名校
1 . 已知直线
与曲线
有两个不同的交点,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7399d394c9aea6ff510ddea3facb35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75db6f4115857bc0041da949ba5f95a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-05-05更新
|
4708次组卷
|
9卷引用:内蒙古赤峰二中2019-2020学年高一下学期第二次月考(6月)数学试题
内蒙古赤峰二中2019-2020学年高一下学期第二次月考(6月)数学试题【校级联考】湖北省“荆、荆、襄、宜四地七校考试联盟”2018-2019学年高二第二学期期中联考数学(文科)试题四川省雅安市2019-2020学年高二上学期期末数学(文)试题江苏省扬州中学2019-2020学年高一下学期4月阶段测试数学试题江苏省宿迁市泗洪县洪翔中学、沭阳县修远中学2019-2020学年高一下学期6月第三次阶段测试数学试题云南省丽江市第一高级中学2020-2021学年高二12月月考数学试题江西省南昌市麻丘高级中学2021-2022学年高二上学期期中测试数学(文)试题四川省绵阳市三台中学校2022-2023学年高二上学期第一次月考数学(文)试题四川省泸县第四中学2022-2023学年高二下学期开学考试数学(文)试题
名校
2 . 设定义在
上的函数
满足
,且
,则下列函数值为-1的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f710b55916b8c17b934638522fb4024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00977f476aeba87c81a5a5aa1b40bcbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d1a394de682416d679a9de7938b6b4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-04-30更新
|
920次组卷
|
2卷引用:【市级联考】内蒙古赤峰市2019届高三模拟考试数学(文)试题
名校
3 . 若过点
且斜率为
的直线与抛物线
的准线
相交于点
,与
的一个交点为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b01c57952e2e5a6cff630d4d77fefe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f0a990ab483e7bc95152f65755dd58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2019-04-30更新
|
580次组卷
|
6卷引用:【市级联考】内蒙古赤峰市2019届高三4月模拟考试数学(理)试题
4 . 选修4-4:坐标系与参数方程
在直角坐标系
中,曲线
的参数方程为
为参数),过点
且倾斜角为
的直线
与曲线
交于
两点.
(1)求
的取值范围;
(2)求
中点
的轨迹的参数方程.
在直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315b7af2d3ed6605ad233411568a453a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c4379e0308c3ce11c18d4cada91041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e619b88345aea120c8eac905f782b7.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2019-04-30更新
|
746次组卷
|
2卷引用:【市级联考】内蒙古赤峰市2019届高三4月模拟考试数学(理)试题
5 . 已知函数
,其中
为自然对数的底数.
(1)若
,判断函数的单调性,并写出证明过程;
(2)若
,求证:对任意
,都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d79fc19305ca8148c2a671969d3e63c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c9f5909f7557798cfa8169a005ab4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bb7883ea87e6275472dbe14ee62357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cc653cac9bd7bbae0977857f8812ec.png)
您最近一年使用:0次
6 . 国家统计局拟进行第四次经济普查,某调查机构从
个发达地区,
个欠发达地区,
个贫困地区中选取
个作为国家综合试点地区,然后再逐级确定普查区域,直到基层的普查小区,在普查过程中首先要进行宣传培训,然后确定对象,最后入户登记,由于种种情况可能会导致入户登记不够顺利,这为正式普查提供了宝贵的试点经验,在某普查小区,共有
家企事业单位,
家个体经营户,普查情况如下表所示:
(1)写出选择
个国家综合试点地区采用的抽样方法;
(2)根据列联表判断是否有
的把握认为“此普查小区的入户登记是否顺利与普查对象的类别有关”;
(3)以频率作为概率,某普查小组从该小区随机选择
家企事业单位,
家个体经营户作为普查对象,入户登记顺利的对象数记为
,写出
的分布列,并求
的期望值.
附:参考公式:
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f649005df38834668bb17d9bc6d5f945.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d4cb09f73abcf5c0d93c6644d362af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f43677db00ba65a7f96fc49627d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aad0f4f7f47ac83100121fd7a2fa6e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5b21c1f4bc7c5947c0df11992adc20.png)
普查对象类别 | 顺利 | 不顺利 | 合计 |
企事业单位 | 40 | 10 | 50 |
个体经营户 | 90 | 60 | 150 |
合计 | 130 | 70 | 200 |
(1)写出选择
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
(2)根据列联表判断是否有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bae4b6d00507e1eace6024af7e703e5.png)
(3)以频率作为概率,某普查小组从该小区随机选择
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](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/f022950e0faa45b617d497b01b5292b9.png)
附:参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630144b7c8e3bc0e0ea448b9b40df813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f649005df38834668bb17d9bc6d5f945.png)
参考数据:
![]() | 0.50 | 0.40 | 0.25 | 0.15 | 0.10 | 0.05 | 0.025 |
![]() | 0.455 | 0.708 | 1.323 | 2.072 | 2.706 | 3.841 | 5.024 |
您最近一年使用:0次
7 . 在
中,角
的对边分别为
,且满足
,
的外接圆的半径为
,
(1)求角
的大小;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4459cfabdc88982459981aed861060b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be4380bdcef1c542604a6ad61642c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
名校
8 . 已知正项等比数列
的前n项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22165ab44a6528db7ab5bf3a7b8be447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195411d5914c73aec097e4c298f2fc8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22165ab44a6528db7ab5bf3a7b8be447.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-04-30更新
|
570次组卷
|
4卷引用:【市级联考】内蒙古赤峰市2019届高三4月模拟考试数学(理)试题
9 . 如图,在四棱锥
中,
,
底面
,
,
为棱
上一点,点
为棱
的中点,过
的平面交
于
两点,且
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff14a33c2ffdf20e42171df628622d9d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/61aa1d91-04b0-4663-951f-115b88cb894e.png?resizew=197)
(1)证明:
;
(2)若
于底面
所成角的正弦值为
,
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e043bb8100e445f1a35e431408bdfa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d143cb0e3a3fca5cdf27af6aa1df2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211a44ffb09c7413dac58e9cea70fd9.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/ff14a33c2ffdf20e42171df628622d9d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/61aa1d91-04b0-4663-951f-115b88cb894e.png?resizew=197)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bf6bac842d6a6a39503c8a7db1038a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6c2dad46a9052a4185a4f7b4ae8a2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8a37fe032f2be78a4a4e12fbf49e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de1c8bbf53690c6f714f83eea1556bd.png)
您最近一年使用:0次
10 . 设单位向量
的夹角为
,则向量
在
方向上的投影为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad59ee7969f2a082ed53bdf0aaa748ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b5ee207b222aaa6d283d58f6f72661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6657d6ec6731c970b811f9c02c1a3bf.png)
您最近一年使用:0次