解题方法
1 . 已知过点
的曲线
的方程为
.
(1)求曲线
的方程;
(2)点
为曲线
与
轴正半轴的交点,不过点
且不垂直于坐标轴的直线
交曲线
于
、
两点,直线
、
分别与
轴交于
、
两点.若
、
的横坐标互为倒数.问:直线
是否过定点?如果是,求出定点坐标;如果不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a7a78a0cb55d2396f7213432a86b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee76c72dc3871df840b23bb43560cb.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10109d34ef06c3e721fd2c7128c5b9ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e4b0ddfa5aec71d6df83e574b56150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
解题方法
2 . 从①第4项的系数与第2项的系数之比是
;②第3项与倒数第2项的二项式系数之和为36;这两个条件中任选一个,再解决补充完整的题目.
已知
(
),且
的二项展开式中,____.
(1)求
的值;
(2)①求二项展开式的中间项;
②求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d297eab7380f6a28ec010218d9ab4ba1.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26f81435da619846f6e2d8ed991bfbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c65ab13c42b4866d8e6035a9bc76326.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)①求二项展开式的中间项;
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2265a8663032dd8eefc3c66a04a98da.png)
您最近一年使用:0次
2023-12-25更新
|
1176次组卷
|
12卷引用:四川省攀枝花市2022-2023学年高二上学期期末考试数学(理)试题
四川省攀枝花市2022-2023学年高二上学期期末考试数学(理)试题(已下线)高二上学期数学期末模拟卷(二)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)(已下线)模块一 专题3 计数原理、统计B提升卷江西省景德镇市景德镇一中2023-2024学年高二上学期1月考试数学试题江西省景德镇市乐平中学2023-2024学年高二上学期期末数学试题(已下线)高二数学开学摸底考01(北师大版,范围:选择性必修第一册全部)-2023-2024学年高二数学下学期开学摸底考试卷(已下线)第六章 计数原理(单元重点综合测试)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第三册)(已下线)第六章 计数原理(单元重点综合测试)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第二册)(已下线)第04讲 6.3.1二项式定理+6.3.2二项式系数的性质(3)江西省丰城市第二中学2023-2024学年高二下学期4月月考数学试题福建省厦门市外国语学校2023-2024学年高二下学期4月份阶段性检测数学试题河北省唐山市滦南县2023-2024学年高二下学期期中质量检测数学试卷
3 . 攀枝花属于亚热带季风气候区,水果种类丰富.其中,“红格脐橙”已经“中华人民共和国农业部2010年第1364号公告”予以登记,根据其种植规模与以往的种植经验,产自该果园的单个“红格脐橙”的果径(最大横切面直径,单位:
)在正常环境下服从正态分布
.
(1)一顾客购买了10个该果园的“红格脐橙”,求会买到果径小于
的概率;
(2)为了提高利润,该果园每年投入一定的资金,对种植、采摘、包装、宣传等环节进行改进.如图是2013年至2022年(单位:万元)与年利润增量y(单位:万元)的散点图:
关于
的两个回归模型;
模型①:由最小二乘公式可求得
与
的线性回归方程:
;
模型②:由图中样本点的分布,可以认为样本点集中在曲线:
的附近.对投资金额
做交换,令
,且有
,
,
,
.
(ⅰ)根据所给的统计量,求模型②中
关于
的回归方程;
(ⅱ)根据下列表格中的数据,比较两种模型的相关指数R2,并选择拟合精度更高、更可靠的模型,预测投资金额为20万元时的年利润增量(结果保留两位小数).
附:若随机变量
,则
,
;
样本
(
)的最小二乘估计公式为
,
;
相关指数
.
参考数据:
,
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f3bf70722b22983c120d008d097602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b4592cf2fde3d441edf8670e93fa3c.png)
(1)一顾客购买了10个该果园的“红格脐橙”,求会买到果径小于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b342a8ec8dfe7b958378d357d41e095b.png)
(2)为了提高利润,该果园每年投入一定的资金,对种植、采摘、包装、宣传等环节进行改进.如图是2013年至2022年(单位:万元)与年利润增量y(单位:万元)的散点图:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
模型①:由最小二乘公式可求得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1d7987a5a81dcf97e0c6f9b73c0605.png)
模型②:由图中样本点的分布,可以认为样本点集中在曲线:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9ace7e415e484905e4e393631ca77c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ae9d60c249c43595f349d5a092f63f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d9fd9234ac16686032ade64b8551f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785c3c783beb85be268b0c45f8de1f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737a377813401566fb947328849f19dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcaa1930a78164914a365bf43be07bf.png)
(ⅰ)根据所给的统计量,求模型②中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(ⅱ)根据下列表格中的数据,比较两种模型的相关指数R2,并选择拟合精度更高、更可靠的模型,预测投资金额为20万元时的年利润增量(结果保留两位小数).
回归模型 | 模型① | 模型② |
回归方程 | ||
102.28 | 36.19 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8471b1bd5c53256f122a0f57d6ecf628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b820c2f066efdaa998dbcca98888fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c48b782985357c0d7445279b874813f.png)
样本
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b27d0521f9fc320298bccaaa784fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab46d077ba3d6e13fa1f6a5aaa0ce6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4b44bd0a20858b74d9a17c4ca96200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb43dafc697ce309e1c2df1d7f73826b.png)
相关指数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca650b4cc78907597ddba66a2421d49a.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0d150d9af041b7f99a6658ed1f51f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eabdfcbc03a1d0b223555af8dbf4315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0591d9f78b4f4f78c5bd6baaa602ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3616e69114889d5d02099b6598a57136.png)
您最近一年使用:0次
名校
4 . 已知函数
.
(1)当
时,求
的单调区间;
(2)设
,当
有两个极值点
,
时,总有
成立,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc64ef255eed148ba560aa5a4e5d0f1e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f7866dee992a0ffedd046637b7b9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd888afdcfdb3e91a157d50f65e915e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78cd4f6503e99281832744e80bce8928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525567a8f3ec552dabc964f0b592d650.png)
您最近一年使用:0次
2023-11-28更新
|
345次组卷
|
2卷引用:四川省攀枝花市2024届高三上学期第一次统一考试理科数学试题
5 . 已知定义在
上的奇函数
恒有
,当
时,
,已知
,则函数
在
上的零点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621f1e1a9e75ffbd8e4ada7d261ad662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9c57683e103798732222a1c8e0bcb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a21e43679392b63a041c1bd21603af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7d82191a1c362ffb4e7cacf20e1c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad38b042b5790c6fac8bc75d9de65ba3.png)
A.4 | B.5 | C.3或4 | D.4或5 |
您最近一年使用:0次
6 . 在平面四边形
中,
,
,
,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea16ceca816f7d3d50650af141baf42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2d3f02cb9007cd4a90ea30f6dd8181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3463a5540548211d0b5bcfe11aeded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4388577dc452ba9d9caf47d81e6f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
A.![]() | B.2 | C.3 | D.![]() |
您最近一年使用:0次
7 . 已知函数
.
(1)当
时,求
的单调区间;
(2)设函数
,当
有两个极值点
时,总有
成立,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc64ef255eed148ba560aa5a4e5d0f1e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f7866dee992a0ffedd046637b7b9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48d86a9d6ae0f593a4d6108b1709a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
8 . 如图,在菱形
中,
,
,将
沿
折起,使A到
,点
不落在底面
内,若
为线段
的中点,则在
翻折过程中,以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbaccd578a43b2397c8bdd50592fa07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
A.存在某一位置,使得![]() |
B.异面直线![]() ![]() |
C.四面体![]() ![]() |
D.当二面角![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-07-27更新
|
531次组卷
|
4卷引用:四川省攀枝花市2022-2023学年高一下学期期末数学试题
四川省攀枝花市2022-2023学年高一下学期期末数学试题辽宁省沈阳市第一二〇中学2023-2024学年高二上学期期初考试数学试题(已下线)第四章 立体几何解题通法 专题二 升维法 微点3 升维法综合训练【培优版】(已下线)专题9 立体几何中折叠问题【练】(高一期末压轴专项)
解题方法
9 . 已知椭圆
的焦点坐标为
和
,且椭圆经过点
.
(1)求椭圆
的标准方程;
(2)椭圆
的上、下顶点分别为点
和
,动点
在圆
,动点
在椭圆
上,直线
的斜率分别为
,且
.
(ⅰ)证明:
三点共线;
(ⅱ)求
外接圆直径的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813f9a2814013e2407b5b1c216159359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fd15503ee692f8286b0312f7c6f0cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748902ce5e3dc5279279d58bf14610d6.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df57efff473b3cfeb8503796b7d6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124d17c76931baa8130c9e4a4a8804fe.png)
(ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b284b050a9226828f664fbb0a5c7fc9c.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
您最近一年使用:0次
解题方法
10 . 已知函数
在
处的切线方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b2e8c82a77c143d42f9ac483b13147.png)
(1)求实数
,
的值;
(2)设函数
,当
时,
的值域为区间
的子集,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c3f016897d3a48b9284ee25be6b864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b2e8c82a77c143d42f9ac483b13147.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd240ec072a409d2b5508d99ba9fd5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503a002dd51f5338c4bc0e15fb201c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cdc571b77c86009e70c4a78d04d4158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
您最近一年使用:0次
2023-04-30更新
|
434次组卷
|
2卷引用:四川省攀枝花市2023届高三第三次统一考试理科数学试题