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修改19868,19869题面

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wangweiye7840 2023-10-09 15:20:21 +08:00
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题库0.3/Problems.json
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@ -514556,7 +514556,7 @@
}, },
"019868": { "019868": {
"id": "019868", "id": "019868",
"content": "(待编辑)(1) 设$a,b,c$均为正数, 且$ab+bc+ca=1$, 求证: $a+b+c\\ge \\sqrt{3}$.", "content": "(1) 设$a,b,c$均为正数, 且$ab+bc+ca=1$, 求证: $a+b+c\\ge \\sqrt{3}$.",
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "4em", "genre": "4em",
@ -514579,7 +514579,7 @@
}, },
"019869": { "019869": {
"id": "019869", "id": "019869",
"content": "(待编辑)已知 $a>0$, $b>0$, 且 $a+b=1$.\\\\\n(1) 求: $\\dfrac{1}{a}+\\dfrac{1}{b}$ 的最小值;\\\\\n(2) 求 $\\sqrt{a+1}+\\sqrt{b+1}$ 的最大值.", "content": "已知 $a>0$, $b>0$, 且 $a+b=1$.\\\\\n(1) 求: $\\dfrac{1}{a}+\\dfrac{1}{b}$ 的最小值;\\\\\n(2) 求 $\\sqrt{a+1}+\\sqrt{b+1}$ 的最大值.",
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "4em", "genre": "4em",