解题方法
1 . 已知实数
满足
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4d93c044d440695e43b19a69320414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 若正实数
满足
,则
的最大值为________ (用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6964f26e70afe3d425ea971d3212bb9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 已知正实数
,
,
满足
,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc6d59c23409f52467bc861c084903e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae0ea6c778c8be53b617ff4db5af77f.png)
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2024-02-29更新
|
809次组卷
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4卷引用:四川省德阳市2024届高三下学期质量监测考试(二)数学(理科)试卷
四川省德阳市2024届高三下学期质量监测考试(二)数学(理科)试卷(已下线)1.3 不等式(高考真题素材之十年高考)(已下线)压轴题03不等式压轴题13题型汇总 -1湖南省岳阳县第一中学2024届高三下学期6月适应性考试数学试题
名校
4 . 已知点
的坐标为
,点
是圆
上任意两个不同的点,且满足
,设
为线段
的中点,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a850dd87b47b687834c071c3779615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b9d60d9907e4ab950bc61f52ddbf70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89baa54574a5f6b948e6bba8fdcb160.png)
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2023-05-18更新
|
660次组卷
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3卷引用:四川省成都石室中学2023届高三高考冲刺最后一卷文科数学试题
5 . 设抛物线
的焦点是
, 直线
与抛物线
相交于
、
两点, 且
, 线段
的中点
到抛物线
的准线的距离为
, 则
的最小值为_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8098a6b57a05154a5c154c03ed96ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211f11b5b5262dae696554a0145df6ce.png)
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2023-02-16更新
|
578次组卷
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3卷引用:四川省南充高级中学2023届高考模拟检测七文科数学试题
22-23高三上·四川·阶段练习
解题方法
6 . 已知
,
,且
,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc65d6eb9b63f96d80b54ec9893aee8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131ac7eb1e911c9a40e84235bf3742ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d92775ffe04d55848ab3437a2fc045.png)
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7 . 已知a,b为正实数,且
,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3842584a2f57f21853bff7ffa6571a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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2022-05-08更新
|
764次组卷
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4卷引用:四川省广安市第二中学校2022届高三下学期第四次模拟考试数学(理)试题
名校
解题方法
8 . 已知函数
的图象经过定点
,若正数x,y满足
,则
的最小值是__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae3b00544d456a0d61847c144cae3c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2de78b3148620cc740e52edb9a791c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc7f27ee299d3b08c1a39ff14f3a1e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bec45f12ccd1a44bd758690b09ea8c9.png)
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2021-12-24更新
|
1162次组卷
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4卷引用:四川省成都市第七中学2021-2022学年高三上学期1月阶段性考试文科数学试题
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解题方法
9 . 若正数
、
满足
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107a0f19298bcd4c0b8940d6de77ea7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
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2021-12-03更新
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7卷引用:四川省泸州市合江县马街中学校2024届高三下学期开学考试数学(理)试题
名校
10 . 已知正数
,
满足
,
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9ab2851e7b5d13f9b38601397bd7f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5e0440e61d48b749bb066ad3d089b6.png)
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2021-09-03更新
|
846次组卷
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2卷引用:四川省成都市第七中学2021-2022学年高三上学期一诊模拟考试数学(理)试题