名校
解题方法
1 . 某汽车销售店以
万元每辆的价格购进了某品牌的汽车.根据以往的销售分析得出,当售价定为
万元/辆时,每年可销售
辆该品牌的汽车,且每辆汽车的售价每提高
千元时,年销售量就减少
辆.
(1)若要获得最大年利润,售价应定为多少万元/辆?
(2)该销售店为了提高销售业绩,推出了分期付款的促销活动.已知销售一辆该品牌的汽车,若一次性付款,其利润为
万元;若分
期或
期付款,其利润为
万元;若分
期或
期付款,其利润为
万元.该销售店对最近分期付款的
位购车情况进行了统计,统计结果如下表:
若X表示其中任意两辆的利润之差的绝对值,求X的分布列和数学期望.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)若要获得最大年利润,售价应定为多少万元/辆?
(2)该销售店为了提高销售业绩,推出了分期付款的促销活动.已知销售一辆该品牌的汽车,若一次性付款,其利润为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212d6e1f4d7dcc0e5e902c46e3b1dfcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
付款方式 | 一次性 | 分 | 分 | 分 | 分 |
频数 |
您最近一年使用:0次
2024-01-26更新
|
430次组卷
|
3卷引用:四川省成都市树德中学2024届高三上学期期末数学(理)试题
四川省成都市树德中学2024届高三上学期期末数学(理)试题(已下线)第七章 随机变量及其分布(基础卷)-2023-2024学年高二数学下学期重难点突破及混淆易错规避(人教A版2019选择性必修第三册)江西省宜春市宜丰中学创新部2023-2024学年高一下学期6月月考数学试题
名校
2 . 已知函数
,
.
(1)若函数
只有一个零点,求实数
的取值所构成的集合;
(2)已知
,若
,函数
的最小值为
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de31991e435bd7f80b8ac4f50b3f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc774a9ac8258cfc1b6f7f5378fb7406.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804125ef5ede01523a3f7d95a35f964b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51dedd7e4a202a2e078dfa7c6017c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b2ed621d7f11decf6432e43c3cc5ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c21c961479a9ac78f7c40cc7564fbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c21c961479a9ac78f7c40cc7564fbb2.png)
您最近一年使用:0次
2024-01-26更新
|
520次组卷
|
3卷引用:四川省成都市树德中学2024届高三上学期期末数学(理)试题
名校
3 . 2020年1月15日教育部制定出台了“强基计划”,2020年起不再组织开展高校自主招生工作,改为实行强基计划,强基计划主要选拔培养有志于服务国家重大战略需求且综合素质优秀或基础学科拔尖的学生,据悉强基计划的校考由试点高校自主命题,校考过程中通过笔试,进入面试环节 .现随机抽取了100名同学的面试成绩,并分成五组:第一组
,第二组
,第三组
,第四组
,第五组
,绘制成如图所示的频率分布直方图.已知第三、四、五组的频率之和为
,第一组和第五组的频率相同.
,
的值;
(2)估计这100名同学面试成绩的中位数(数精确到0.1);
(3)在第四、第五两组中,采用分层抽样的方法从中抽取5人,然后再从这5人中选出2人,求选出的两人来自不同组的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cad116e629ef7912a71b7f31c9c74b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca161d31588bcb6508e38ebe701bfa38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557f292772f12decc9906937afa894b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/742ea904ed8035b74bedd5097c709ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f77d01bdd4235c7d390eb81f5e0da6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ee5940db3eca3be22205d12bae26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)估计这100名同学面试成绩的中位数(数精确到0.1);
(3)在第四、第五两组中,采用分层抽样的方法从中抽取5人,然后再从这5人中选出2人,求选出的两人来自不同组的概率.
您最近一年使用:0次
名校
4 . 为参加凉山州第八届“学宪法讲宪法”演讲比赛,某校组织选拔活动,通过两轮比赛最终决定参加州级比赛人选,已知甲同学晋级第二轮的概率为
,乙同学晋级第二轮的概率为
.若甲、乙能进入第二轮,在第二轮比赛中甲、乙两人能胜出的概率均为
.假设甲、乙第一轮是否晋级和在第二轮中能否胜出互不影响.
(1)若甲、乙有且只有一人能晋级第二轮的概率为
,求
的值;
(2)在(1)的条件下,求甲、乙两人中有且只有一人能参加州级比赛的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)若甲、乙有且只有一人能晋级第二轮的概率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16d09692f7b0fb5633964437202d21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)在(1)的条件下,求甲、乙两人中有且只有一人能参加州级比赛的概率.
您最近一年使用:0次
2024-01-25更新
|
676次组卷
|
3卷引用:四川省凉山州2023-2024学年高二上学期期末检测数学试卷
5 . 如图,在四棱锥
中,底面
为直角梯形,
,
,侧面
面
,
,
,
为
的中点.
面
;
(2)若
的大小为
,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b72c6d2ae4924f930c437542b3356a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59bafaec1cbb31d644a0df6bbd4fe4f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c753cb1eb73fd8d136d00462970797.png)
您最近一年使用:0次
名校
6 . 已知圆
的参数方程为
(
为参数),以坐标原点为极点,
轴非负半轴为极轴建立极坐标系.
(1)求圆
的极坐标方程;
(2)若直线
的参数方程是
(
为参数,
为直线
的倾斜角),
与
交于A,
两点,
,求
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f81f6cf804581cb10e3fb0dbf9976e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de14a418f0c2f3d6cd7092868c75502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5b87767416b5c339a57f05c0a6f19b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024-01-25更新
|
472次组卷
|
3卷引用:四川省成都市石室中学2024届高三上学期期末数学(理)试题
名校
解题方法
7 . 为加强学生劳动教育,成都石室中学北湖校区将一块四边形园地
用于蔬菜种植实践活动. 经测量,边界
与
的长度都是14米,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/17873f8b-9530-401b-8e84-ca27609a461b.png?resizew=138)
(1)若
的长为6米,求
的长;
(2)现需要沿实验园的边界修建篱笆以提醒同学们不要随意进入,问所需要篱笆的最大长度为多少米?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b0382c28547d3834ca71f3f0677695.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/17873f8b-9530-401b-8e84-ca27609a461b.png?resizew=138)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)现需要沿实验园的边界修建篱笆以提醒同学们不要随意进入,问所需要篱笆的最大长度为多少米?
您最近一年使用:0次
2024-01-25更新
|
524次组卷
|
5卷引用:四川省成都市石室中学2024届高三上学期期末数学(理)试题
名校
解题方法
8 . 已知椭圆
的离心率为
,抛物线
在第一象限与椭圆
交于点
,点
为抛物线
的焦点,且满足
.
(1)求椭圆
的方程;
(2)设直线
与椭圆
交于
,
两点,过
,
分别作直线
的垂线,垂足为
、
,
与
轴的交点为
.若
、
、
的面积成等差数列,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e48d1edbfb6a5a48f9a95551d1dbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7fc8e284e4aafd93a630d50a53930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212c59b6ab1e256b363fc1f1ff3f5fbe.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303094682b317daea83be885d1c7ff4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fac56192b8a935a1a0d9ba9ddea0253.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d92d90ae2149f207a6c172fba23ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5261a9730779339dc71818b9b6eff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5c54847fbd176b1e2063a8f2e2d802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-25更新
|
859次组卷
|
4卷引用:四川省成都市石室中学2024届高三上学期期末数学(理)试题
名校
解题方法
9 . 某企业在招聘员工时,应聘者需要参加测试,测试分为初试和复试,初试从
道题中随机选择
道题回答,每答对题得
分,答错得
分,初试得分大于或等于
分才能参加复试,复试每人回答
两道题,每答对一题得
分,答错得
分.已知在初试
道题中甲有
道题能答对,乙有
道题能答对;在复试的
两道题中,甲每题能答对的概率都是
,乙每题能答对的概率都是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求甲、乙两人各自能通过初试的概率;
(2)若测试总得分大于或等于
分为合格,请问:在参加完测试后,甲、乙合格的概率谁更大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求甲、乙两人各自能通过初试的概率;
(2)若测试总得分大于或等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
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3卷引用:四川省宜宾市普通高中2023-2024学年高二上学期学业质量监测数学试卷
四川省宜宾市普通高中2023-2024学年高二上学期学业质量监测数学试卷广东2024届高三数学新改革适应性训练三(九省联考题型)(已下线)第六章 计数原理(单元测试)-2023-2024学年高二数学同步精品课堂(人教A版2019选择性必修第三册)
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10 . 已知函数
,
.
(1)求函数
在区间
上的最小值;
(2)若函数
,且
的图象与
的图象有3个不同的交点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1462a1906c6bc21913902ea0e4a7ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49723fcae368064d6e4d44fa4bad1ae4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e694d52a084565a4cc3d689d4a32e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b58435e488fb30016f2109f4ff060b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203dba0b34d75467e6a0d283d29f5ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f4ab890a5f38debf3a5ceb1648ed1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024-01-24更新
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273次组卷
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2卷引用:四川省南充市2023-2024学年高一上学期期末学业质量监测数学试题