23-24高二下·全国·课前预习
1 . 判断正误,正确的填“正确”,错误的填“错误”.
(1)
由函数
复合而成.( )
(2)函数
的导数为
.( )
(3)函数
的导数为
.( )
(4)函数
是由
及
两个函数复合而成的.( )
(5)函数
的导数是
.( )
(6)函数
的导数是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a128b7ee9fbbf37add9009151e2310.png)
( )
(7)函数
的导数是
.( )
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e03358012f2c8978e3899800b39420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2247e6d222c80be3c82709f96209d222.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73cbe0d130e4b7c34669a8bb233612dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1ad2ca6520e37c52c5f17e31dbd067.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a5994b5f54f80df73a76fbd9550a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050e9a865fe7557225df7f9cc181003d.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612d8a2f36187b85df25ea7407083830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16e80daea1d35a3d283b86e7da3e53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba17941335b3dbff51949e297514ed53.png)
(5)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabb2d8784b4c239a0ee61500473944b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda20384a3b4c24b532d37bc889a56cc.png)
(6)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a08586609699898c78ab5788717b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a128b7ee9fbbf37add9009151e2310.png)
(7)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19d6fa3789aed1a7750709cbcfabae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224b3cc29fe00422795e90630679859.png)
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23-24高二下·全国·课前预习
2 . 判断正误,正确的写正确,错误的写错误.
(1)若
,则
.( )
(2)若
,则
.( )
(3)若
,则
.( )
(4)若
,则
.( )
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3b8bb899f71af25132b1dc0fbda696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6998106570ccf08782779d9d04a3a554.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9ca3eac640713aeedf911613772e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5323dc34c9fa053d3b0f7650bd438969.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d68db7e82ff86b7ac2164236bddbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ef372ac6b609bda2bddadc7c148666.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3407575198ba457e5083862b9ecf4186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d85a962e9270e873f274bd73af0cc7.png)
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3 . 判断正误(正确的写正确,错误的写错误)
(1)若
,则
.( )
(2)函数
的导数是
.( )
(3)函数
的导数为
.( )
(4)若
,则
.( )
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf22dd0ae1ab3d9aad7e67976fc3785e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfc436eb1738984ed3b50eca6569a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9fb9b0ae68acc673deb430c01c10ed.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7315bcc4bb07009c60463383c648c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900dff4c031b3158ad75a5e72c289ca5.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21f4d0fa57fae3a2c935f04af01056e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ef5ed3228dbc84cc0e23c1ad2321b7.png)
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4 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)
.( )
(2)因为
,所以
.( )
(3)若
,则
.( )
(4)函数
图象上某点处可能存在两条切线.( )
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa564877d9e680e690f6675f80d554ae.png)
(2)因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65be5e9da54da0205e2fb1bd90fefc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50b0e902f60e3bbd90e0e9224169d3e5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6cb9b9ac4af6bf8cce8e86e7e60a1ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368c73c5b1fc66954165a11ebd9bba5e.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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5 . 设f(x)=e-x,则f′(x)=e-x( )
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6 . 函数
的导数是
. ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7ed99a74e126a05cb520f19c094020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea95760243b606ca8ba0ebc96f1dc2a.png)
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7 . f(x)=2x2-
是复合函数( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
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8 . 函数
的导数是
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5869bc299083ccc575e613798c4e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3eea7ee2816a3b319330f6ceee3218.png)
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23-24高二下·全国·课前预习
9 . 判断正误,正确的画“正确”,错误的画“错误”.
(1)
( )
(2)函数
的导数是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bf97d373d6fafcb449ab9f8370d41b.png)
( )
(3)当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6372ae8b69e8aa965ddec7717b6dca50.png)
( )
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb239bbda90c98f2595db8906031ea14.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfc436eb1738984ed3b50eca6569a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bf97d373d6fafcb449ab9f8370d41b.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f1a17ec04e606e9159f7a22b144008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6372ae8b69e8aa965ddec7717b6dca50.png)
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10 . 当
时,
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e04db31d54a054dd712e2995751b9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f22ea8000875636983c736f70634c49.png)
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