \u538b\u884c\u5f97\u5217\uff0caxis=1 \u538b\u5217\u5f97\u884c\u300d\u3002<\/li>\n\n\n\n<li>\u9519\u8bef\u5199\u6cd5\uff1a<code>arr.argmax()<\/code> \u671f\u671b\u8fd4\u56de\u6700\u5927\u503c 9 \u2192 \u95ee\u9898\uff1a<code>argmax<\/code> \u8fd4\u56de\u7684\u662f<strong>\u4e0b\u6807<\/strong> 5 \u2192 \u6b63\u786e\u5199\u6cd5\uff1a\u60f3\u8981\u503c\u7528 <code>arr.max()<\/code>\uff0c\u60f3\u8981\u4f4d\u7f6e\u7528 <code>arr.argmax()<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8bb0\u5fc6\u53e3\u8bc0<\/strong>\uff1a\u5e7f\u64ad\u770b\u7ef4\u5ea6\uff1a\u76f8\u540c\u6216\u4e3a 1\uff0c\u4ece\u53f3\u5f80\u5de6\u5bf9\uff1b\u805a\u5408\u6309 axis\uff1a0 \u538b\u884c\u5f97\u5217\uff0c1 \u538b\u5217\u5f97\u884c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6 \u52a8\u624b\u5b9e\u8df5\uff1a\u6210\u7ee9\u5206\u6790\u811a\u672c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u505a\u4e00\u4e2a\u300c\u6210\u7ee9\u5206\u6790\u300d\u811a\u672c\uff1a\u7528 NumPy \u5b58\u4e00\u4e2a\u73ed\u7ea7\u7684 4 \u79d1\u6210\u7ee9\uff085 \u540d\u5b66\u751f\uff09\uff0c\u5b8c\u6210\u521b\u5efa\u3001\u67e5\u770b\u5f62\u72b6\u3001\u6309\u79d1\u7d22\u5f15\u3001\u6761\u4ef6\u7b5b\u9009\u3001\u603b\u5206\u6392\u540d\u3001\u6574\u4f53\u7edf\u8ba1\u4e00\u6574\u5957\u7ec3\u4e60\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># score_analysis.py \u2014\u2014 \u6570\u7ec4\u8ba1\u7b97\u7ec3\u4e60\nimport numpy as np\n\n# 1. \u521b\u5efa\uff1a5 \u540d\u5b66\u751f \u00d7 4 \u79d1\uff08\u8bed\u6587\u3001\u6570\u5b66\u3001\u82f1\u8bed\u3001Python\uff09\nscores = np.array(&#91;\n    &#91;88, 92, 85, 90],\n    &#91;75, 80, 78, 95],\n    &#91;90, 88, 92, 96],\n    &#91;60, 65, 70, 72],\n    &#91;95, 100, 90, 98],\n])\nnames = &#91;\"\u5f20\u4e09\", \"\u674e\u56db\", \"\u738b\u4e94\", \"\u8d75\u516d\", \"\u5b59\u4e03\"]\nsubjects = &#91;\"\u8bed\u6587\", \"\u6570\u5b66\", \"\u82f1\u8bed\", \"Python\"]\n\nprint(\"=== \u6570\u7ec4\u5f62\u72b6\u4e0e\u7c7b\u578b ===\")\nprint(\"shape:\", scores.shape, \"dtype:\", scores.dtype)\n\nprint(\"\\n=== Python \u79d1\u6210\u7ee9\uff08\u7b2c 4 \u5217\uff09===\")\nprint(scores&#91;:, 3])\n\nprint(\"\\n=== \u603b\u5206\u4e0e\u5e73\u5747\u5206 ===\")\ntotal = scores.sum(axis=1)\nprint(\"\u6bcf\u4eba\u603b\u5206:\", total)\nprint(\"\u5168\u79d1\u5e73\u5747:\", scores.mean())\nprint(\"Python \u79d1\u5e73\u5747:\", scores&#91;:, 3].mean())\n\nprint(\"\\n=== \u603b\u5206\u6392\u540d\uff08\u4ece\u9ad8\u5230\u4f4e\uff09===\")\norder = total.argsort()&#91;::-1]          # \u4e0b\u6807\u4ece\u5927\u5230\u5c0f\nfor rank, idx in enumerate(order, 1):\n    print(f\"\u7b2c{rank}\u540d: {names&#91;idx]} {total&#91;idx]}\u5206\")\n\nprint(\"\\n=== \u5e03\u5c14\u7d22\u5f15\uff1aPython \u53ca\u683c\u7684\u540d\u5355 ===\")\npassed = scores&#91;:, 3] &gt;= 60\nprint(passed)\nprint(\"\u53ca\u683c\u4eba\u6570:\", passed.sum())\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd0\u884c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>=== \u6570\u7ec4\u5f62\u72b6\u4e0e\u7c7b\u578b ===\nshape: (5, 4) dtype: int64\n\n=== Python \u79d1\u6210\u7ee9\uff08\u7b2c 4 \u5217\uff09===\n&#91;90 95 96 72 98]\n\n=== \u603b\u5206\u4e0e\u5e73\u5747\u5206 ===\n\u6bcf\u4eba\u603b\u5206: &#91;355 328 366 267 383]\n\u5168\u79d1\u5e73\u5747: 84.95\nPython \u79d1\u5e73\u5747: 90.2\n\n=== \u603b\u5206\u6392\u540d\uff08\u4ece\u9ad8\u5230\u4f4e\uff09===\n\u7b2c1\u540d: \u5b59\u4e03 383\u5206\n\u7b2c2\u540d: \u738b\u4e94 366\u5206\n\u7b2c3\u540d: \u5f20\u4e09 355\u5206\n\u7b2c4\u540d: \u674e\u56db 328\u5206\n\u7b2c5\u540d: \u8d75\u516d 267\u5206\n\n=== \u5e03\u5c14\u7d22\u5f15\uff1aPython \u53ca\u683c\u7684\u540d\u5355 ===\n&#91; True  True  True  True  True]\n\u53ca\u683c\u4eba\u6570: 5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ec3\u4e60\u91cc\u7528\u5230\u7684\u77e5\u8bc6\u70b9\u4e32\u8054\uff1a<code>axis=1<\/code> \u6309\u884c\u6c42\u548c\u3001<code>[:, 3]<\/code> \u53d6\u7b2c 4 \u5217\u3001<code>&gt;=<\/code> \u751f\u6210\u5e03\u5c14\u6570\u7ec4\u3001\u5e03\u5c14\u6570\u7ec4\u7684 <code>sum()<\/code> \u76f4\u63a5\u6570\u51fa True \u7684\u4e2a\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5347\u7ea7\u6311\u6218<\/strong>\uff1a\u7528 <code>scores.max(axis=1)<\/code> \u627e\u51fa\u6bcf\u4eba\u6700\u9ad8\u5206\u79d1\u76ee\uff1b\u7528 <code>scores &gt; 90<\/code> \u751f\u6210\u4e00\u5f20\u300c\u54ea\u4e9b\u4eba\u54ea\u79d1\u8d85\u8fc7 90 \u5206\u300d\u7684\u5e03\u5c14\u8868\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4eca\u65e5\u603b\u7ed3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u80fd\u719f\u7ec3\u521b\u5efa\u6570\u7ec4\uff08<code>array<\/code> \/ <code>zeros<\/code> \/ <code>ones<\/code> \/ <code>arange<\/code> \/ <code>linspace<\/code>\uff09\n\u80fd\u8bf4\u51fa <code>shape<\/code> \u548c <code>dtype<\/code> \u5206\u522b\u8868\u793a\u4ec0\u4e48\uff0c<code>reshape<\/code> \u524d\u540e\u5143\u7d20\u603b\u6570\u5fc5\u987b\u4e00\u81f4\n\u4f1a\u7528 <code>[\u884c, \u5217]<\/code> \u7d22\u5f15\u3001\u5207\u7247\u3001\u5e03\u5c14\u7d22\u5f15\u53d6\u6570\u636e\uff1b\u77e5\u9053\u5207\u7247\u662f\u300c\u89c6\u56fe\u300d\uff0c\u8981\u72ec\u7acb\u6539\u6570\u636e\u7528 <code>.copy()<\/code>\n\u4f1a\u7528 <code>&amp;<\/code> \/ <code>|<\/code> \/ <code>~<\/code> \u7ec4\u5408\u5e03\u5c14\u6761\u4ef6\uff0c\u4f1a\u7528 <code>np.where<\/code> \u6309\u6761\u4ef6\u6253\u6807\u8bb0\n\u7406\u89e3\u5e7f\u64ad\u89c4\u5219\uff08\u5c3a\u5bf8\u76f8\u7b49\u6216\u4e3a 1 \u5c31\u80fd\u6269\u5c55\uff09\uff0c\u4f1a\u7528 <code>axis<\/code> \u63a7\u5236\u805a\u5408\u65b9\u5411\n\u4f1a\u7528 <code>sum<\/code> \/ <code>mean<\/code> \/ <code>std<\/code> \/ <code>argmax<\/code> \u805a\u5408\uff0c\u4f1a\u7528\u5e03\u5c14\u6570\u7ec4 <code>sum()<\/code> \u6570 True \u7684\u4e2a\u6570\n\u6210\u7ee9\u5206\u6790\u811a\u672c\u8fd0\u884c\u6b63\u5e38\uff0c\u6392\u540d\u4e0e\u7edf\u8ba1\u7ed3\u679c\u6b63\u786e<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u62a5\u9519<\/th><th>\u539f\u56e0<\/th><th>\u4fee\u590d<\/th><\/tr><\/thead><tbody><tr><td><code>ModuleNotFoundError: No module named 'numpy'<\/code><\/td><td>\u6ca1\u5b89\u88c5 NumPy<\/td><td><code>pip install numpy<\/code>\uff08\u786e\u8ba4\u5728\u6b63\u786e\u7684\u865a\u62df\u73af\u5883\u91cc\uff09<\/td><\/tr><tr><td><code>ValueError: shape mismatch: objects cannot be broadcast<\/code><\/td><td>\u4e24\u4e2a\u6570\u7ec4\u5f62\u72b6\u4e0d\u540c\u8fd8\u505a\u8fd0\u7b97<\/td><td>\u68c0\u67e5\u4e24\u8fb9 shape \u662f\u5426\u5339\u914d\uff0c\u6216\u7edf\u4e00\u5f62\u72b6<\/td><\/tr><tr><td><code>IndexError: index 4 is out of bounds for axis 0 with size 4<\/code><\/td><td>\u4e0b\u6807\u8d8a\u754c\uff0c\u8d85\u51fa\u4e86\u6570\u7ec4\u957f\u5ea6<\/td><td>\u4e0b\u6807\u4ece 0 \u5f00\u59cb\uff0c\u6700\u5927\u662f <code>shape - 1<\/code><\/td><\/tr><tr><td><code>ValueError: operands could not be broadcast together<\/code><\/td><td>\u5e7f\u64ad\u89c4\u5219\u4e0d\u6ee1\u8db3<\/td><td>\u4f8b\u5982 <code>(3,)<\/code> \u7684\u6570\u7ec4\u548c <code>(2, 3)<\/code> \u76f8\u52a0\u8981\u786e\u8ba4\u7ef4\u5ea6\u5bf9\u9f50<\/td><\/tr><tr><td><code>TypeError: 'numpy.float64' object is not subscriptable<\/code><\/td><td>\u628a\u5355\u4e2a\u6570\u503c\u5f53\u6570\u7ec4\u7528\u4e86<\/td><td>\u68c0\u67e5\u662f\u5426\u5fd8\u4e86\u53d6\u6574\u5217\/\u6574\u884c\uff0c\u5148 <code>print(arr.shape)<\/code> \u786e\u8ba4\u7ed3\u6784<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>1 ndarray \u2014\u2014 \u4e3a\u4ec0\u4e48\u6570\u7ec4\u6bd4\u5217\u8868\u5feb\u51e0\u5341\u500d \u662f\u4ec0\u4e48\uff1f\u4e3a\u4ec0\u4e48\u5b66\uff1f ndarray\uff08N-dimension [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_import_markdown_pro_load_document_selector":0,"_import_markdown_pro_submit_text_textarea":"","footnotes":""},"categories":[16,9],"tags":[17],"class_list":["post-110","post","type-post","status-publish","format-standard","hentry","category-python","category-code-dev","tag-python-day"],"_links":{"self":[{"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/posts\/110","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/comments?post=110"}],"version-history":[{"count":2,"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/posts\/110\/revisions"}],"predecessor-version":[{"id":151,"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/posts\/110\/revisions\/151"}],"wp:attachment":[{"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/media?parent=110"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/categories?post=110"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ltrainyard.icu\/index.php\/wp-json\/wp\/v2\/tags?post=110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}