确定常数 [tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex] 和 [tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex], 使得当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时, [tex=4.5x1.286]z8Zl4a4rDlph2+mvCCKN5Q==[/tex][tex=7.143x1.286]9C+8fat9zBqlZoFWxHf+tKFM2A4d0Xw5WBRU/pURg4Q=[/tex] 是关于 [tex=0.571x1.286]XubEW9+1+hkJqH7jXe5MrA==[/tex] 的 5 阶无穷小.
举一反三
- 试确定常数[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]和[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]；使[tex=12.071x1.286]oT4zyO7VRDCuBWoN5WhPMvJmoGgzqk1iRyp0BEIprA0=[/tex]为当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex]时关于 [tex=0.571x1.286]XubEW9+1+hkJqH7jXe5MrA==[/tex] 的5 阶无穷小。
- 随机变量[tex=0.5x1.286]cFLrzlMvECfU5CTqcvierw==[/tex]分别以概率0.4、[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]、[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]和[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]取值1、2、3、4，并且[tex=3.071x1.286]fknOBgzbjEu52cPH0WBW3g==[/tex]，[tex=3.071x1.286]UAJJxdfCoB8SKuppr0cT/w==[/tex].求[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]、[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]。
- 设 [tex=4.357x1.286]SSNFRGnoX7zsz3xh++Or+6bGEzg4WVTjxvrT9l8ci28=[/tex], 求证当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时，(1) [tex=9.929x1.286]KTKjDLnNKTyVwhLDKQFcZITMBx36hwY25HEMB9j4K8oW+Df8//LkR5xZtFFj85DZaKB7MVK3F887cED4kbDDttwRHau9Myxvd7voCmT4Ydw=[/tex], [tex=6.071x1.286]GLquATPBBnQk5XqmjpA48x3nMmZffjUtlp4bUKZtXR4=[/tex].(2) [tex=10.929x1.286]KTKjDLnNKTyVwhLDKQFcZH1K1zf3/A1ue2qiDwdL51Ha0tuVvRI2n8OX8UWK+FBATNXqueay6STtmurclki37vs5SZEKZK5wfzyX7nQdjew=[/tex].(3) 若 [tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex] 是 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时的无穷小 , 则 [tex=5.786x1.286]9LmX2pUZThFDV1gq8YR4fYxveQhPWxMWfkXCPgNubd5zbXAVQGotGbcJLD1P/4Zz[/tex].(4) [tex=6.714x1.286]Z6J3tnj49hqi3vj69h66sruAiTwW3O3jA1Wa0/1xk6FXkAdv7s1uBp+PE0aN/J7Z[/tex] [tex=3.071x1.286]NqTlYScn/3fYcSllto8JFw==[/tex].
- 已知：直线[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]、[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]、[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]、[tex=0.571x1.286]E8TCNnEPtMKJ0mC2xxh0/Q==[/tex]是两两相交且不过同一点的四条直线，求证：直线[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]、[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]、[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]、[tex=0.571x1.286]E8TCNnEPtMKJ0mC2xxh0/Q==[/tex]共面。
- 如果正数[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]，[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]，[tex=0.571x1.286]E8TCNnEPtMKJ0mC2xxh0/Q==[/tex]满足[tex=6.143x1.286]ZmgY4IYKNAnTxjSaOa1RjQ==[/tex]，那么 未知类型：{'options': ['[tex=4.429x1.286]LJI1FiqfFfvLk57V4PrnIg==[/tex]，且等号成立时[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]，[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]，[tex=0.571x1.286]E8TCNnEPtMKJ0mC2xxh0/Q==[/tex]的取值唯一', '[tex=4.429x1.286]TX9Qz0sE7bWEvnntsBl/HA==[/tex]，且等号成立时[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]，[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]，[tex=0.571x1.286]E8TCNnEPtMKJ0mC2xxh0/Q==[/tex]的取值唯一', '[tex=4.429x1.286]LJI1FiqfFfvLk57V4PrnIg==[/tex]，且等号成立时[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]，[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]，[tex=0.571x1.286]E8TCNnEPtMKJ0mC2xxh0/Q==[/tex]的取值不唯一', '[tex=4.429x1.286]TX9Qz0sE7bWEvnntsBl/HA==[/tex]，且等号成立时[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]，[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]，[tex=0.571x1.286]E8TCNnEPtMKJ0mC2xxh0/Q==[/tex]的取值不唯一', '以上均不正确'], 'type': 102}