名校
解题方法
1 . 已知
,且
,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b4cab645c97f6d1710f803ef6a8436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f55b8836b41be612a52ca9caf97006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a9cf263621dbda857db17cfe36ac97.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-10-30更新
|
2210次组卷
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10卷引用:辽宁省葫芦岛市2021届高三一模数学试题
辽宁省葫芦岛市2021届高三一模数学试题辽宁省名校2021届高三第一次联考数学试题河北省石家庄市第一中学2021-2022学年高二上学期期中数学试题湖南师大附中2018-2019学年高一下学期第一次阶段性检测数学试题(已下线)5.2 同角三角函数(精讲)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)第五章 三角函数专练1—同角三角函数的基本关系-2022届高三数学一轮复习山西省太原市英才学校高中部2022-2023学年高一上学期12月月考数学试题(已下线)突破5.2 三角函数概念(课时训练)-【新教材优创】突破满分数学之2022-2023学年高一数学重难点突破+课时训练 (人教A版2019必修第一册)(已下线)专题5.3 三角函数的概念-重难点题型精讲-2022-2023学年高一数学举一反三系列(人教A版2019必修第一册)(已下线)第01讲 三角函数的概念与诱导公式(八大题型)(讲义)
解题方法
2 . 随着生活水平的不断提高,我国居民的平均身高也在增长.某市为了调查本市小学一年级男生身高情况,从某小学一年级随机抽取了100名同学进行身高测量,得到如下频率分布直方图,其中右侧三组小长方形面积成等差数列.则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/2021/5/20/2725187456753664/2734157981007872/STEM/879ec16a-280f-4078-86e9-01c95b445f1a.png?resizew=284)
![](https://img.xkw.com/dksih/QBM/2021/5/20/2725187456753664/2734157981007872/STEM/879ec16a-280f-4078-86e9-01c95b445f1a.png?resizew=284)
A.身高在![]() |
B.身高的众数的估计值为115![]() |
C.身高的中位数的估计值为125![]() |
D.身高的平均数的估计值为121.8![]() |
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名校
解题方法
3 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d253a568d39939ddb7b845e3b1f3b3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5e81929963c3809a82a0d222eb205d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:辽宁省葫芦岛市2021届高三二模数学试题
名校
解题方法
4 . 已知复数
(
是虚数单位),则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd2baf6a83366465d89660d2e94e3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af827939a5b3d6ea691aa20386cec738.png)
A.1 | B.![]() | C.![]() | D.![]() |
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4卷引用:辽宁省葫芦岛市2021届高三二模数学试题
名校
解题方法
5 . 已知函数
.
(1)求
在
处的切线方程;
(2)当
时,不等式
恒成立,求实数
的取值范围;
(3)求证:
(
且
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5889da8087df7d1a5bd254a2f9b59edc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abded90495e9d6ed95277ae2dee3bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588dae0a65063d690d8e78afcee69347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85477254b6d6421408ae05e26d877aba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
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2021-06-02更新
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3卷引用:辽宁省葫芦岛市2021届高三二模数学试题
辽宁省葫芦岛市2021届高三二模数学试题(已下线)第五章 一元函数的导数及其应用(基础测评卷)-2020-2021学年高二数学单元复习(人教A版2019选择性必修第二册)陕西省西安市西北工业大学附属中学2022届高三下学期第九次模拟考试理科数学试题
名校
6 . 已知椭圆
过
,
两点,直线
交椭圆
于
,
两点.
(1)求椭圆
的标准方程;
(2)若直线
过点
,是否存在常数
,使得
为定值,若存在,求
的值及定值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e76e2e9d93fff649298a91ed6aa64ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c84818cfbd9a885081cb4e3294eabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2979d8103a5295b24dcc3cae64669b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b485b377478f506319a67dd641a3ada0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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3卷引用:辽宁省葫芦岛市2021届高三二模数学试题
解题方法
7 . 如图所示多面体
,其底面
为矩形,且
,
,四边形
为平行四边形,点
在底面
内的投影恰好是
的中点.
![](https://img.xkw.com/dksih/QBM/2021/5/20/2725187456753664/2734157981728768/STEM/37391892-0479-404b-bee3-0d7998167418.png?resizew=243)
(1)若
为线段
的中点,证明:平面
平面
;
(2)若
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bae5203f4b4acf23779114b3466e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f84f169e50dc59d4f7a8e1e36f5c847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2021/5/20/2725187456753664/2734157981728768/STEM/37391892-0479-404b-bee3-0d7998167418.png?resizew=243)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e781ab58450809e5f255eefe95cf187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b3788fe857069deda7798284af27ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e904f5b316b9ba89599fb789dd9b09.png)
您最近一年使用:0次
名校
8 . 习近平总书记强调:要始终践行“绿水青山就是金山银山”发展理念.植树造林、保护森林,是每一位适龄公民应尽的法定义务.某地区园林局为响应国家号召,分别在
,
两块不同土质的土地上栽种A品种树苗各10000株.2年后,为了弄清楚树苗的成活情况与土质是否有关,分别在
,
两块土地上随机抽取树苗各100株,共计200株作为样本,其中树苗在
地块上成活95株,在
地块上成活85株.
(1)完成
列联表,并判断是否有95%的把握认为
品种树苗成活与两块地土质有关;
附:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553138f7658eae6a094655cc1eba3bf3.png)
(2)经过对
地块所抽取的样本数据统计研究发现,2年后成活的树苗的高度
(单位:
)近似服从正态分布
,根据园林局技术部门提供指标,在同样种植条件下(土质情况除外),若2年后树苗高度低于
和不成活的总数量达到715株以上,则
地块不符合栽种标准,后期将不被用来栽种
品种树苗,试估计
地块是否符合栽种标准,并说明理由.
附:若
,则
,
,
.
![](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/ac047e91852b91af639feec23a9598b2.png)
![](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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)完成
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![]() | ![]() | 总计 | |
成活 | |||
未成活 | |||
总计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553138f7658eae6a094655cc1eba3bf3.png)
![]() | 0.05 | 0.010 | 0.005 |
![]() | 3.841 | 6.635 | 7.879 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c217043fe417bc1e2b18ef9e94949f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de39bab1502a808ddcd12ae90a3131f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
附:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8fe2c475d2b56844c799ed03b5b9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97705bedd45b860523d4fac71b64100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccddaff02f39f530e953c94a0a53bc35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3280373a54d4b00138c803698ec60b74.png)
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2021-06-02更新
|
749次组卷
|
2卷引用:辽宁省葫芦岛市2021届高三二模数学试题
9 . 在
中,角
,
,
所对的边分别是
,
,
,已知
,
.
再从条件①:
,
;条件②:
.中选择一个作为已知补充到题中.求:
(1)
及
的值;,
(2)
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.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/421ff27c2def8b40bf012a9c3d8b9650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
再从条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb75557d217f59ef1f33e8da1ac0d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ba8e2925faaf4a8419a93d756d92d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c82bec71336d4b82776f10988a1dfd.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2卷引用:辽宁省葫芦岛市2021届高三二模数学试题
名校
解题方法
10 . 设公比为整数的等比数列
满足
,
.
(1)求
的通项公式;
(2)令
,记
为数列
的前
项和,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111c884a9c22c6902353b7b4f7be7c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df7f2beffd703583d4b4db720bf778b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c926c37e5c95a4b67eb4e342dfee05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26cda28972dd0a0d522a9b0e3283a856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3卷引用:辽宁省葫芦岛市2021届高三二模数学试题