名校
解题方法
1 . 设
,
,且
.
(1)求
的最大值及取得最大值时a和b的值;
(2)求
的最小值及取得最小值时a和b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab4675bb0303560cbe552f4211d0cb32.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f5a03e526c4efd0e8c7c8fcc94c7c2.png)
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名校
解题方法
2 . 比较下列各组中
与
的大小,并给出证明.
(1)
与
;
(2)
与
,(其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b5bc4aacc85a270b2cf47c59ab0f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c512ead5eebabcf7d2ca3b49dfd17b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4004aac9b2a4373a20e8ebcd0b80a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21529984fbaa0c964a0bf7cd8d97f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de80056c578b7bd0078af765b41e51b.png)
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2023-10-11更新
|
136次组卷
|
2卷引用:云南省大理白族自治州民族中学2023-2024学年高一上学期10月月考数学试题
名校
解题方法
3 . 已知
,且
.
(1)求
的最小值;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f17b382e59a5e5e5d0bd6db76916b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508a1ad44c5b53060befdf46cb13425d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15320eff943edb23febf7bd2cc243ca0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785d443c44579cf7026cf2cda9d878a2.png)
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名校
解题方法
4 . 阅读材料:
(1)下侧图片中为初中化学实验试题,请用数学中不等式知识解释题中“氯化钠加得越多,溶液越咸”这句话,用
代替溶质,
代替溶液,
代替添加的溶质并证明.
(2)结合(1)中的不等式关系与
,
,则有
的不等式性质.解答问题:已知
,
,
是三角形的三边,求证:
.
(1)下侧图片中为初中化学实验试题,请用数学中不等式知识解释题中“氯化钠加得越多,溶液越咸”这句话,用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)结合(1)中的不等式关系与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf7adcc976209d4b686156120bea276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e7456f61a8aff7614ca77f6210ba54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01721633154e61aa2650bf0b8b10e666.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/30/2a31b301-f31d-43f1-b62d-80bdc37ca773.png?resizew=216)
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解题方法
5 . 设
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada798eeba5bd19d497bfd0741afd00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a737185eb85ca24cf66409ce1e09bc.png)
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6 . (1)已知
,
,求
,
取值范围;
(2)已知
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc74b6aa0043d0106302a26179d736c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915ad1a611b5edd3e8f743a9e2e234aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ec08be6e5edde3502faba89bb505e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11463fb55a886da699f1656987ca0360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23669c954bdabf8524276a958990c1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e033c003212cdc4c90f3e7c2421f7bb.png)
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名校
7 . 已知函数
.
(1)求不等式
的解集;
(2)若
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21290e92a52eef28acdab49be9d05a33.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de0fb6a05a00e69c861cbc5c00a8acc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572b90c73f3b843eac796e704359323b.png)
您最近一年使用:0次
2023-10-09更新
|
438次组卷
|
3卷引用:陕西省西安市2024届高三上学期10月模拟理科数学试题
解题方法
8 . 对于函数
与
,记集合
;
(1)设
,
,求
;
(2)设
,
,
.如果
,求实数
的取值范围;
(3)设
,
,若存在两个负实数
,
(
),使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5797e9e58e4a1d9d66a15cad9fb067.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897a078c9641d987c2187db279e241c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c2f0f6057426020708ecd49e5b197e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00606a7fafb0a948a31739bfe79fcae.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c363eaede7ba4628518660f695f1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdf334aa48d59950a2bd3c7bd3d6ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a95308c3cd363d2e706e78eb8629928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f141c88a96d3eaf70d6570f8bc0086b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dca80f189a0953676e46ec1291dd17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bef6529fc7170b5dee77c2c205e7ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd1d36c3c069c7e50674e3bdfa2d1fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 对在直角坐标系的第一象限内的任意两点作如下定义:若
,那么称点
是点
的“上位点”,同时点
是点
的“下位点”.
(1)试写出点
的一个“上位点”坐标和一个“下位点”坐标;
(2)已知点
是点
的“上位点”,判断点
是否是点
的“下位点”,证明你的结论;
(3)设正整数
满足以下条件:对集合
内的任意元素
,总存在正整数
,使得点
既是点
的“下位点”,又是点
的“上位点”,求满足要求的一个正整数
的值,并说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2356786e0b902deee0fac769f27dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b807b9b8da58da1b6778865efccb01b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b807b9b8da58da1b6778865efccb01b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
(1)试写出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b807b9b8da58da1b6778865efccb01b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc2e5975afec220e764b66e49694beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
(3)设正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dacb3bc44cffd3717db1f0d9fd8f7d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2079202f6a373961631b33c2e0b81e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ceb955cff0a243b938fe2d2d1e8a5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a287703170ebf98ba2b52e4f0beb43f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3766ab172f0d65eab0ab0ae1fd84d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
10 . 已知函数
的最小值为3,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7312128c952aefcdcbb3c73edb753df.png)
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