名校
解题方法
1 . 对任意
,不等式
恒成立,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d31be7b35955d4f0ab4cab80bec7edd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 若函数
在![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_______________ 时取得最小值,最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23e98d012720513ab5de16f211983d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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3 . 在
中,
,
,
与
交于点
,
,
,用
和
表示
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4713985fd15713e52c5001059345c.png)
______ ;过点
的直线
交
,
于点
,
,设
,
(
,
),则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e7376fefe18d435f4adbb6226d7aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f09a9d6f118c19854f944a8a258b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7239b3f2d88c2e45e17e5de9ae1a332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4713985fd15713e52c5001059345c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fa908112806dc176b8abdc3b3aaa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a93a467f11c29aa3ec6124398b1c5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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4 . 在
中,M是边BC的中点,N是线段BM的中点.设
,
,试用
,
表示
为______ ,若
,
的面积为
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b9d8a08fc52c31cc1a7f527d18b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f386f5b56b07b96f2600da1be15414a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8962b0c33df0302e741501c1491bf643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32220fd969663f42cd619f8cc8b355c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e6f0e94393fc6bbd9b4b83ede534ac.png)
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名校
解题方法
5 . 已知
,
且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f257b71e2b7886aadf7f1ebc809c10b1.png)
A.6 | B.7 | C.8 | D.9 |
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6 . 已知关于
的不等式
的解集是
,则下列说法中正确的个数为( )
①关于
的不等式
的解集是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43d10402ece3fe56a9ec5899357f4e0.png)
②
的最小值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
③若
有解,则实数m的取值范围是
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
④当
时,
的值域是
,则
的取值范围是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e89f03984c63f438c5d8d44f768a3f.png)
①关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e045220e5071c3a7adc357816db322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43d10402ece3fe56a9ec5899357f4e0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3507dd5b819b8e80bdd344580ea831e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2dc4ef827105ab4d0f46c62979819b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa204d6b5183969f6da37f369eb7293d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fe4269fe210492469ea88634ed3bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3527fb8e629dbd2389c186121d9314e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aaeb1f8daaa2e6659b752992f8fc3d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
A.1 | B.2 | C.3 | D.4 |
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7 . 已知正实数a,b满足
,则
的最小值为______ ;若不等式
对满足条件的a,b恒成立,则实数m的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c03256f5374101853665aa4c1934e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3910a0f217d8109b9467f740fc84a73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f05b7c0df8c8153c4d714fc9f5b9341.png)
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解题方法
8 . 已知函数
,
的图象恒过定点A,若点A在一次函数
的图象上,其中m,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4250ec1d917f79063aec24a24cad892b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00f7581c13ca8ccff7f19b95bcd2fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e62ba44cbfec6823ebc1f0c7457fb.png)
A.1 | B.![]() | C.2 | D.4 |
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名校
解题方法
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7abe4c4c0f6c1e61384a03c6658d0be.png)
(1)当
时,解关于x的方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
(2)若函数
是定义在R上的奇函数,求函数
的解析式;
(3)在(2)的前提下,函数
满足
若对任意
且
不等式
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7abe4c4c0f6c1e61384a03c6658d0be.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada8982dbadf4e512f447f6293133334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)在(2)的前提下,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27026cd5de1a456f9793c4e501c702ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7817fbdb25a683d107e0210c89985638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5894bb4764307b17fc72e430262c2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf10c55340c16450cdc1c809fd328ab.png)
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2023-11-13更新
|
1303次组卷
|
2卷引用:天津市滨海新区塘沽第一中学2023-2024学年高一上学期11月期中数学试题
名校
解题方法
10 . 设实数
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af2d38cf365e4389c0d3f18ecfa890e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b97818db86c5b893eee3bc4365f1184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ad49024afac575989a816db7592bd0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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