{"id":2413,"date":"2026-05-18T20:13:17","date_gmt":"2026-05-18T20:13:17","guid":{"rendered":"https:\/\/mcqacademy.com\/zh\/mcq\/binomial-coefficient-term-1\/"},"modified":"2026-05-18T20:13:17","modified_gmt":"2026-05-18T20:13:17","slug":"binomial-coefficient-term-1","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/zh\/mcq\/binomial-coefficient-term-1\/","title":{"rendered":"\u4e8c\u9879\u5f0f\u7cfb\u6570\u9879 1"},"content":{"rendered":"<p>\u5728 (2x + 1y)^10 \u7684\u5c55\u5f00\u5f0f\u4e2d\uff0c\u6c42 x^9y^1 \u7684\u7cfb\u6570\u3002<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>10<\/li>\n<li>5120<\/li>\n<li>-5120<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[1079,1113],"subject":[1080],"education_level":[5],"class_list":["post-2413","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-binomial-theorem","subject-algebra","education_level-hsc"],"mcq_note":"\u4f7f\u7528\u4e8c\u9879\u5f0f\u5b9a\u7406\uff0c\u5e76\u6839\u636e y \u7684\u5e42\u6765\u786e\u5b9a k \u7684\u503c\u3002\u4e00\u65e6 k \u786e\u5b9a\uff0cx \u7684\u5e42\u5c31\u81ea\u52a8\u662f n-k\u3002\u901a\u9879\u4e3a C(10,k)(2x)^(10-k)(y)^k\u3002\u5f53 k=1 \u65f6\uff0c\u7cfb\u6570\u4e3a C(10,1)\u00b72^9\u00b71^1=5120\u3002\u8bf7\u8bb0\u4f4f\uff0c\u6570\u503c\u7cfb\u6570\u6765\u81ea\u4e8c\u9879\u5f0f\u7cfb\u6570\u4ee5\u53ca x\u3001y \u524d\u9762\u7684\u5e38\u6570\uff0c\u5305\u62ec\u53ef\u80fd\u51fa\u73b0\u7684\u8d1f\u53f7\u3002","mcq_options":[{"right":"no","answer":"10"},{"right":"yes","answer":"5120"},{"right":"no","answer":"-5120"}],"multi_answers":"no","subject_terms":[{"id":1080,"title":"Algebra","slug":"algebra"}],"topic_terms":[{"id":1079,"title":"Algebra","slug":"algebra"},{"id":1113,"title":"Binomial Expansion","slug":"binomial-theorem"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/mcq\/2413","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/comments?post=2413"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/media?parent=2413"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/topic?post=2413"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/subject?post=2413"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/education_level?post=2413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}