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1 . 已知函数
.
(1)求函数
的在
上单调递减区间;
(2)若函数
在区间
上有且只有两个零点,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355ccf68073239a76e677558d949432f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c195698ac387fe53b3b1e0248a1fcc92.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3f7f762131c77a3c8440b4a3bc1d12.png)
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解题方法
2 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431daf06067704cff84b8e31e9afbcd5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f8f19967b1a7f266678e2784905b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b377e28481aeb7cc7f188c77005322af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431daf06067704cff84b8e31e9afbcd5.png)
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3 . 如图,在四棱锥
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e20b9753ea5de2295ea1513a807e2aa.png)
.
的中点为
,求
与
所成角的余弦值;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e20b9753ea5de2295ea1513a807e2aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9504371e9029166bfc33a55669abfc1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
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4 . 在
高的楼顶
处,测得正西方向地面上
两点
与楼底在同一水平面上)的俯角分别是
和
,则
两点之间的距离为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f631cfdf4666db95beb923072ced8d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de4720dff9a2358778c65d580a16cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c12aeebfa1af16f325c98a43bb08c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1006d62fa5723dc36286b8f5494f993e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 函数
的图象关于直线
对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf34406c2beb9db879d550e7da87833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35757e0218eb4884249e1f3b9dc6777e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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|
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6 . 菱形
中
,现将菱形
沿对角线
折起,当
时,此时三棱锥
的体积为
,则三棱锥
外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887956f4cf7640b4087fdd34e1e7821e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2ae98eb223b4fe33e53e9d3ba4cc40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0874f019492261eb175bdcc08c189d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 设锐角
的三个内角
的对边分别为
,且
,则
的取值范围为 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c23f8476e0500d39d649e2987d0769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 设A,B,C,D为抛物线
上不同的四点,A,D关于该抛物线的对称轴对称,
平行于该抛物线在点D处的切线l.设点D到直线
和直线
的距离分别为
,
,已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bbe19f0e503b3126f409460288b8f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb04cecda15f15130411851e4e41398d.png)
A.![]() | B.![]() | C.1 | D.![]() |
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解题方法
9 . 在
中,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
______ (用弧度制表示),若
为
的中点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f86271ee2b1858cf3f54d57d8473dad.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29c36db60dd12810ad2e90989d422bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89cae28c97255a8d5640377f39be2ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f86271ee2b1858cf3f54d57d8473dad.png)
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解题方法
10 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/121aa836e45f70bb7355ea7aeebfb0cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4bb68bc1395f4cbcb5889aa39e1b7c.png)
A.![]() | B.7 | C.![]() | D.![]() |
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