解题方法
1 . 已知
,
为圆
上的两个动点,
,若点
为直线
上一动点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1ef69432777e05e7c423ce9ffca7e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c12b6925aa6e4e44d1514b2fd5030e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b399fa8b6ca53f3226c3d487c008832f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cef568cfe2fc12a4dec11533ada274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34fecdba74b21123e896995a5d1fc68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7cf2991482ba0aba8a81b8680e5968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
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2 . 如图,在多面体
中,四边形
为菱形,
,
,
⊥
,且平面
⊥平面
.
平面
;
(2)若
,且
,求多面体
的体积.
![](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/f1d0d6dc13cf6b6d1a0e0c1d55ad0ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c60ec174cefcad3532d986c01e16a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ade8233bc5e455bc00825e081647519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49462eb28089d01c20a00c4648633d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
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|
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2卷引用:四川省射洪市2023-2024学年高三下学期高考模拟测试数学(文)试题
名校
3 . 众所周知,阅读能力在各个领域的作用都较为突出,开展阅读能力的培养与训练,对个人综合能力的提升有很大帮助.
(1)某研究机构想知道阅读训练对阅读能力的提升有多大的帮助,随机抽查了100名坚持进行阅读训练的同学和100名没有坚持进行阅读训练的同学,对他们进行阅读理解能力测试(满分100分,规定不低于80分为优秀),得到如下
列联表:
问:能否有
的把握认为阅读理解成绩是否优秀与坚持进行阅读训练有关?
(2)数学学科具有较强的逻辑性和抽象性,为了做进一步研究,该机构又从阅读理解成绩优秀的同学中随机选取了10名同学,对这10名同学进行了数学测试(满分150分),这10名同学的两次测试成绩如下表:
为判断数学成绩
与阅读理解成绩
的线性相关性,请利用这10名同学的成绩,求相关系数
(精确到0.01).
附:①
,其中
.
②独立性检验临界值表:
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55ac4fa251e290c67ecb1b0f3a1210c.png)
④
(1)某研究机构想知道阅读训练对阅读能力的提升有多大的帮助,随机抽查了100名坚持进行阅读训练的同学和100名没有坚持进行阅读训练的同学,对他们进行阅读理解能力测试(满分100分,规定不低于80分为优秀),得到如下
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
不优秀 | 优秀 | |
坚持进行阅读训练 | 30 | 70 |
没有坚持进行阅读训练 | 60 | 40 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a363cc53497fdfac77b43f656424f973.png)
(2)数学学科具有较强的逻辑性和抽象性,为了做进一步研究,该机构又从阅读理解成绩优秀的同学中随机选取了10名同学,对这10名同学进行了数学测试(满分150分),这10名同学的两次测试成绩如下表:
序号 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
阅读理解成绩![]() | 88 | 92 | 88 | 96 | 96 | 90 | 90 | 94 | 94 | 92 |
数学成绩![]() | 80 | 110 | 74 | 138 | 132 | 98 | 102 | 122 | 114 | 110 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
附:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8ec200973736ac8bcd9aa633855d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
②独立性检验临界值表:
![]() | 0.050 | 0.010 | 0.001 |
![]() | 3.841 | 6.635 | 10.828 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55ac4fa251e290c67ecb1b0f3a1210c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9205d9d9868be5e67d7a3ed66bc92bd5.png)
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2卷引用:四川省遂宁市射洪中学校2024届高三高考考前热身数学(文)试题
名校
解题方法
4 . 已知函数
,数列
满足
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7904757c16ce6903bd5580d2c37ed11.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3110dbede248b525d5ecff1127966538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ce53d78a1931364b237324fc72e592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a18d2df798894e2515f8f14b76624f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7904757c16ce6903bd5580d2c37ed11.png)
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名校
5 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb892324e86612d006577aa8cbc4ef91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知
,
分别是双曲线
的左、右焦点,点
为坐标原点,过
的直线分别交双曲线左、右两支于
,
两点,点
在
轴上,
,
平分
,其中一条渐近线与线段
交于点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578832b5e2b61bf599918028e68da17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad0573a91986064275b3beaa3749e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3656055f5256cd06e636ea96e9f89c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0efe810673fd4ca71c659e01197942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e7f90d5fda8214140605ed308bf548.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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|
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2卷引用:四川省射洪中学校2024届高三高考考前热身理科数学试题
名校
解题方法
7 . 在直四棱柱
中,所有棱长均为2,
,
为
的中点,点
在四边形
内(包括边界)运动,下列结论中正确的是_____ (填序号)
在线段
上运动时,四面体
的体积为定值
②若
面
,则
的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
③若
的外心为M,则
为定值2
④若
,则点
的轨迹长度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a46dc0bb5d8fa33583817e530a5d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd91ef047f2591dc1406bc0e39934fe6.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea3bcade880af77158e0dc1a6af2980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be61fee6829cb6e6fe17808c1a8fe197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4996e2ab0b3cdb7d3406e038e5a46c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497ad8ec00e4751a797d755753c8e760.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e077661d6c2faacf4a12f6cfba099f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
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2卷引用:四川省射洪市2023-2024学年高三下学期高考模拟测试理科数学试题
8 . 在
中,点F为线段BC上任一点(不含端点),若
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906b86ba6a3a5aa194d5cdc97c6b2d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd31dc2d0967db352574381d66d33fc0.png)
A.3 | B.4 | C.8 | D.9 |
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2卷引用:四川省射洪市2023-2024学年高三下学期高考模拟测试理科数学试题
解题方法
9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b5e4b36b4bacc7c887f9c32557a323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04dfb3821084fdcfe8c2efd3ea960cd4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 若
满足约束条件
,设
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b402396b6ebe3aed1fa6452f2ba01b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81b5f818af5d7f3dbd8f557599580d1.png)
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2024-05-25更新
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