{"resolved":true,"match_type":"uuid","source_type":"original_book","book_id":"dde4e586-1def-4457-8ec5-0287b0b0511d","title":"认知 人行为背后的思维与智能","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787300273921","requested_by":"printed_page","book":{"source_type":"original_book","book_id":"dde4e586-1def-4457-8ec5-0287b0b0511d","id":"dde4e586-1def-4457-8ec5-0287b0b0511d","uuid":"dde4e586-1def-4457-8ec5-0287b0b0511d","title":"认知 人行为背后的思维与智能","normalized_title":"认知人行为背后的思维与智能","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787300273921","isbns":["9787300273921"],"parsed":true,"ai_readable":true,"document_type":"book","page_count":290,"navigation_url":"https://workshop.closeclaw.top/ai/book/dde4e586-1def-4457-8ec5-0287b0b0511d","title_url":"https://workshop.closeclaw.top/ai/title/%E8%AE%A4%E7%9F%A5%20%E4%BA%BA%E8%A1%8C%E4%B8%BA%E8%83%8C%E5%90%8E%E7%9A%84%E6%80%9D%E7%BB%B4%E4%B8%8E%E6%99%BA%E8%83%BD","fixed_page_url_template":"https://workshop.closeclaw.top/ai/book/dde4e586-1def-4457-8ec5-0287b0b0511d/page/{printed_page}","path_api_url_template":"https://workshop.closeclaw.top/api/ai/book/dde4e586-1def-4457-8ec5-0287b0b0511d/page/{printed_page}","read_url":"https://workshop.closeclaw.top/api/ai/read/dde4e586-1def-4457-8ec5-0287b0b0511d","page_url":"https://workshop.closeclaw.top/api/ai/books/dde4e586-1def-4457-8ec5-0287b0b0511d/page","search_url":"https://workshop.closeclaw.top/api/ai/books/dde4e586-1def-4457-8ec5-0287b0b0511d/search"},"page":{"printed_page":221,"pdf_page":232,"physical_index":232,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"75a147d336559cc7335f2d00b8464176619bf8fc17f0c695d8516b5d1e8c3b70"},"chapter":"第六章","content":"（3）如果得出总和，则与x的系数进行匹配：\n\n(4)如果匹配合适，则写出各因子：是什么呢?\n\n$$\n? ?\n$$\n\n这是把问题简单化了的粗略的步骤。实际上，若无负数，学生可能会分解得出来，有了负数，可能就解不出来了。从这里仍可看出，过分概括化不能解题。若告诉学生，要分解一个式子实际上等于乘法的逆运算时，学生会怎么样呢?给学生一个式子：\n\n$$\n\\scriptstyle ( x + 5 ) ( x - 3 ) = x ^ { 2 } + 5 x - 3 x - 1 5 = x ^ { 2 } + 2 x - 1 5\n$$\n\n我们会看到，这一过程和上面讲的产生式完全不同。学生会把等号前后两个式子进行分析比较：\n\n学生可能会做些尝试，把左边两个式子一步步乘出来，如上图。学生在几次尝试后就会发现捷径，如他可能概括出“先看积比先看和容易”，负号应放在哪边才合适等等。\n\n第六章 学 习\n\n221","previous_page":220,"next_page":222}