1 . 已知
,则
的大小关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b9b0319b04ffaed294f767ba89ae69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 任取一个正整数,若是奇数,就将该数乘3再加上1;若是偶数,就将该数除以2.反复进行上述两种运算,经过有限次步骤后,必进入循环圈1→4→2→1.这就是数学史上著名的“冰雹猜想”(又称“角谷猜想”等).如取正整数,根据上述运算法则得出6→3→10→5→16→8→4→2→1,共需经过8个步骤变成1(简称为8步“雹程”).我们记一个正整数
经过
次上述运算法则后首次得到1(若
经过有限次上述运算法则均无法得到1,则记
),以下说法正确的是( )
A.![]() ![]() |
B.![]() |
C.对任意正整数![]() ![]() |
D.![]() |
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解题方法
3 . 已知函数
对
都有
,若
的图象关于直线
对称,且对
,当
时,都有
,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/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94264e1022dde7c2995f2c38b076a60b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b8d9335baf572cc19d765fa8b46e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994fc4d818eabd3a351292d240caf1b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938d6d9536a971f7eaa30ed5e0e3d2d3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 若
,对任意实数
,则“
”是“
”成立的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592143d14c8b56c499800fb0a3ea6921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e295b07f7d21edf1aae751bfba367208.png)
A.充分且必要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分也不必要条件 |
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5 . 设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698f362a14c0eb70f91c5c4be22082fc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知函数
的导函数为
,若
,设
,
,
.则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01ca8462b0612de856261e4a5d0fbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a06ce780f4ec6af4d769a09cba08de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6bba85e4c2426061b5c8f53c09b9e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知定义域为
的函数
,其导函数为
,且满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f305a9e8d5251b16918aec165a62ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024·全国·模拟预测
8 . 若
,
,
,则
,
,
的大小顺序为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c712c3fae7550a42815df437a7c94b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f442a88e497b51774683b0b3d93587e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d7471a8555421e0b14204e49c79fdae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知定义在
上的函数
,对任意的
且
,都有
,且函数
为奇函数.若锐角
的三个内角为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcb2e3b54b7b8361dd5e2f356bf1102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b38615b9ed5033df1f27e86a359dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知函数
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b586d5da50edf2b5d624b1f3368570eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4317d55e9e801b5dcfbb187aa3beb111.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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