解题方法
1 . 在
中,
是
的中点,边
(含端点)上存在点
,使得
,则
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b343d64efae317736481ab842450bc1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415bd9cdf9fa9312b13a49ea744e2f4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32f2d4d1d2c16c54b2caef17840bfcb.png)
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2 . 由单摆实验得到如图所示曲线,现用正弦函数模型
来拟合,其中
.已知
,则在实数范围内
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e115f70dedd6eb3739913849679b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2d7841114daf4fd38e14e2d2b591c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dff761780a5cacea697eead555a112b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354e0fcc5ce9a3446aeef0eb9a1d3c24.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/45f9fd9b-67fc-4017-afac-16f11fe19983.png?resizew=148)
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解题方法
3 . 对于任意的
恒成立,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f9a6fc8483bd2b69bf29cb2893a562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知函数
的图象关于直线
对称,
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857275c21842f487ae5714a15f516cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8844df2680f4ffa17c8d6f3387f3a6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567ead618b99282d247f6f369940e431.png)
A.240 | B.260 | C.![]() | D.320 |
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5 . 若
中,
,
,那么
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ee608882881caff2f1e223177424ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9498c3fe203b8c0bb7dc4453ccfac2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
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解题方法
6 . 在平面四边形
中,如果
,且
,那么
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8f3dd57aafc8d6d0359c9b61e616bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029efb8b2d1490a194c1d67b57b4f422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a779e711b3900db89bd868360dcfaa.png)
A.2 | B.3 | C.4 | D.5 |
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解题方法
7 . 已知
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1253e1148258494c8bcdf2f21355f869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d625d04bb8d58719f32d086f39161c6f.png)
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2024-03-23更新
|
91次组卷
|
2卷引用:第六届高一试题(初赛)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
8 . 设是锐角三角形的两个互不相等的内角,若
,
,则( ).
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 设D是
边
延长线上一点,记
.方程
,若在
上方程恰有两解,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27ec02c42f8f63bb6644353d1a9b218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7dee313ce741d3e7ea1c3b31060df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e950e8a7181cb37bbddc6010fd87a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 设
为非零向量,
,两组向量
和
均由2个
和2个
排列而成.若
所有可能取值中的最小值为
,则
与
的夹角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c998b0abdfcad8d426b532478d94d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3140cbb6132f310843c7be424a5cc9e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5355d35c0a165df673cea8dc141858a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ae341ad5622f540318d2f1d86dbd87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07058f5a69c29822f92c2324cc86f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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