1 . 下列说法中正确的有( )
A.![]() | B.![]() |
C.若![]() ![]() | D.![]() |
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2 . 已知点
和直线
,点
是点
关于直线
的对称点.
(1)求点
的坐标;
(2)
为坐标原点,且点
满足
.若点
的轨迹与直线
有公共点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a23e87d16c32b5aa4357f481b5808a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34801f6a91fcd4d9ec73cecf21e3504c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3361eae6ffd24142f2e935dda5f552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb718f1c0f7019503b92e11e92ec4c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知抛物线
的焦点
,准线为
是
上一点,
是直线
与
的交点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ea803e31d2dedcf0590e0a0475e7ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3ef586cf0be6de52238dff138c0536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59a3b186caec2a27564410402470fce.png)
A.4 | B.![]() | C.![]() ![]() | D.![]() |
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4 . 从原点向圆
引两条切线,则两条切线间圆的劣弧长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4263e552c9c237464e98e6fc6e2525.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知圆
与圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fcdde20c0d2b2f85b845fdbb4202fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca86a19ab5201357e6521ee78599ffa.png)
A.两圆的圆心距为![]() |
B.两圆的公切线有3条 |
C.两圆相交,且公共弦所在的直线方程为![]() |
D.两圆相交,且公共弦的长度为![]() |
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6 . 已知
,
是方程
的两个不等实根,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ce9a002fecb285781892ff7f5c85d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2929ac996d1fe92a1709d574911cd399.png)
A.2 | B.![]() | C.![]() | D.3 |
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3卷引用:安徽省淮北市树人高级中学2023-2024学年高一上学期期末数学试题
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7 . 已知函数
是定义在
上的奇函数.
(1)求
的值,并判断函数
的单调性(给出判断即可,不需要证明);
(2)若对于任意
,
,且
,都有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53fc840eacc50ec7d8d2252d223d7ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131ac7eb1e911c9a40e84235bf3742ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c453c9e122377a0cb03ac92e383e8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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3卷引用:安徽省淮北市树人高级中学2023-2024学年高一上学期期末数学试题
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解题方法
8 . 已知函数
为
上的奇函数,当
时,
,记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af47ab0f03b9f88a30a75e9e1478d59.png)
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af47ab0f03b9f88a30a75e9e1478d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0892de120ee36e621f6d20745297bfa.png)
A.![]() |
B.当![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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9 . 已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/ad9cb278-e552-447e-96c4-8253cf7ccf60.png?resizew=137)
(1)求
的解析式;
(2)若
,是否存在实数
,
,
,使得
成立?若存在.求出
的取值范围;若不存在,请说明理内.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e8c1d4320a587d9bfa49c80a658f52.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/ad9cb278-e552-447e-96c4-8253cf7ccf60.png?resizew=137)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218782a51289f76abcfefed339f1e5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d08c748d95772264736f63510e2958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031ea4bd7734db4979c018e2ba9df23f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300aa23bc3eecff875ad83d76d081352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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10 . 已知一个扇形的圆心角为2.其周长的值等于面积的值,则扇形的半径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
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