[
    {
        "id":  517296,
        "publisher":  679395,
        "username":  "Joan Von Felix",
        "avatar":  "https://img-avatar.eduzhixin.com/avatar/a6233f6727b55613c9fe073bba6a4df5/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
        "content":  "\u003cp\u003e感觉像加油⛽\u003c/p\u003e\u003cp\u003e40L还是400块的问题\u003c/p\u003e",
        "thumb_up_num":  3,
        "comment_num":  1,
        "created_at":  "1786717388",
        "has_thumb_up":  0,
        "comment_list":  [
                             {
                                 "id":  794153,
                                 "publisher":  673386,
                                 "username":  "羽落繁星",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/321dc3b1e417bb05c2095e95aadfdc5a/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e或者是前一半时间和后一半时间速度一定 还是前一半路程和后一半路程速度一定的问题·-·\u003c/p\u003e",
                                 "thumb_up_num":  3,
                                 "did":  69541,
                                 "created_at":  "1786717748",
                                 "rid":  517296,
                                 "reply_uid":  0,
                                 "reply_uname":  "",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_b268a1caef4b724316cd0b5eda504bca"
                             }
                         ],
        "avatar_dress_up_url":  "",
        "avatar_dress_up_name":  "",
        "avatar_dress_up_id":  0,
        "user_code":  "UID_819c857488ba9ef9a973da23750666fe"
    },
    {
        "id":  517332,
        "publisher":  637565,
        "username":  "白芥",
        "avatar":  "https://img-avatar.eduzhixin.com/avatar/da074d0d31b0f1366b5396b33d55f973/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
        "content":  "\u003cp\u003e不是给提示了嘛，看题目呀，要用基本不等式思考\u003c/p\u003e\u003cp\u003e（一定要思考一下才可以看答案哦)\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\u003cp\u003e解答：对于方案A，可以设每次买了m根棒棒糖，一共买了a次，采购的价格为p，那么我们采购每一根的单价为：\u003c/p\u003e\u003cp\u003e$\\frac{mp_1+mp_2+...}{am}$\u003c/p\u003e\u003cp\u003e对于方案B，设每次花了n元，那么单价：\u003c/p\u003e\u003cp\u003e$\\frac{n}{\\frac{n}{p_1}+\\frac{n}{p_2}+...}$\u003c/p\u003e\u003cp\u003e这个式子好复杂，简单些考虑，我们只取特殊情况，令他们都只有两项，那么\u003c/p\u003e\u003cp\u003e方案A：$\\frac{mp_1+mp_2}{am}$\u003c/p\u003e\u003cp\u003e方案B：$\\frac{n}{\\frac{n}{p_1}+\\frac{n}{p_2}}$\u003c/p\u003e\u003cp\u003e根据大家都知道的基本不等式，调和平均数小于等于平方平均数，也就是正文中 基本不等式 的首尾两项。因此B策略会划算些。\u003c/p\u003e",
        "thumb_up_num":  8,
        "comment_num":  3,
        "created_at":  "1786721055",
        "has_thumb_up":  0,
        "comment_list":  [
                             {
                                 "id":  794248,
                                 "publisher":  686426,
                                 "username":  "星辰璟然",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/5b62e7f99725b27d62b65311ff7cf85c/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e那也要m=n啊\u003c/p\u003e",
                                 "thumb_up_num":  4,
                                 "did":  69541,
                                 "created_at":  "1786724253",
                                 "rid":  517332,
                                 "reply_uid":  0,
                                 "reply_uname":  "",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_0cc7e10baaff8368fe8003ab4a6a9298"
                             },
                             {
                                 "id":  794264,
                                 "publisher":  686426,
                                 "username":  "星辰璟然",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/5b62e7f99725b27d62b65311ff7cf85c/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e就题目条件来讲，如果没说m=n，好像比不出来\u003c/p\u003e",
                                 "thumb_up_num":  4,
                                 "did":  69541,
                                 "created_at":  "1786725526",
                                 "rid":  517332,
                                 "reply_uid":  686426,
                                 "reply_uname":  "星辰璟然",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_0cc7e10baaff8368fe8003ab4a6a9298"
                             },
                             {
                                 "id":  794352,
                                 "publisher":  701341,
                                 "username":  "近义词",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/24f0c3a9c5357e383918b0097d0466f0/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e对于方案B，下面一坨是一共的数量，上面为总价，但总价不是n，应该是an？🤔\u003c/p\u003e",
                                 "thumb_up_num":  1,
                                 "did":  69541,
                                 "created_at":  "1786758934",
                                 "rid":  517332,
                                 "reply_uid":  0,
                                 "reply_uname":  "",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_2fe6853d907daeeb4333276558399bee"
                             }
                         ],
        "avatar_dress_up_url":  "",
        "avatar_dress_up_name":  "",
        "avatar_dress_up_id":  0,
        "user_code":  "UID_e3234ef5c0d57a9a03631a430edf0c25"
    },
    {
        "id":  517401,
        "publisher":  677681,
        "username":  "Gcdal33",
        "avatar":  "https://img-avatar.eduzhixin.com/avatar/aead2fc5c56e052d2e06d140eb5e58a7/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
        "content":  "。。。\u003cp\u003e\u003cimg alt=\"1784727026140.jpg\" src=\"https://img-forum.eduzhixin.com/forum/zhixin/uploadfiles/20260815/395c26eb2ca7964d56e3f4aca40d3d461c3e356c08.jpg\" width=\"100%\" data-filename=\"1784727026140.jpg\"\u003e\u003cbr\u003e\u003c/p\u003e",
        "thumb_up_num":  4,
        "comment_num":  0,
        "created_at":  "1786755480",
        "has_thumb_up":  0,
        "comment_list":  [

                         ],
        "avatar_dress_up_url":  "",
        "avatar_dress_up_name":  "",
        "avatar_dress_up_id":  0,
        "user_code":  "UID_d6f36ae728d06a4639392e5190f18e4e"
    },
    {
        "id":  517415,
        "publisher":  623813,
        "username":  "幸福健康",
        "avatar":  "https://img-avatar.eduzhixin.com/avatar/6e7fcac2614abea00f5df61fc7596153/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
        "content":  "\u003cp\u003e发到以前有人问过的老题(放在柯西没意见吧)\u003c/p\u003e\u003cp\u003e4对a_i∈［1,2^k］（i=1,2,…,n)$\u003c/p\u003e\u003cp\u003e$求证\\sum^n_{k=1}\\frac{a_k}{\\sqrt{\\sum^k_{i=1}a_i^2}}≤4\\sqrt{kn}$\u003c/p\u003e",
        "thumb_up_num":  8,
        "comment_num":  1,
        "created_at":  "1786756829",
        "has_thumb_up":  0,
        "comment_list":  [
                             {
                                 "id":  794335,
                                 "publisher":  623813,
                                 "username":  "幸福健康",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/6e7fcac2614abea00f5df61fc7596153/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e考\u003c/p\u003e\u003cp\u003e发到老题\u003c/p\u003e\u003cp\u003e$对a_i∈［1,2^k］（i=1,2,…,n)$\u003c/p\u003e\u003cp\u003e$求证\\sum^n_{k=1}\\frac{a_k}{\\sqrt{\\sum^k_{i=1}a_i^2}}≤4\\sqrt{kn}$\u003c/p\u003e",
                                 "thumb_up_num":  3,
                                 "did":  69541,
                                 "created_at":  "1786756862",
                                 "rid":  517415,
                                 "reply_uid":  0,
                                 "reply_uname":  "",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_5cb81b1d00da268c98889f470838756f"
                             }
                         ],
        "avatar_dress_up_url":  "",
        "avatar_dress_up_name":  "",
        "avatar_dress_up_id":  0,
        "user_code":  "UID_5cb81b1d00da268c98889f470838756f"
    },
    {
        "id":  517425,
        "publisher":  701341,
        "username":  "近义词",
        "avatar":  "https://img-avatar.eduzhixin.com/avatar/24f0c3a9c5357e383918b0097d0466f0/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
        "content":  "切比雪夫不等式，好像是这个雪，也可能是我记错了😜\u003cdiv\u003e好久之前学的，不咋用，所以印象不是很深\u003c/div\u003e",
        "thumb_up_num":  3,
        "comment_num":  2,
        "created_at":  "1786758347",
        "has_thumb_up":  0,
        "comment_list":  [
                             {
                                 "id":  794358,
                                 "publisher":  661489,
                                 "username":  "穹星",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/de3d8d525e0bdfbf16812b2897c391bb/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e是你这个雪，对的\u003c/p\u003e\u003cp\u003e当然毕竟都是音译的，知道是什么就行😄\u003c/p\u003e",
                                 "thumb_up_num":  2,
                                 "did":  69541,
                                 "created_at":  "1786759520",
                                 "rid":  517425,
                                 "reply_uid":  0,
                                 "reply_uname":  "",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_f5d6620d14a6bbe3791431803785326e"
                             },
                             {
                                 "id":  794361,
                                 "publisher":  701341,
                                 "username":  "近义词",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/24f0c3a9c5357e383918b0097d0466f0/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e嗯嗯好滴😜\u003c/p\u003e",
                                 "thumb_up_num":  2,
                                 "did":  69541,
                                 "created_at":  "1786759832",
                                 "rid":  517425,
                                 "reply_uid":  661489,
                                 "reply_uname":  "穹星",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_2fe6853d907daeeb4333276558399bee"
                             }
                         ],
        "avatar_dress_up_url":  "",
        "avatar_dress_up_name":  "",
        "avatar_dress_up_id":  0,
        "user_code":  "UID_2fe6853d907daeeb4333276558399bee"
    },
    {
        "id":  517435,
        "publisher":  661489,
        "username":  "穹星",
        "avatar":  "https://img-avatar.eduzhixin.com/avatar/de3d8d525e0bdfbf16812b2897c391bb/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
        "content":  "\u003cp\u003e咱AM-GM不等式哪去了😥(就是均值不等式)\u003c/p\u003e\u003cp\u003e还有，怎么柯西只写了二元形式.....\u003c/p\u003e\u003cp\u003e权方和是什么来着😅忘了\u003c/p\u003e\u003cp\u003e建议补充：\u003c/p\u003e\u003cp\u003e1.均值不等式\u003c/p\u003e\u003cp\u003e2.各个不等式的n元情况\u003c/p\u003e\u003cp\u003e(3.各个不等式的证明)\u003c/p\u003e\u003cp\u003e4.排序不等式\u003c/p\u003e",
        "thumb_up_num":  8,
        "comment_num":  0,
        "created_at":  "1786759692",
        "has_thumb_up":  0,
        "comment_list":  [

                         ],
        "avatar_dress_up_url":  "",
        "avatar_dress_up_name":  "",
        "avatar_dress_up_id":  0,
        "user_code":  "UID_f5d6620d14a6bbe3791431803785326e"
    },
    {
        "id":  517571,
        "publisher":  630661,
        "username":  "鳞龙用户7769（疯魔神帝版）",
        "avatar":  "https://img-avatar.eduzhixin.com/avatar/b28daca0c9e6adb93c46e78f5fb88ed3/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
        "content":  "\u003cp\u003e呃，不等式是不是有亿点点少，柯西不等式的两个进阶不等式呢？，白芥啊，咱多更一些吧\u003cspan class=\"simditor-mention\" href=\"/homepage/UID_e3234ef5c0d57a9a03631a430edf0c25\" data-mention=\"true\" contenteditable=\"false\" target=\"_blank\" data-userid=\"637565\"\u003e@白芥呀~\u003c/span\u003e \u003cimg src=\"https://static.eduzhixin.com/json/forum/image/emoji/images/11.png\" width=\"44\" height=\"44\" alt=\"11.png\" data-emoji=\"true\" data-non-image=\"true\"\u003e\u003c/p\u003e",
        "thumb_up_num":  2,
        "comment_num":  2,
        "created_at":  "1786782034",
        "has_thumb_up":  0,
        "comment_list":  [
                             {
                                 "id":  794659,
                                 "publisher":  637565,
                                 "username":  "白芥",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/da074d0d31b0f1366b5396b33d55f973/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e在更新啦在更新啦，板砖敲公式好麻烦，打算在平板上弄好传过来..\u003c/p\u003e",
                                 "thumb_up_num":  6,
                                 "did":  69541,
                                 "created_at":  "1786806033",
                                 "rid":  517571,
                                 "reply_uid":  0,
                                 "reply_uname":  "",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_e3234ef5c0d57a9a03631a430edf0c25"
                             },
                             {
                                 "id":  794836,
                                 "publisher":  630661,
                                 "username":  "鳞龙用户7769（疯魔神帝版）",
                                 "avatar":  "https://img-avatar.eduzhixin.com/avatar/b28daca0c9e6adb93c46e78f5fb88ed3/s.jpg?x-oss-process=style/avatar\u0026t=202609122211",
                                 "content":  "\u003cp\u003e好嘟好嘟\u003c/p\u003e",
                                 "thumb_up_num":  0,
                                 "did":  69541,
                                 "created_at":  "1786851374",
                                 "rid":  517571,
                                 "reply_uid":  637565,
                                 "reply_uname":  "白芥",
                                 "has_thumb_up":  0,
                                 "avatar_dress_up_url":  "",
                                 "avatar_dress_up_name":  "",
                                 "avatar_dress_up_id":  0,
                                 "user_code":  "UID_adfde73685741c8003ccc08bd1cbc425"
                             }
                         ],
        "avatar_dress_up_url":  "",
        "avatar_dress_up_name":  "",
        "avatar_dress_up_id":  0,
        "user_code":  "UID_adfde73685741c8003ccc08bd1cbc425"
    }
]