解题方法
1 . 已知定义在
上的函数
满足
,且当
时,有
,若
,则不等式
的解集是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a053c31366873abc1740437cae8c321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cb52244e80d80aba05265cec591a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6042ff9aa8376f6bdf6f2c5a4dd1166.png)
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2 . 已知直线
(
为常数)与圆
交于点
,当
变化时,若
的最小值为2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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3 . 数列
的前n项和为
,若数列
与函数
满足:①
的定义域为R;②数列
与函数
均单调递增;③
使
成立,则称数列
与函数
具有“单调偶遇关系”.有下面四个结论:
(1)
与
具有“单调偶遇关系”
(2)
与
不具有“单调偶遇关系”
(3)与数列
具有“单调偶遇关系的函数有有限个
(4)与数列
具有“单调偶遇关系”的函数有无数个
其中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010e6bdfd73b146e42df3f899513183c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd70bc89bcebe10b16931b1e654d211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff1c33b81ac2f065d37faef37504bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b5779873cb3f4366dbfdb983dec81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d087d57ecfdb9979a7c187f8b009bea7.png)
(3)与数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d59e423e1dd1a49b0b6670041321c73.png)
(4)与数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a97e99f49ad1998d2858e1963aa45de.png)
其中正确结论的序号为
您最近一年使用:0次
名校
解题方法
4 . 已知函数
在区间
上的最大值为M,当实数a,b变化时,M最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8eb458bfa0c73b467e286a0aa6109f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979b19f87f2c7e171d6061d56cb7bf8.png)
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名校
5 . 在
的展开式中,含
项的系数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3da00dd2ca5375a650d868a04adf3da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
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解题方法
6 . 函数
的定义域是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e31c00b3c786c55acdcd29662b2b748.png)
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名校
解题方法
7 . 如图,在平面直角坐标系xOy中,角的始边为x轴的非负半轴,终边与单位圆O交于点P,过点P作x轴的垂线,垂足为M.若记点M到直线OP的距离为
,则
的值域为
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名校
解题方法
8 . 在平面直角坐标系xOy中,角
与角
均以Ox为始边,它们的终边关于
轴对称,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6834a22cc57e6dc022c74eae7dac76.png)
_____________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84effab46d6bfc6cb110963e027a6b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6834a22cc57e6dc022c74eae7dac76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
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9 . 华人数学家李天岩和美国数学家约克给出了“混浊”的数学定义:由此发展的混浊理论在生物学、经济学和社会学领域都有重要作用,在混沌理论中,函数的周期点是一个关键概念,定义如下:设
是定义在R上的函数,对于
,令
,若存在正整数k使得
,且当
时,
,则称
是
的一个周期为k的周期点.若
,写出一个
周期为1的周期点_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fec750c3c439e2c790424247d2ced4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690de409a732cf0c4b4d7676d5a2aa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d08cebe1eff5e0b462372112beb1595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5065dc1e7a309bf91ef8d348b90c58da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab706819203373741ad745790fd5a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2024-03-24更新
|
288次组卷
|
2卷引用:北京市海淀区人大附中2024届高三下学期统练2(3月月考)数学试题
解题方法
10 . 设
为抛物线
的焦点,直线
,点
为
上任意一点,过点
作
于
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53b3368052f5eb9c0d27a1d3dc249ec.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b871eae04a8d29a655fdf9a23f77e58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4180dae966f648d368a10edf3b7e3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/904b21bba351171abdc8482a906499d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53b3368052f5eb9c0d27a1d3dc249ec.png)
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