函数f(x)=|sinx|cosx图像 函数f(x)=(|x|+cosx)sinx的大致图像为___...
\u9ad8\u4e2d\u6570\u5b66 \u753b\u51faf\uff08x\uff09=|sinx|+|cosx|\u7684\u56fe\u50cf\u2235|sinx|\u22650\uff0c|cosx|\u22650
\u53c8\u2235 sinx\u4e0ecosx\u4e0d\u540c\u65f6\u4e3a\u96f6
\u2234f\uff08x\uff09=|sinx|+|cosx|\uff1e0
\u2234f²(x) = sin²x+cos²x+|2sinxcosx| = 1 + |sin2x|
\u2235f(x)\uff1e0
\u2234 f(x) = \u221a(1 + |sin2x|)
\u663e\u7136f(x)\u662f\u5947\u51fd\u6570\uff0c\u5927\u81f4\u56fe\u50cf\u5982\u4e0b
\u53ef\u4ee5\u53d6\u51e0\u4e2a\u7279\u6b8a\u70b9\u7684\u503c\uff0c\u4f8b\u5982\uff1af(0)=0,f(\u03c0/2)=\u03c0/2,f(\u03c0)=0\u7136\u540e\u8fde\u8d77\u6765\u3002
我只画了（0，2π）的图像，这个函数是偶函数关于y轴对称，循环周期T=2π，剩下的你应该知道什么样的
绛旓細鐐瑰嚮鍥剧墖鏌ョ湅瑙ｇ瓟
绛旓細鐢遍璁炬湁f锛坸锛=cosx+sinx= 2 sin(x+ 蟺 4 ) 锛庯紙I锛鍑芥暟f锛坸锛鐨勬渶灏忔鍛ㄦ湡鏄疶=2蟺锛庯紙II锛夌敱 f( x 0 )= 4 2 5 寰 2 sin( x 0 + 蟺 4 )= 4 2 5 锛屽嵆 sin( x 0 + 蟺 4 )= 4...
绛旓細锛堚厾锛夌敱棰樻剰鐭ワ紝 f(x)= 5 2 sin2x+ 5 3 2 (1+cos2x)- 5 3 2 = 5 2 sin2x+ 5 3 2 cos2x = 5( 1 2 sin2x+ 3 2 cos2x)=5sin(2x+ 蟺 3 ) 锛 鐢 2k蟺- 蟺 2 鈮2x+ ...
绛旓細骞鍑芥暟鐨勫鏁帮紝寮曠悊1limx鈫0(1+x)a_1x=a(a鈭圧)璇佹槑浠(1+x)a_1=t锛屽垯褰搙鈫0鏃秚鈫0limx鈫0(1+x)a_1x=limx鈫0[(1+x)a_1ln_(1+x)a_aln_(1+x)x]=limt鈫0tln_(1+t)_limx鈫0aln_(1+x)x=a銆傝f(x)=xa(a鈭圧)锛孌涓篺(x)鐨勫畾涔夊煙涓旇瀹歺鈭圖,x鈮0f(x)=lim...
绛旓細f(x)=sinx+cosx =鈭2[sinx*(鈭2/2)+cosx(鈭2/2)]=鈭2[sinxcos(蟺/4)+cosxsin(蟺/4)]=鈭2sin(x+蟺/4)sin伪+cos伪=3/4 骞虫柟寰1+2sin伪cos伪=9/16 鎵浠1+sin2伪=9/16 鎵浠in2伪=-7/16
绛旓細瑙ｏ紙鈪狅級鍑芥暟 f(x)= 3 sinxcosx+co s 2 x+a = 3 2 sin2x+ 1+cosx 2 +a =sin锛2x+ 蟺 6 锛+a+ 1 2 锛庘埖蠅=2锛屸埓T=蟺鐢 蟺 2 +2k蟺鈮2x+ 蟺 6 鈮 3蟺 2 +2k蟺锛屽緱 蟺 6 +k...
绛旓細锛堚厾锛 f(x)=2 3 sinxcosx+2co s 2 x-1= 3 sin2x+cos2x = 2sin(2x+ 蟺 6 ) 鍒 g(x)=|2sin(2x+ 蟺 6 )| 锛屸埖y=|sinx|鐨勫崟璋冮掑噺鍖洪棿涓 [k蟺+ 蟺 2 锛宬蟺+蟺] 锛岋紙k鈭圸锛夛紟 鈭寸敱 k蟺+ 蟺 2 鈮2x+ ...
绛旓細锛1锛夆埖f锛坸锛=cosx+sinx= 2 cos锛坸- 蟺 4 锛夛紝鈭鍑芥暟f锛坸锛鐨勫懆鏈熶负2蟺锛屽張鈭-1鈮os锛坸- 蟺 4 锛夆墹1锛屽垯鍑芥暟f锛坸锛夌殑鍊煎煙涓篬- 2 锛 2 ]锛涳紙2锛夆埖f锛坸锛= 2 cos锛坸- 蟺 4 锛= 1 5 锛屸埓cos锛坸- 蟺 ...
绛旓細瑙ｏ細 f(x)=鈭3sinx/4co sx/4鍗乧os²x/4 =鈭3/2路sinx/2+(1+cosx/2)/2 =鈭3/2路sinx/2+1/2路cosx/2+1/2 =sinx/2路cos蟺/6+cosx/2路sin蟺/6+1/2 =sin(x/2+蟺/6)+1/2 鈭 姝鍑芥暟鐨勬渶澶у兼槸3/2.鏈灏忓兼槸-1/2锛 鍛ㄦ湡鏄4蟺銆
绛旓細锛1锛夆埖a=-4鈭 f(x)=co s 4 x-si n 4 x+2asi n 2 ( x 2 - 蟺 4 ) =cos2x-4锛1-cos锛坸- 蟺 2 锛夛級=1-2sin 2 x+4sinx-4=-2锛坰inx-1锛 2 -1锛屸埖x鈭圼 蟺 6 锛 2蟺 3 ]锛屸埓 1 2 鈮inx...
