名校
解题方法
1 . 已知函数
,对任意的
有
,且
的最大值为
.
(1)求
的值;
(2)若
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d03b273b7ef759a13b182c73a177a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5426cfddad035627e90cf14078220e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b809c7fd4d5d853c923bfa2e5a855d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557bf8537dbdc00c6a1d1a0bae6d5033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知公比为
的等比数列
的前
项和为
,且满足
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5451b155d749079fab94690db3668c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993f3485d6030a58d52f839760f2624d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
3 . 已知函数
满足
,且
.
(1)求
的解析式,并判断
的奇偶性;
(2)若对任意
,
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655edc93542cc9c0a3bad2bc4ac66b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926634d86f899dab37e01f0a7e4bd511.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fc4b242b118b3ba3a246d337cdc834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a655cd454807e618127ffb1e3c34d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5981abaf2c2b80a8b8dfc54edb12fa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
,
,
均为正数,且
.
(1)证明:
;
(2)若
,求
,
的值,并比较
,
,
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9d6b8819acd3255b5847b232b22a68.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621f48abde2109af335639d0bfb38560.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03516bfa3479baee370ac5b4f55dee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1d2e5599453f8d4c04369bc8f79962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43557b716fa38a8aeca410d7c8ba1909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d377db95a1606ee92ebfd986625fc5.png)
您最近一年使用:0次
名校
5 . 某皮鞋厂从今年1月份开始投产,并且前4个月的产量分别如下表所示.
由于产品质量好,款式新颖,前几个月的产品销售情况良好.为了推销员在推销产品时,接受订单不至于过多或过少,需要估测以后几个月的产量.厂里分析,产量的增加是由于工人生产熟练和理顺了生产流程.厂里也暂时不准备增加设备和工人.如果用
表示月份,用
表示产量,试比较
和
哪一个更好一些?(函数模型
,要求用第1,4月份的数据确定
,
;函数模型
,要求用第1,2,3月份的数据确定
,
,
,精确到0.01,
,
)
月份 | 1 | 2 | 3 | 4 |
产量(万双) | 1.02 | 1.10 | 1.16 | 1.18 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee3cbc5bd8c191b020f90da71a14f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57afc9dd83b97ff76bc579430e04f0b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee3cbc5bd8c191b020f90da71a14f2d.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/57afc9dd83b97ff76bc579430e04f0b8.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/52881be613aa404e553da30d8987cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
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解题方法
6 . 如图,几何体
为直四棱柱
截去一个角所得,四边形
是菱形,
,点
为棱
的中点.
平面
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52eab6de89f4d4e69650e94e0968744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecc33c358ffa4fee3a57dd3468065f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611db7041a52b0c0967a2e6f7577285c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e2c643dd6501b20c46c5c6527a2634.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0de3aeeff0480033ffd050165baf82b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
您最近一年使用:0次
2024-05-23更新
|
534次组卷
|
3卷引用:海南省2022届高三高考全真模拟卷(四)数学试题
解题方法
7 . 等差数列
的前
项和为
,等比数列
中,
.
(1)求
和
.
(2)若数列
满足
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027a05116c99ff9981de950a629a5cf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f365f25810731833bfa7664fe9047e0b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2422ee7e8db43a9c680c862e0d8c19f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
解题方法
8 . 几何体
中,
是正方形,
是直角梯形,
,
,
,
,
,
为
的中点.
平面
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
.
(2)求几何体
的体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca9eb9126c7053574c62b897582ad49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d2e5e5ec3caea31e3928183eebbc2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb52f9b226b1db3f6f9f055948bd38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e343510d82161bb1da2f17403f5d1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50942a23ce671c3af03baf4ee1219a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613dedf2d90e58591b7ac4a250ac7b5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbef3d7ab3df5cfeb82ca8e34379dbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb26696808cd8878f19ae3d69484b042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)求几何体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca9eb9126c7053574c62b897582ad49.png)
您最近一年使用:0次
解题方法
9 .
中,内角
所对的边分别为
.
(1)求
的值.
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e30c0a5c92f50dce1f7624709950ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e0cc117a997e6235580c221babf5d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88f01c26ea406d60077bf97debe911c.png)
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10 . 已知曲线
的参数方程为
(
为参数),曲线
的直角坐标方程为
.以原点O为极点,x轴的正半轴为极轴建立极坐标系.
(1)求曲线
和
的极坐标方程;
(2)若直线l:
(其中
)与曲线
,
的交点分别为A,B(A,B异于原点),求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b951b1898079b558ccfb555da9a33d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7347b88954b4a322f82c38a6af61e5c6.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272940da1f0e6c00113c9095651e0e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ab1c19147ff7ccc1050c745ef08b47.png)
您最近一年使用:0次
2024-04-24更新
|
524次组卷
|
9卷引用:陕西省西安市长安区第一中学2022-2023学年高三上学期第一次质量检测文科数学试题