1 . 设椭圆
:
的上顶点为
,下顶点为
,焦距与短轴长相等,过
点的直线
与椭圆
交
点,点
不与上、下顶点重合.
(1)求离心率
;
(2)设点
与点
关于
轴对称,设直线
斜率为
,直线
的斜率为
,求
的值;
(3)若直线
过右焦点,且
,求椭圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](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/ac047e91852b91af639feec23a9598b2.png)
(1)求离心率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d405fe7e7fe6dacdcb912a46e67d8a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
解题方法
2 . 如图在正方形
中,
为
中点,设
.
(1)求
;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6293a2528570eda7fef7c784efc7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3c616a942318302c75de0c1cb912bf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/2/986dafc8-9acb-4280-953e-72c13b92af3a.png?resizew=161)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af1a331a68b888bef4469700f08adba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fae886539d52bddc6f7b45332d4018c.png)
您最近一年使用:0次
解题方法
3 . 三个家庭组织一次聚会,每个家庭恰好都有一男一女两个孩子,如果从6个孩子中随机地选取2人参加智力游戏,那么,
(1)写出样本空间;
(2)求下列事件的概率:
(ⅰ)A=“2个孩子来自于同一个家庭”;
(ⅱ)B=“2个孩子都是男孩”
(1)写出样本空间;
(2)求下列事件的概率:
(ⅰ)A=“2个孩子来自于同一个家庭”;
(ⅱ)B=“2个孩子都是男孩”
您最近一年使用:0次
名校
解题方法
4 . 在苏州博物馆有一类典型建筑八角亭,既美观又利于采光,其中一角如图所示,为多面体
,
,
,
,
底面
,四边形
是边长为2的正方形且平行于底面,
,
,
的中点分别为
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2407d4b99e51c6a8d33cc32972549f9.png)
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/1b33c98e-854e-4684-9ba8-f1a7ce79dff8.png?resizew=453)
(1)证明:
平面
;
(2)求平面
与平面
夹角的余弦值;
(3)一束光从玻璃窗面
上点
射入恰经过点
(假设此时光经过玻璃为直射),求这束光在玻璃窗
上的入射角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb94145069d895e289f871c9deb403a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7bd02e0adeae92ba9526261b1baf797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542b5bc10c7341c04c22244f3ec16e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03733d1465d041a6d6da32bf91a7cff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f3392a792c219bf3f365281ad9bb70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1859959fdb4c5edd8056893f94a10a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2407d4b99e51c6a8d33cc32972549f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8930099c42933f19d18446c471738a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1a56baf43ffdf67bc8460856e31fec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/1b33c98e-854e-4684-9ba8-f1a7ce79dff8.png?resizew=453)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c536d18163bd4bc3d7573e206a8d538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31228c7fd89c98d6235ad993d51d413.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31228c7fd89c98d6235ad993d51d413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
(3)一束光从玻璃窗面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31228c7fd89c98d6235ad993d51d413.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/e31228c7fd89c98d6235ad993d51d413.png)
您最近一年使用:0次
2023-03-28更新
|
982次组卷
|
3卷引用:天津市河东区2023届高三一模数学试题
5 . 在某公园中的射击游戏场中,在一次射击游戏中,要求射击2次,若至少命中一次则获奖,否则不获奖.已知游客甲的射击命中率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求甲在一次射击游戏中获奖的概率;
(2)若甲玩三次射击游戏,设
为获奖次数,求随机变量
的概率分布列及数学期望值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求甲在一次射击游戏中获奖的概率;
(2)若甲玩三次射击游戏,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c17142fe03556e6c67ced4bf6123b95e.png)
您最近一年使用:0次
6 . 已知
,
,
.
(1)若四边形
为平行四边形,求实数
,
的值;
(2)若四边形
的对角线互相垂直,求实数
,
满足的关系式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afabec1af4a24e481e6e8d4f532a364b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188886a5772e8d1abc3338b50e2d274b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376ecc27f125a3d48f2c6cdb27704b08.png)
(1)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2021-11-10更新
|
229次组卷
|
2卷引用:天津市河东区2021-2022学年高二上学期期中数学试题
7 . 2018年10月1日开始实行新的个人收入所得税征收办法,在规定项目下的个人,总收入小于等于5000元的将免税,超出部分如下表所示按阶梯方式.不同段有不同的税率.
(1)若某人月收入
元(
),根据上表,结合所学函数知识,写出其每月上税金额
关于
的函数.
(2)解答下列各题
①从事IT行业的小张月收入为23800元,则其应缴纳的个税金额为多少?
②小张的大学同学小李月上税1000元,则其本月收入为多少?
等级 | 含税级距(超出5000元) | 税率(![]() |
1 | 不超过1500元的 | 3 |
2 | 超过1500元至4500元的部分 | 10 |
3 | 超过4500元至9000元的部分 | 20 |
4 | 超过9000元至35000元的部分 | 25 |
…… | …… | …… |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de84ad51f4fc460c8bb29f732bc6a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)解答下列各题
①从事IT行业的小张月收入为23800元,则其应缴纳的个税金额为多少?
②小张的大学同学小李月上税1000元,则其本月收入为多少?
您最近一年使用:0次
8 . 据平安保险公司统计,某地车主购买车损险的概率为0.5,购买第三者人身安全险的概率为0.6.购买两种保险相互独立,各车主间相互独立.
①求一位车主同时购买车损险与第三者人身安全险保险的概率.
②求一位车主购买第三者人身安全险但不购买车损险的概率.
①求一位车主同时购买车损险与第三者人身安全险保险的概率.
②求一位车主购买第三者人身安全险但不购买车损险的概率.
您最近一年使用:0次
解题方法
9 . 在滨海文化中心有天津滨海科技馆,其建筑有鲜明的后工业风格,如图所示,截取其中一部分抽象出长方体和圆台组合,如图所示,长方体
中,
,圆台下底圆心
为
的中点,直径为2,圆与直线
交于
,圆台上底的圆心
在
上,直径为1.
![](https://img.xkw.com/dksih/QBM/2021/4/23/2705880246927360/2730846585544704/STEM/45b2fb4d77584581b5ffa7988d973437.png?resizew=234)
![](https://img.xkw.com/dksih/QBM/2021/4/23/2705880246927360/2730846585544704/STEM/5d45fccb0ba7472eb5b9f5ed084f1e3a.png?resizew=205)
(1)求
与平面
所成角的正弦值;
(2)求二面角
的余弦值;
(3)圆台上底圆周上是否存在一点
使得
,若存在,求点
到直线
的距离,若不存在则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2089110ce065e01dc57e38edb840dceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/2021/4/23/2705880246927360/2730846585544704/STEM/45b2fb4d77584581b5ffa7988d973437.png?resizew=234)
![](https://img.xkw.com/dksih/QBM/2021/4/23/2705880246927360/2730846585544704/STEM/5d45fccb0ba7472eb5b9f5ed084f1e3a.png?resizew=205)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c9f260496ba23993238601a89eca5c.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae190120755c4dd7070df21dd0a90a01.png)
(3)圆台上底圆周上是否存在一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b72acd3da8b22454e5d461379f5bde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
您最近一年使用:0次
解题方法
10 . 已知中心在原点,焦点为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
的椭圆经过点
.
(1)求椭圆方程;
(2)若M是椭圆上任意一点,
交椭圆于点A,
交椭圆于点B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09872be2fce54e922259bde2c540bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa2e31608e60e3fd40c040cfe9d6e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca4733400ec78f1378dd337630babd0.png)
(1)求椭圆方程;
(2)若M是椭圆上任意一点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b6a0cef4256c9696a5bca31053da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3248e218eef5885d063dd2866b59c6b.png)
您最近一年使用:0次
2021-05-24更新
|
1286次组卷
|
4卷引用:天津市河东区2021-2022学年高二上学期期末数学试题
天津市河东区2021-2022学年高二上学期期末数学试题四川省天府名校2021届高三5月诊断性考试文科数学试题四川省天府名校2021届高三5月诊断性考试理科数学试题(已下线)2022年高考考前20天终极冲刺攻略(四)【理科数学】(6月4日)