资源描述
a0a2a1a2a3a2a4a2a5a2a6a2a4a8a7a8a9a8a10a8a3a8a4a8a11a8a12a8a52006 a13a2a14a2a15a11a2a12a2a16a2a17a8a16a8a18a8a19a8a19a8a20a21a23a22a23a24a26a25a28a27a30a29a23a31a23a32a23a33a35a34a36a31a23a24a23a37a23a38 310a39 (3 a40a23a41a23a42a23a43a23a44a30a45a32 150 a32 )a46 a27a30a47a23a48a23a49a23a50a23a51a23a52a23a53a23a54a23a49a23a55a23a56a23a57a44a53a23a54a23a58a23a59a23a57a23a60a23a61a23a62a23a56a23a57a23a63a23a64a23a65a23a66a23a671 (15 a68 ) a69 a;b a70a72a71a72a73a72a74a72a75a72a76 x = 0 a77a72a78a72a79a72a80y =80; a85a72a75P1n=11ana86a72a87a72a88a69a72a89a72a85a72a75P1n=11an+1 a90a86a72a87a72a913 (15 a68 ) a92 m;n 0 a93a72a94a72a75a88a69a72a95a72a68R 10 xm(1 x)ndxa96a72a97a914 (15 a68 ) a92 a 0;f(x) a98 a;a a99a72a96a72a100a72a101a72a96a72a102a72a74a72a75a88a104a103Zaaf(x)1 + ex dx =Z a0f(x)dx:5 (15 a68 ) a92a105a74a105a75 f(x) a76a105a106a105a107 a;b a96a105a108a105a109a105a110a112a111a105a113a105a114a116a115a118a117a105a78a118a79a118a119 f0(a) = f0(b) = 0;a103a105a120a762 (a;b) a70a72a121jf00( )j 4(b a)2jf(b) f(a)j:6 (15 a68 ) a92a72a122a72a97a72a74a72a75 f(x) a123a72a124a72a125a72a126a72a79a72a75a72a76a127a111a72a113 a;b a99a72a128a72a100a72a101a88a104a129a119 f(a) = 0;a103maxx2a;bjf(x)j pb a(Z bajf0(t)j2dt)1=2;Z baf2(x)dx 12(b a)2Z bajf0(x)j2dx:7 (15 a68 ) a92 n a98a72a130a72a131a127a111a84a132 D a96a72a133a127a134a84a135a72a136a72a137 C a96a72a138a72a139a127a134a88a104a103ICunds =ZZD(2ux2 +2uy2 )dxdy:8 (15 a68 ) a92a127a140a84a137 : x2a2 + y2b2 = 1 a96a72a141a72a142a72a143a72a144a127a145a84a146a72a96a105a131a105a95a105a68a72a147a105a98 L a143 S, a148a72a149 J = H (b2x2 +2xy + a2y2)ds;a103J = S2L 2a919 (15 a68 ) a150a72a151a72a95a72a68R 10dx1+x3 a96a72a97 a88a104a152 a89a127a153a84a154 a90a72a155a72a156 a75a72a157a105a85a105a75P1n=1( 1)n 13n 2 a96a72a143a9110 (15 a68a159a158a160a69a127a140a84a137 x = acos3 t;y = asin3 t(a 0) a161a72a162a72a137 y = x a163a72a164a72a144a72a146a72a96a127a140a84a131a72a96a72a165a72a131a105a95a911a0a2a1a4a3a6a5a2a7a2a8a2a5a10a9a12a11a10a13a14a3a15a5a14a16a15a17a10a72006 a18a2a19a6a20a22a21a2a23a2a24a6a25a5a14a26a10a16a15a17a10a27a14a28a15a5a10a13a10a29a14a30a10a31a10a31a10a32a3 a33a35a34a2a36a6a37a14a38a2a39a22a40a15a8 a41a42a40a10a43a15a37 839a44a45a47a46a49a48a51a50a51a521. a53a51a54a51a55a51a56a51a57a51a58 150 a57a51a59a61a60a51a62a45a54a47a63a51a64a51a65a49a66 180 a57a51a67a51a682 a69a61a70a51a71a51a72a51a73a51a74a48a51a75a51a76a72a51a77a47a78a49a79a51a59a75a51a76a54a51a55a51a79a51a80a51a81a51a82a47a78a49a79a47a83a49a84a51a85a51a86a51a681. (16 a87 ) a88a61a89 , , a90a92a91a92a93a92a94a51a95 A =0BBBBB. . 1CCCCCA2 Rn n a96a98a97a92a99a101a100a92a96a98a102a92a1032. (16 a87 ) a104a106a105a108a107a108a109a35a1108:a11x1 + a12x2 + + a1nxn = 0a21x1 + a22x2 + + a2nxn = 0an 1;1x1 + an 1;2x2 + + an 1;nxn = 0a96a108a111a93a108a112a35a113a106a90A =0BBBBa11 a12 a1na21 a22 a2nan 1;1 an 1;2 an 1;n1CCCCA:a114 Mj(j = 1; 2; ; n) a115a108a116a108a112a35a113 A a117a119a118a35a120a106a121 j a99a108a122a108a123a108a124a35a96 n 1 a125a106a126 a100a106a103a128a127a108a129a108a130(i) (M1; M2; ; ( 1)n 1Mn) a115a108a107a108a109a35a110a96a108a131a106a132a108a133a108a134(ii) a135a137a136 A a96a139a138 a90 n 1, a140a142a141a139a107a137a109a142a110a96a139a133a137a143a115 (M1; M2; ; ( 1)n 1Mn) a96a139a144a93a1033. (16 a87 ) a145 a90a131a91a108a93a108a94a127a108a146a108a147 limn!+11 nn 1!n:4. (18 a87 ) a114 a a90a92a91a92a93a92a94 A =0BBBBBa 1a . 1a1CCCCCA2 R100 100,a95 A50 a121a131a98a97a92a148a101a149a98a150a92a151a108a10311a152a98a153a155a154a157a156a157a158a160a159a157a161a157a162a157a163 a164 1a165 a166 2 a1655. (18 a87 ) a145a168a167a61a169a101a110 1; 2; ; s(s 2) a104a98a105a92a170a101a171a98a94a42a172a92a173 1 + 2; 2 + 3; ; s 1 +s; s + 1 a104a106a105a108a174a35a171a106a105a1036. (18 a87 ) a88a119a89a35a175a106a176a4a177a106a178a106a107a137a109 x2 + ay2 + z2 + 2bxy + 2xz + 2yz = 4 a179a35a180a119a181a108a182a108a183a35a184a139a1850Bxyz1CA = P0Bx0y0z01CAa186a90a108a187a35a188a106a189a35a178a106a107a108a109 y02 + 4z02 = 4. a95 a; b a96a106a102a108a151 a182a108a183a108a112a35a113 P.7. (16 a87 ) a114a108a190 a91a35a175a106a176a108a191 f(x) = xAx, a192a4a117 x a115 x a96a106a193a108a194 a94 A a115 3 3 a91a108a195a108a196a108a112a113a106a197a108a198a108a199a4a180a106a200a106a107a108a109a130A3 6A2 + 11A 6I = 0:a127a108a146a108a147maxAmaxkxk=1f(x):a192a4a117 kxk2 = x21 + x22 + x23, a121a131a106a132a108a201a108a202a108a102a115a108a195a108a198a108a199a203a180a119a204a137a107a137a109a96a139a122a190a91a137a195a108a196a137a112a142a113 A a205a95a1038. (16 a87 )A 2 R2006 2006 a115a207a206a207a208a96a210a209a207a211a113 (a212a130a214a213a116a207a182a207a215a92a93 pa216a123 Ap = 0a217 Ap 1 6= 0),a127a87a108a218a35a104a106a105a108a107a108a109a35a110 Ax = 0 (x 2 R2006) a219a211a108a220a108a221a108a133a108a132a93a96a108a222a106a202a137a102a137a151a35a222a139a223a108a102a137a1039. (16 a87 ) a114 f a115a190a101a224a98a225a167a61a169a35a226a108a227 V a204a96a104a98a105a101a184a98a185a108a94a119a228 fn a115 V a204a96a98a229a92a230a184a98a185a108a94a119a231a142a232n a115a108a233a132a182a108a215a108a93a103a114 W = fv 2 V jf(v) = vg.a129a35a234 Wa115 V a96a108a131a106a132 a126a35a226a108a227a106a94a106a197a108a228a108a192a225a93a230a108a235a104a106a105a35a184a106a185 (f + f2 + + fn)=n a96a106a236a108a10322a152a98a153a155a154a157a156a157a158a160a159a157a161a157a162a157a163 a164 2a165 a166 2 a165
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