1 . 将下列多项式因式分解,结果中含因式
的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7396af7fa4423ee5980e48f0038bceb.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 下列命题正确的有( )
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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3 . 在
中,
,且
为重心,
为内心,则
()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbe280d2ae2b53461d7d7110631a17e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cbf373efe64c4f79a36ab4c3865d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a573b075a8cb7ed934d366864f2ee5.png)
A.![]() | B.![]() | C.1 | D.2 |
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4 . 我们知道,在
中,
,由此发现:
,根据此结论解题:若
为锐角,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5193a8383d3a94838c78b2f82fb2a39b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0833355a36fa55ed7570a62dd6d2ca01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ccfb84262f5f4effb6dcd1dcb641593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d954df4d15e6b56f4b20c2c6627baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
A.![]() | B.2 | C.8 | D.16 |
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5 . 若
,则
()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ef343438db803b41217dffc95da6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6031d91b86878d677fa67f35f8e29ada.png)
A.4 | B.6 | C.34 | D.36 |
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6 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f71ed5c062a49e8f575dddac8fedbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72201be4beed8e7ff37f430fbd6e12b7.png)
A.![]() | B.![]() | C.1 | D.2 |
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7 . 《几何原本》是古希腊数学家欧几里得得所著的一部数学著作,在《几何原本》第六卷给出了内角平分线定理,其内容为:在一个三角形中,三角形一个内角的角平分线内分对边所成的两条线段,与这个角的两邻边对应成比例.例如,在
中(图1),
为
的平分线,则有
.
(2)如图2,已知
的重心为
,内心为
,若
的连线
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608bf0cfbbe809837adec2755fcd2901.png)
(2)如图2,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b8fc74eea80b1ccf11d16ad7b3178a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981b01ddc1aa5fcf155ad41307d22b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a94a70686cb9c91ec9705bed47dc663.png)
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解题方法
8 . 解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249041d870c5a874d29d2fd09c7c498a.png)
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名校
解题方法
9 . 已知
,
.
(1)求
的最小值;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd98ce07e05c58d83a48d90dfcb28fd2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc176569ec8d428788cda28f6cac07a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95dbfd0c2a1973ab44c0cfe63bfddf1.png)
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2023-09-16更新
|
1544次组卷
|
7卷引用:广西钦州市灵山县天山中学2023-2024学年高一上学期入学考试数学试题
10 . 已知关于
的方程
有两个实数根
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549148610e758571070838cd6550956d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748766999c42c527d9f347e9e572dd46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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