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单选题设,其中,则在区间内( )

A. 递减

B. 可导

C. 连续

D. 无界

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学科：默认课程

时间：2025-12-19 18:47:56

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已知函数f(x)的定义域为[0,4],则函数g(x)=f(x+1)-f(x-1)的定义域为

A. [1,5]B. [2,3]C. [0,4]D. [1,3]

设<img src="http://p.ananas.chaoxing.com/star3/origin/1647aea215b9a2a41c2e190429e2bc9c.png">在 <img src="http://p.ananas.chaoxing.com/star3/origin/cfe8a674955ed2178d0488f8641e108a.png">内连续,则下列叙述正确的是( )

A. 若<img src="http://p.ananas.chaoxing.com/star3/origin/1647aea215b9a2a41c2e190429e2bc9c.png">为以T为周期的周期函数,且是奇函数,则<img src="http://p.ananas.chaoxing.com/star3/origin/4ab6ebc878194e90fbc49b0dd1ede313.png">是一T为周期的周期函数B. 若<img src="http://p.ananas.chaoxing.com/star3/origin/1647aea215b9a2a41c2e190429e2bc9c.png">为非奇非偶函数,则<img src="http://p.ananas.chaoxing.com/star3/origin/b39e0603fcb5c34a2f5b9b82396460bd.png">C. 若<img src="http://p.ananas.chaoxing.com/star3/origin/1647aea215b9a2a41c2e190429e2bc9c.png">为偶函数,则<img src="http://p.ananas.chaoxing.com/star3/origin/b39e0603fcb5c34a2f5b9b82396460bd.png">D. 若<img src="http://p.ananas.chaoxing.com/star3/origin/1647aea215b9a2a41c2e190429e2bc9c.png">为奇函数,则<img src="http://p.ananas.chaoxing.com/star3/origin/7aff263ac368438d97e4cfd3cc0224cd.png">

函数<img src="http://p.ananas.chaoxing.com/star3/origin/f6ba4620595bb659b5caabf2743c2819.png">在点<img src="http://p.ananas.chaoxing.com/star3/origin/c4b8b66bc9a69f6c76472244f3c6867a.png">处可微,<img src="http://p.ananas.chaoxing.com/star3/origin/440b06a780936da6cfd79917a916b919.png">,当<img src="http://p.ananas.chaoxing.com/star3/origin/4266607ffe6b1d17c25bea932add1771.png">时必有( )

A. <img src="http://p.ananas.chaoxing.com/star3/origin/b6e9e0e4f6c7c432572ad8d2186be3d8.png"> 是h的同阶无穷小B. <img src="http://p.ananas.chaoxing.com/star3/origin/ee017a498536958480da7a21e9de2959.png">是h的同阶无穷小C. <img src="http://p.ananas.chaoxing.com/star3/origin/b6e9e0e4f6c7c432572ad8d2186be3d8.png"> 是比h高阶的无穷小D. <img src="http://p.ananas.chaoxing.com/star3/origin/ee017a498536958480da7a21e9de2959.png">与<img src="http://p.ananas.chaoxing.com/star3/origin/c9b81fb1bf730fc053d3718d5edea5e9.png">是等价无穷小

设<img src="http://p.ananas.chaoxing.com/star3/origin/3a061136f3adf066e11eaf3273b340f7.png">,<img src="http://p.ananas.chaoxing.com/star3/origin/3887f134a3dc8e072a4dc61805f98123.png">>0,则必定存在一个正数δ,使得()

A. 曲线<img src="http://p.ananas.chaoxing.com/star3/origin/f6ba4620595bb659b5caabf2743c2819.png">在区间<img src="http://p.ananas.chaoxing.com/star3/origin/755c6782203d2c11fc1f048169580bfd.png">内是下凸的B. 曲线<img src="http://p.ananas.chaoxing.com/star3/origin/f6ba4620595bb659b5caabf2743c2819.png">在区间<img src="http://p.ananas.chaoxing.com/star3/origin/f87e340bd8011dd1c4682b809ee98781.png">上单调增加,在<img src="http://p.ananas.chaoxing.com/star3/origin/d2c3b5acabc992cadc3ad6301e18d771.png"> 上单调减少C. 曲线<img src="http://p.ananas.chaoxing.com/star3/origin/f6ba4620595bb659b5caabf2743c2819.png">在区间<img src="http://p.ananas.chaoxing.com/star3/origin/755c6782203d2c11fc1f048169580bfd.png">内是上凸的D. 曲线<img src="http://p.ananas.chaoxing.com/star3/origin/f6ba4620595bb659b5caabf2743c2819.png">在区间<img src="http://p.ananas.chaoxing.com/star3/origin/f87e340bd8011dd1c4682b809ee98781.png">上单调减少,在<img src="http://p.ananas.chaoxing.com/star3/origin/d2c3b5acabc992cadc3ad6301e18d771.png"> 上单调增加

函数<img src="http://p.ananas.chaoxing.com/star3/origin/81c5ec33db496c27ab4f692741a6985c.png">的导函数的零点的个数为( )

A. 1B. 2C. 0D. 3

设<img src="http://p.ananas.chaoxing.com/star3/origin/1570ed68b5a1e66c09067dc7ad2118ce.png">,其中<img src="http://p.ananas.chaoxing.com/star3/origin/7b82b54bacdee9a1639e6f1095c7577a.png">,则<img src="http://p.ananas.chaoxing.com/star3/origin/c6ec0e18b2bd6e3cd4e8995fbc2beaae.png">在区间<img src="http://p.ananas.chaoxing.com/star3/origin/094378f93cc35955ed343f39ebfbe6b8.png">内( )

A. 递减B. 可导C. 连续D. 无界

设<img src="http://p.ananas.chaoxing.com/star3/origin/87a0ce3c8b75588032513039a7f4ec0c.png">,则<img src="http://p.ananas.chaoxing.com/star3/origin/b6592303917a37f23730d26db98f7a7c.png">( )

A. 是零B. 不是常数C. 是一个正数D. 是一个负数

设曲线<img src="http://p.ananas.chaoxing.com/star3/origin/eea8c053d1a88b02c4ac6183198467b3.png">与曲线<img src="http://p.ananas.chaoxing.com/star3/origin/af6017a82ffcd51be76006dda477c1b7.png">在点(-1,0)处相切,其中<img src="http://p.ananas.chaoxing.com/star3/origin/07865c67f67267220dc0cfc58b32819f.png">为常数,则 ( )

A. <img src="http://p.ananas.chaoxing.com/star3/origin/9ef5176fdac5050e879be2850734f913.png">B. <img src="http://p.ananas.chaoxing.com/star3/origin/34d6e83523cdd428b017934142ff9c20.png">C. <img src="http://p.ananas.chaoxing.com/star3/origin/0cc60de9cfb8e1be38923eb7afa22c07.png">D. <img src="http://p.ananas.chaoxing.com/star3/origin/a804f03271c212c9c309d5836733df93.png">

设<img src="http://p.ananas.chaoxing.com/star3/origin/1bdc18355ca2c9cfef09f3ed6bad1c5f.png">则<img src="http://p.ananas.chaoxing.com/star3/origin/e7c7ecc66ffc0fc61eba83f52f2150d3.png">的大小关系为( )

A. <img src="http://p.ananas.chaoxing.com/star3/origin/7f450eac523b09bcd2e8453e8f166003.png">B. <img src="http://p.ananas.chaoxing.com/star3/origin/009982b93468c14456020a4be69a46e4.png">C. <img src="http://p.ananas.chaoxing.com/star3/origin/ef31473c5cc7bfa7dfb0a267f19a6697.png">D. <img src="http://p.ananas.chaoxing.com/star3/origin/5fc2c45b3cfdf872f8c228b72e6a9301.png">

<img src="http://p.ananas.chaoxing.com/star3/origin/1647aea215b9a2a41c2e190429e2bc9c.png">是以T为周期的函数,下列函数中以T为周期的函数是( )

A. <img src="http://p.ananas.chaoxing.com/star3/origin/34f69182d27ee861cbfc0f831a7452c7.png"><img src="http://p.ananas.chaoxing.com/star3/origin/f4a5794043ac052e7062cc7f519a351e.png">B. <img src="http://p.ananas.chaoxing.com/star3/origin/b0c5b54ff7710f1e06fb59a9c04df424.png">C. <img src="http://p.ananas.chaoxing.com/star3/origin/34f69182d27ee861cbfc0f831a7452c7.png">D. <img src="http://p.ananas.chaoxing.com/star3/origin/34f69182d27ee861cbfc0f831a7452c7.png"><img src="http://p.ananas.chaoxing.com/star3/origin/5a721ad80d2dfe8e399de33ebd9d5706.png">

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