1 . 实数
满足
.
(1)证明:
;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ae5648bcfccbe0b2f49c69a66793b0.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df63cb762aa1710337f49a3d086f09cf.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e494cb3e38e23609402bf48637b20585.png)
您最近一年使用:0次
解题方法
2 . 已知
均为正数,函数
的最小值为3.
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaac721898793d14a799c79db3658685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a408b1d9e3e39b48f8e75ccfda2bea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfaab39aeb073af04334f8ccb9bdd507.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5958b88cd14aa8952d5cb059f1405a5.png)
您最近一年使用:0次
3 . 设集合
是一个非空数集,对任意
,定义
,称
为集合
的一个度量,称集合
为一个对于度量
而言的度量空间,该度量空间记为
.
定义1:若
是度量空间
上的一个函数,且存在
,使得对任意
,均有:
,则称
是度量空间
上的一个“压缩函数”.
定义2:记无穷数列
为
,若
是度量空间
上的数列,且对任意正实数
,都存在一个正整数
,使得对任意正整数
,均有
,则称
是度量空间
上的一个“基本数列”.
(1)设
,证明:
是度量空间
上的一个“压缩函数”;
(2)已知
是度量空间
上的一个压缩函数,且
,定义
,
,证明:
为度量空间
上的一个“基本数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9661053f3ef4cfa926e5d5fd5c6555f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a1f35848a78a4f00c21500e2610e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171102a883b22fe6ca578efc8926f5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171102a883b22fe6ca578efc8926f5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
定义1:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974cd5eed14d5002f6155dced3e62432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034e4d52bd5ae47074a93c0647f67399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9661053f3ef4cfa926e5d5fd5c6555f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f1ada25dccde00dfff2525360188a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
定义2:记无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da889327e4b9a31336a88e6da53334d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859cf5bf57a50d2da19c0bb926ce9c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e61e145e5a49ebbe72c3b9ba1f7cdde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6f5c5649285cbabda20a452db04f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8557a6d85a35cd171e43087afd1b0576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c95a62ca5cb2f440792632ec36595b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd6ebf0a370d321e89a8f9921041a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae4c872929a492d8bcd9e649f190a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8671bcd155dd76d76d83573c6f20e930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfb19f0c37a72b33083ae9319f11a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6961967d7e48061a9cbb14f597e73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae4c872929a492d8bcd9e649f190a66.png)
您最近一年使用:0次
2024高三下·全国·专题练习
解题方法
4 . 已知函数
.
(1)若
,作出
的图象;
时,若对任意的
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42187371907f47ea17856e30507e9cc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e1092e7d32c93b8aae548758e31dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024高三下·全国·专题练习
解题方法
5 . 已知函数
.
的图象;
(2)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a9a8d2026a4c4813da880aa52f2be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b8eaf89a3bea7726b08f4925256bfc.png)
您最近一年使用:0次
2024·全国·模拟预测
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)若
的最小值为t,
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e66aa8e2497ffa025305b642a06f80.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d7991a82156b932b516e117c259931.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](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/514c4194c5558a8e1209e20ae31be091.png)
您最近一年使用:0次
2024高三下·全国·专题练习
解题方法
7 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若不等式
有解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8944834385332001a50dbf8449caa34a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8b28bb1fe0acb1f2d1643372e70426.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a2eac1da76768749f2834a12548eea.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
8 . 已知不等式
的解集为
.
(1)求实数
的取值范围;
(2)若
为负实数,且
的最大值为
,正实数
,
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668863402279f6ba5bc39a3f1c26196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.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/eb57d0d057d57fcdc3e47a7d3e59fdd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b11d5d6efe357f77376cdec02ac85d.png)
您最近一年使用:0次
2024·全国·模拟预测
9 . 已知函数
.
(1)求不等式
的解集;
(2)若不等式
的解集为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc820f7d85bbe9c57d6eaed1b471c5f.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a8a9f4f0d6590de86becb733bd1b6b.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00506b3c9d91ce3d0348de1f6115a97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024高三下·全国·专题练习
名校
解题方法
10 . 已知
,且
.
(1)求
的最小值;
(2)当
时,不等式
恒成立,求实数c的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b40b1544e62be8b9e9f4dc9f2c0c74.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb769d8be8b041c5f9fe95c39c16065c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51c162b438a502aff418a15f19c810f.png)
您最近一年使用:0次
2024-04-26更新
|
108次组卷
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4卷引用:2024年普通高等学校招生全国统一考试数学理科押题卷(六)
(已下线)2024年普通高等学校招生全国统一考试数学理科押题卷(六)(已下线)2024年普通高等学校招生全国统一考试数学文科押题卷(七)宁夏回族自治区石嘴山市第三中学2024届高三第四次模拟考试理科数学试题宁夏回族自治区石嘴山市第三中学2024届高三第四次模拟考试文科数学试题