解题方法
1 . 已知等差数列
的公差为
,数列
与数列
满足
且
.
(1)求数列
与
的通项公式;
(2)求数列
的前
项和
与数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4886610370087259028de8f061c66c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e041e235335092ff4047a25eeb98a8.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
2 . Unidentified Flying Object,简称UFO,俗称飞碟,通常被人们看作是外地文明派到地球的使者.为了调查国内网友对UFO的了解情况,资深UFO爱好者李磊,在网上发起了一项“UFO”有奖问答,共有10000名网友参加,李磊随机抽取了1000名(得分都在60~100分之间),将得分分成4组:
,
,
,
,并整理得到如下频率分布直方图:
的高分网友发放奖品,试估计这次有奖问答的获奖分数线;(保留一位小数)
(2)用分层随机抽样的方法从
,
两个分数段共抽取出4名网友,再从这4名网友中随机抽取2名依次分享UFO时间供大家交流,求第一个分享的网友得分在
的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea146d8ec45e63ad14683fd31064de66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77699e3d1ddc6e698a640573a7ef787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d90faf85d1548242098a6fe3accd84f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1a32a9f2b04fc931c6a0da0b7485e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb25dc4b4432d36c3c983d72cbceb92.png)
(2)用分层随机抽样的方法从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea146d8ec45e63ad14683fd31064de66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1a32a9f2b04fc931c6a0da0b7485e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1a32a9f2b04fc931c6a0da0b7485e2.png)
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3 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff44288e29c6cbebc7497704db3e439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48df90426995ac031c27bf8b9199e3cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知
,则
成立的充要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2f40a4c50312b5f18f179020ae1381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 求满足下列条件的曲线方程:
(1)已知双曲线的焦点在x轴上,离心率为
,且经过点
;
(2)若动点P在
上移动,求点P与点
连线的中点的轨迹方程.
(1)已知双曲线的焦点在x轴上,离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa585b9257ed0798213a9ae9b87d291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c9524efddc807d6c9ebf37b1cf37628.png)
(2)若动点P在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2751c5819303b8e60add2356bd7c808b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203b64e2a9e4ac8bdfb1b541597f7119.png)
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名校
6 . 命题“
”的否定是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59a6a326b53bd8f6ad7804f5b347a29.png)
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2024-04-02更新
|
447次组卷
|
2卷引用:云南省昭通市教研联盟2023-2024学年高一上学期期末考试数学试卷
7 . 数学家祖冲之曾给出圆周率
的两个近似值:“约率”
与“密率”
它们可用“调日法”得到:称小于
的近似值为弱率,大于
的近似值为强率
由
,取
为弱率,
为强率,得
,故
为强率,与上一次的弱率
计算得
,故
为强率,继续计算,
若某次得到的近似值为强率,与上一次的弱率继续计算得到新的近似值;若某次得到的近似值为弱率,与上一次的强率继续计算得到新的近似值,依此类推
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598564aec706dff769c5afc4c378c572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe06931e9309ab626a087f252cf4c46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8b2ddd6646a556f0a0e0ab5b15c9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9b8fd11f9a3d287e956df276667615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160ae6f860b2c27244b64dc511890a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167765a997bbc662e4ea8f0183848897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb92d6017d8d5cdb1d5cceecfcb3689b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299a08c7f87220f9eca82a1f7a055b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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名校
解题方法
8 . 下列命题中:
①若集合
中只有一个元素,则
;
②已知命题p:
,
,如果命题p是假命题,则实数a的取值范围是
;
③已知函数
的定义域为
,则函数
的定义域为
;
④函数
在
上单调递增;
⑤方程
的实根的个数是2.
所有正确命题的序号是______ .
①若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7871353724aae78dec4575fabf33d210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
②已知命题p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80093b2d71987418a5df6ba62cfa732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e10140ab3cdc13d710a65b2287c892b.png)
③已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/899437dff017bba9f1bee755ca0c297b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07793c3c0222de60cd9430689be9ce44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
⑤方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c825bfee48496aae1cea1068646855.png)
所有正确命题的序号是
您最近一年使用:0次
2024-03-19更新
|
468次组卷
|
3卷引用:云南省昭通市一中教研联盟2023-2024学年高一上学期期末质量检测数学试题(A卷)
名校
解题方法
9 .
为
终边上一点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed791722b8d55d84e3543c90e00f1d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
您最近一年使用:0次
2024-03-16更新
|
1161次组卷
|
5卷引用:云南省昭通市一中教研联盟2023-2024学年高一上学期期末质量检测数学试题(A卷)
云南省昭通市一中教研联盟2023-2024学年高一上学期期末质量检测数学试题(A卷)(已下线)5.2.1三角函数的概念河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期3月月考数学试题上海市闵行(文琦)中学2023-2024学年高一下学期3月月考数学试卷(已下线)1.4-1.5 正余弦函数的图象和性质(1)-同步精品课堂(北师大版2019必修第二册)
10 . 已知
,
,则下列不等式中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e271b6e63206285461a7552d11efd7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次