已知f(sinx)=2sin^2x-sinx,求f(x)

f(sinx)=2sin²x-sinx
令sinx=t
则:
f(t)=2t²-t
即:
f(x)=2x²-x

  • 宸茬煡鍑芥暟f(x)=2sin²x+2鍊嶆牴鍙3sinxcosx-1,
    绛旓細鈭f(x)=2sin²x+2鈭3sinxcosx-1 =鈭3sin2x-cos2x =2(鈭3/2sin2x-1/2cos2x)=2sin(2x-蟺/6)褰2x-蟺/6=2k蟺-蟺/2,k鈭圸 鍗硏=k蟺-蟺/6,k鈭圸鏃讹紝f(x)鍙栧緱鏈灏忓-2 姝ゆ椂x闆嗗悎{x|x=k蟺-蟺/6,k鈭圸} (2)褰 x鈭圼蟺/6锛屜/2]鏃讹紝2x鈭圼蟺/3,蟺]2x-蟺/6鈭...
  • 宸茬煡鍑芥暟f(x)=2sinx(sinx+cosx)-|,x灞炰簬R銆 (1)鑻灞炰簬[0,2鍒嗕箣娲...
    绛旓細(1)f(x)=2sinx(sinx+cosx)-1=2sin^2(x)+sin2x=(1-cos2x)+sin2x-1=sin2x-cos2x=鈭2sin(2x-蟺/4)0鈮鈮は/2 0鈮2x鈮は -蟺/4鈮2x-蟺/4鈮3蟺/4 -鈭2/2鈮in(2x-蟺/4)鈮1 -1鈮も垰2sin(2x-蟺/4)鈮-鈭2 -1鈮(x)鈮も垰2 (2)灏唝=sinx鍚戝彸绉幌/4寰楀埌y=sin(x-...
  • 宸茬煡f(X)=2X^2-2X +1,璇哄叧浜嶺鐨勬柟绋f(sinX)=a鍦▄0,蟺)涓婃伆鏈変袱涓В...
    绛旓細宸茬煡f(x)=2x²-2x+1,鑻ュ叧浜嶺鐨勬柟绋媐(sinx)=a鍦(0,蟺)涓婃伆鏈変袱涓В,鍒檃鐨勫彇鍊奸泦鍚堜负?瑙o細f(sinx)=2sin²x-2sinx+1 浠 '(sinx)=4sinx-2=0锛屽緱sinx=1/2锛屽嵆褰搒inx=1/2鏃秄(sinx)鑾峰緱鏋佸皬鍊1/2锛涙鏃秞=蟺/6鎴5蟺/6.褰搙=0鏃秙inx=0锛宖(0)=1锛泋=蟺/6鏃秄[...
  • 宸茬煡鍑芥暟f(x)=2sin(2x-蟺/3)+1
    绛旓細鈭村崟璋冨噺鍖洪棿涓篬k蟺+5蟺/12锛宬蟺+11蟺/12] k鈭圸 (2)瑙f瀽锛歛•f((1/2)x+蟺/6)=a[2sinx+1]g(x)锛漚•f((1/2)x+蟺/6)+cos2x=-2(sinx)^2+2asinx+a+1 褰揳=0鏃 g(x)=cos2x 2x=2k蟺==>x=k蟺锛実(x)鍙栨瀬澶у1 褰0<a<=2鏃 浠鈥(x)=-4sinx...
  • 宸茬煡鍑芥暟f(x)= sin^2dx,璇曟眰f(x)=
    绛旓細绉垎杩囩▼涓 浠 = sin胃锛屽垯dx = cos胃 d胃 鈭垰(1-x²)dx =鈭垰(1-sin²胃)(cos胃 d胃)=鈭玞os²胃d胃 =鈭(1+cos2胃)/2d胃 =胃/2+(sin2胃)/4+C =(arcsinx)/2+(sin胃cos胃)/2 + C =(arcsinx)/2+(x鈭(1 - x²))/2+C =(1/2)[arcsinx...
  • 宸茬煡鍑芥暟fx=sin^2+sin2x(1)姹傚嚱鏁癴x鐨勬渶灏忔鍛ㄦ湡鍜屾渶澶у
    绛旓細f(x)=sin2x-2锛坰inx锛塣2锛漵in2x-锛坈os2x+1锛夛紳sin2x-cos2x-1锛濇牴鍙2*sin(2x-蟺/4锛-1,鎵浠,鏈灏忔鍛ㄦ湡鏄,鏈澶у兼槸锛氾紙鏍瑰彿2锛-1.鏈澶у兼椂,2x-蟺/4锛2k蟺+蟺/2,x锛漦蟺+3蟺/8,k涓烘暣鏁.
  • 宸茬煡鍑芥暟fx=2sinxsin(x+蟺/6) 姹傛渶灏忔鍛ㄦ湡鍗曡皟澧炲尯闂 x灞炰簬銆0,蟺...
    绛旓細瑙x=2sinxsin(x+蟺/6)=cos[x-(x+蟺/6)]-cos[x+(x+蟺/6)]=-cos(2x+蟺/6)+鈭3/2 鏁呭嚱鏁扮殑鍛ㄦ湡T=2蟺/2=蟺 褰2k蟺鈮2x+蟺/6鈮2k蟺+蟺锛宬灞炰簬Z鍑芥暟鏄鍑芥暟 鏁呭嚱鏁扮殑澧炲尯闂存槸[k蟺-蟺/12,k蟺+5蟺/12],k灞炰簬Z 鐢眡灞炰簬銆0锛屜/2銆戠煡2x灞炰簬銆0锛屜銆戝嵆2x+蟺/6灞炰簬...
  • ...鏈濂藉湪鏅氫笂瑙e喅銆傝阿璋㈠悇浣嶄簡銆宸茬煡鍑芥暟f(x)=2sinxcosx+2鈭3cos²...
    绛旓細=sin2x+鈭3cos2x =2(1/2sin2x+鈭3/2cos2x)---鏍规嵁鍏紡asinx+bcosx=鈭歛²+b²[sin(x+b)].閲岄潰鐨剎+b鏄 鏍规嵁鎻愬叕鍥犲紡閰嶇殑 =2锛1/2sin2x+鈭3/2cos2x)=2sin(2x+蟺/3)鈭碩=2蟺/2=蟺 鍛ㄦ湡=2蟺/x鍓嶉潰鐨勭郴鏁 锛2锛夆埖f(A)=1鈭村甫鍏ュ垰鍖栫畝鐨勫紡瀛愩=2sin(2A+蟺...
  • 宸茬煡鍑芥暟f(X)=2sinXcosX+2cos骞虫柟X-1 (1)姹傚嚱鏁癴(X)鐨勬渶灏忔鍛ㄦ湡(2...
    绛旓細f(x)=2sinxcosx+2(cosx)^2-1 =sin(2x)+cos(2x)=鈭2sin(2x+蟺/4)=鈭2sin[2(x+蟺/8)]鏈灏忔鍛ㄦ湡T=2蟺/2=蟺 2k蟺-蟺/2鈮2x+蟺/4鈮2k蟺+蟺/2 (k鈭圸)鏃讹紝鍑芥暟鍗曡皟閫掑锛屾鏃秌蟺-3蟺/8鈮鈮蟺+蟺/8 2k蟺+蟺/2鈮2x+蟺/4鈮2k蟺+3蟺/2 (k鈭圸)鏃讹紝鍑芥暟鍗曡皟閫掑噺...
  • (1/2)宸茬煡鍑芥暟f(x)=2sinxcosx+sin(2x+娲/2). (1)鑻灞炰簬R,姹俧(x)鐨...
    绛旓細f(x)=2sinxcosx+sin(2x+娲/2)=sin2x+cos2x =(鏍瑰彿2)sin(2x+(pi/4))鏈灏忔鍛ㄦ湡=2pi/2=pi 褰-(pi/2)+2n*pi<=2x+(pi/4)<=(pi/2)+2n*pi 鍗筹細n*pi -(3pi/8) <=x<= n*pi +(pi/8) 鏃讹紝f(x)鍗曡皟閫掑
  • 扩展阅读:sin x+y ... sin计算表 ... xf sinx dx ... 2sinx图 ... sin tan cos函数表 ... 当角度足够小时sin ... 方程计算器 ... tan sin cos 数值表图 ... sin度数表大全0到180 ...

    本站交流只代表网友个人观点,与本站立场无关
    欢迎反馈与建议,请联系电邮
    2024© 车视网