名校
解题方法
1 . 已知向量
,
,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c958b65bafe9caae7ec41be3a7085527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27481c3e3f0a647379ecd926e616ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
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7日内更新
|
170次组卷
|
3卷引用:陕西省西安市第一中学2023-2024学年高三下学期高考考前模拟考试理科数学试题
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2 . 已知三个实数
、
、
,其中
且
,则
的最大值为______ .
![](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/b0105cd0b15e052014d66913a02e333d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff263424cc626096b7339a284a579d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93de75982fcf1bea162d367c2ddbb613.png)
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3 . 给定定点
,对任意可能的
,及函数
的图象上的任意可能的点
,
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71885f023172807ad43f2c9a670aa960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6499f194456d6ac45326a33c74fd781b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4323dcce28ed1206e6ff65600d0dc9e7.png)
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4 . 甲船在
岛的正南方向
处,
千米,甲船以4千米/小时的速度向正北方向航行,同时,乙船自
岛出发以6千米/小时的速度向北偏东
的方向驶去,航行时间不超过2.5小时,则当甲、乙两船相距最近时,它们航行的时间是______ 小时.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
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5 . 已知动点
的轨迹方程为
,其中
,则
的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7390d8560864f6127549e9e80c4798f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ffc52238841c692ce274ce18af7e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d7bd0ad38075177574bfb7ca0df46.png)
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6 . 已知函数
,
和
为
的两个相邻零点,将
的图象向右平移
个单位长度,得到函数
的图象,则函数
的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad51d8ee22f856a61d55db1f05b9c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd9bb0a0ce6bb97c05dbf5b2aa64f98.png)
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7 . 如图,在扇形
中,半径
,
,
在半径
上,
在半径
上,
是扇形弧上的动点(不包含端点),则平行四边形
的周长的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3dfcd8aff269dd5aba398816490c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
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2024-05-02更新
|
269次组卷
|
5卷引用:广东省梅州市曾宪梓中学2023-2024学年高一下学期期中联考数学试卷
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8 . 若当
时,
无限趋近于一个确定的值,则称这个确定的值为二元函数
在点
处对
的偏导数,记为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ff26e2362e1dec1a5a9b0ac01967ec.png)
若当
时,
无限趋近于一个确定的值,则称这个确定的值为二元函数
在点
处对
的偏导数,记为
,即
.已知二元函数
,则f'm,nx+f'm,ny的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965e4bba42c1945bf711ef186027f52a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5bfc316ab38c6e4b8f5a9fa66cd29b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1595f06925491766c4e26be4c83085fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136620de908d460adedad82e773c2480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618932fbfef25e4dc46ed1e9bacefb9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ff26e2362e1dec1a5a9b0ac01967ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89c85c3e1599b32abfb0c110eeb8c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8942f9d432eef33b6859677bbe3693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1595f06925491766c4e26be4c83085fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136620de908d460adedad82e773c2480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d00c5eb079d0e588fba56ba585f2ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdd9174f63888a87df0aab6c3921824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f804c95319cc42dc5222ff088809bd4.png)
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解题方法
9 . 在长方体
中,
,分别在对角线
上取点
,使得直线
平面
,则线段
长的最小值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de266886db89ca563b1d68f6327e810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f80007f24e1f975ff9664fb147a66ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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10 . 某商店销售
两款商品,利润(单位:元)分别为
和
,其中
为销量(单位:袋),若本周销售两款商品一共20袋,则能获得的最大利润为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259e5006ea54b62eea987ca259eaa8e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264b75b033160540ca40d9d5b4d06104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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